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Renu purchases two bags of fertiliser of
weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times?
weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times?
Most Upvoted Answer
Renu purchases two bags of fertiliser of weights 75kg and 69kg. find t...
Analysis:
To find the maximum value of weight which can measure the weight of the fertiliser exactly, we need to find the greatest common divisor (GCD) of the two weights (75kg and 69kg). The GCD will be the maximum value that can divide both weights evenly.
Calculating GCD:
- The prime factorization of 75 is 3 * 5 * 5
- The prime factorization of 69 is 3 * 23
To find the GCD, we look for common prime factors in both numbers. In this case, the only common prime factor is 3. Therefore, the GCD of 75 and 69 is 3.
Maximum Value:
To find the maximum value of weight that can measure both 75kg and 69kg exactly, we need to find the LCM (Least Common Multiple) of the two weights. The LCM is calculated by multiplying the two numbers and dividing by their GCD.
- LCM = (75 * 69) / 3 = 25 * 69 = 1725kg
Therefore, the maximum value of weight that can measure the fertiliser exact number of times is 1725kg.
To find the maximum value of weight which can measure the weight of the fertiliser exactly, we need to find the greatest common divisor (GCD) of the two weights (75kg and 69kg). The GCD will be the maximum value that can divide both weights evenly.
Calculating GCD:
- The prime factorization of 75 is 3 * 5 * 5
- The prime factorization of 69 is 3 * 23
To find the GCD, we look for common prime factors in both numbers. In this case, the only common prime factor is 3. Therefore, the GCD of 75 and 69 is 3.
Maximum Value:
To find the maximum value of weight that can measure both 75kg and 69kg exactly, we need to find the LCM (Least Common Multiple) of the two weights. The LCM is calculated by multiplying the two numbers and dividing by their GCD.
- LCM = (75 * 69) / 3 = 25 * 69 = 1725kg
Therefore, the maximum value of weight that can measure the fertiliser exact number of times is 1725kg.
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Renu purchases two bags of fertiliser of weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times?
Question Description
Renu purchases two bags of fertiliser of weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Renu purchases two bags of fertiliser of weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Renu purchases two bags of fertiliser of weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times?.
Renu purchases two bags of fertiliser of weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Renu purchases two bags of fertiliser of weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Renu purchases two bags of fertiliser of weights 75kg and 69kg. find the maximum value of weight which can measure the weight of the fertiliser exact number of times?.
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