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What will be the least possible number of the planks, if three pieces of timber 42 m,49m 63 m long have to be divided into planks of same length?
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What will be the least possible number of the planks, if three pieces ...
Calculating the least possible number of planks:
To find the least possible number of planks, we need to determine the greatest common divisor (GCD) of the three given lengths - 42m, 49m, and 63m.
Finding the GCD:
- The prime factors of 42 are 2 x 3 x 7
- The prime factors of 49 are 7 x 7
- The prime factors of 63 are 3 x 3 x 7
Therefore, the GCD of 42, 49, and 63 is 7.
Calculating the length of each plank:
To find the length of each plank, we divide the total length of the timber by the GCD.
- For 42m timber: 42m / 7 = 6m
- For 49m timber: 49m / 7 = 7m
- For 63m timber: 63m / 7 = 9m
Determining the least possible number of planks:
The least possible number of planks will be the total length of all timber divided by the length of each plank.
- Total length = 42m + 49m + 63m = 154m
- Length of each plank = 7m (GCD)
- Number of planks = Total length / Length of each plank = 154m / 7m ≈ 22
Therefore, the least possible number of planks required to divide three pieces of timber 42m, 49m, and 63m long into equal lengths is 22.
To find the least possible number of planks, we need to determine the greatest common divisor (GCD) of the three given lengths - 42m, 49m, and 63m.
Finding the GCD:
- The prime factors of 42 are 2 x 3 x 7
- The prime factors of 49 are 7 x 7
- The prime factors of 63 are 3 x 3 x 7
Therefore, the GCD of 42, 49, and 63 is 7.
Calculating the length of each plank:
To find the length of each plank, we divide the total length of the timber by the GCD.
- For 42m timber: 42m / 7 = 6m
- For 49m timber: 49m / 7 = 7m
- For 63m timber: 63m / 7 = 9m
Determining the least possible number of planks:
The least possible number of planks will be the total length of all timber divided by the length of each plank.
- Total length = 42m + 49m + 63m = 154m
- Length of each plank = 7m (GCD)
- Number of planks = Total length / Length of each plank = 154m / 7m ≈ 22
Therefore, the least possible number of planks required to divide three pieces of timber 42m, 49m, and 63m long into equal lengths is 22.
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What will be the least possible number of the planks, if three pieces of timber 42 m,49m 63 m long have to be divided into planks of same length?
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What will be the least possible number of the planks, if three pieces of timber 42 m,49m 63 m long have to be divided into planks of same length? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What will be the least possible number of the planks, if three pieces of timber 42 m,49m 63 m long have to be divided into planks of same length? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the least possible number of the planks, if three pieces of timber 42 m,49m 63 m long have to be divided into planks of same length?.
What will be the least possible number of the planks, if three pieces of timber 42 m,49m 63 m long have to be divided into planks of same length? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What will be the least possible number of the planks, if three pieces of timber 42 m,49m 63 m long have to be divided into planks of same length? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the least possible number of the planks, if three pieces of timber 42 m,49m 63 m long have to be divided into planks of same length?.
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