What is the greatest positive integer that will exactly divide 243 and 972
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243 is the greatest possible integer which will exactly divide 243 and 972
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Answer:
243 is the greatest positive integer that will exactly divide 243 and 972.
Step-by-step explanation:
Given:-
The two numbers are 243 and 972.
To find:-
The positive integer that will exactly divide and 972.
According to the question,
Consider the given numbers as follows:
243 and 972.
We need to find the greatest positive integer.
It is enough to find the greatest common divisor (GCD) of the numbers 243 and 972.
Observe that the number 972 is the multiple of 243, i.e.,
972 = 4 × 243
So, the greatest common divisor of both the numbers is 243.
Therefore, 243 is the greatest positive integer that will exactly divide 243 and 972.
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