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Find the largest number that will divide 75 123 and 195 leaving a remainder 3 in each case?
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Find the largest number that will divide 75 123 and 195 leaving a rema...
Finding the Largest Number
To find the largest number that will divide 75, 123, and 195 leaving a remainder of 3 in each case, we need to identify the common factors among the given numbers.
Step 1: Find the Factors of the Numbers
1. Factors of 75: 1, 3, 5, 15, 25, 75
2. Factors of 123: 1, 3, 41, 123
3. Factors of 195: 1, 3, 5, 13, 15, 39, 65, 195
Step 2: Identify the Common Factors
From the factors listed above, we can see that the common factors among 75, 123, and 195 are 3. This means that any number that can divide all three numbers leaving a remainder of 3 must be a multiple of 3.
Step 3: Finding the Largest Number
To find the largest number, we need to find the highest common factor (HCF) of 75, 123, and 195. Using the common factor of 3, we can calculate the HCF as follows:
HCF = 3
Therefore, the largest number that will divide 75, 123, and 195 leaving a remainder of 3 in each case is 3.
To find the largest number that will divide 75, 123, and 195 leaving a remainder of 3 in each case, we need to identify the common factors among the given numbers.
Step 1: Find the Factors of the Numbers
1. Factors of 75: 1, 3, 5, 15, 25, 75
2. Factors of 123: 1, 3, 41, 123
3. Factors of 195: 1, 3, 5, 13, 15, 39, 65, 195
Step 2: Identify the Common Factors
From the factors listed above, we can see that the common factors among 75, 123, and 195 are 3. This means that any number that can divide all three numbers leaving a remainder of 3 must be a multiple of 3.
Step 3: Finding the Largest Number
To find the largest number, we need to find the highest common factor (HCF) of 75, 123, and 195. Using the common factor of 3, we can calculate the HCF as follows:
HCF = 3
Therefore, the largest number that will divide 75, 123, and 195 leaving a remainder of 3 in each case is 3.
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Find the largest number that will divide 75 123 and 195 leaving a remainder 3 in each case?
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Find the largest number that will divide 75 123 and 195 leaving a remainder 3 in each case? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the largest number that will divide 75 123 and 195 leaving a remainder 3 in each case? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the largest number that will divide 75 123 and 195 leaving a remainder 3 in each case?.
Find the largest number that will divide 75 123 and 195 leaving a remainder 3 in each case? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the largest number that will divide 75 123 and 195 leaving a remainder 3 in each case? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the largest number that will divide 75 123 and 195 leaving a remainder 3 in each case?.
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