Q. 94.0( 28 Votes )

Find the largest

Answer :

we are getting 5 and 7 as remainder.


Subtracting 5 and 7 from the dividends will give us the exact division.


So, let’s subtract the remainder and find the HCF of numbers (largest number which divides both the number) -


We need to find HCF of 320 - 5 = 315 and 457 - 7 = 450.


Prime factorization of numbers -


315 = 3 × 3 × 5 × 7


450 = 2 × 3 × 3 × 5 × 5


HCF of given numbers = 3 × 3 × 5 = 45.


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