# Find the largest number which divides 615 and 963 leaving remainder 6 in each case.

Question:

Find the largest number which divides 615 and 963 leaving remainder 6 in each case.

Solution:

We need to find the largest number which divides 615 and 963 leaving remainder 6 in each case.

The required number when divides 615 and 963 , leaves remainder 6 , this means $615-6=609$ and $963-6=957$ are completely divisible by the number.

Therefore,

The required number = H.C.F. of 609 and 957.

By applying Euclid’s division lemma

$957=609 \times 1+348$

$609=348 \times 1+261$

$348=216 \times 1+87$

$261=87 \times 3+0$

Therefore, H.C.F. = 87.

Hence, the required number is 87 .
The text contains a mathematical question and provides a detailed solution to it, including the steps and the final answer.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Find the largest number which divides 615 and 963 leaving remainder 6 in each case.

Question:

Find the largest number which divides 615 and 963 leaving remainder 6 in each case.

Solution:

We need to find the largest number which divides 615 and 963 leaving remainder 6 in each case.

The required number when divides 615 and 963 , leaves remainder 6 , this means $615-6=609$ and $963-6=957$ are completely divisible by the number.

Therefore,

The required number = H.C.F. of 609 and 957.

By applying Euclid’s division lemma

$957=609 \times 1+348$

$609=348 \times 1+261$

$348=216 \times 1+87$

$261=87 \times 3+0$

Therefore, H.C.F. = 87.

Hence, the required number is 87 .
user
The text contains a mathematical question and provides a detailed solution to it, including the steps and the final answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER