27. Find the greatest number that will divide 445, 572 and 699, leavin

1.	27. Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5, 6respectively.test number that wil divide 445, 572 and 699, leaving remainders 4.5.6
Answer» Since the respective remainders of 445, 572 and 699 are 4, 5 and 6, we have to find the number which exactly divides (445-4), (572-5) and (696-6). So, the required number is the HCF of 441, 567 and 693.Firstly, we will find the HCF of 441 and 567. ∴ HCF = 63 Now, we will find the HCF of 63 and 693. ∴ HCF = 63 Hence, the required number is 63.

27. Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5, 6respectively.test number that wil divide 445, 572 and 699, leaving remainders 4.5.6

Answer»

Since the respective remainders of 445, 572 and 699 are 4, 5 and 6, we have to find the number which exactly divides (445-4), (572-5) and (696-6).

So, the required number is the HCF of 441, 567 and 693.Firstly, we will find the HCF of 441 and 567.

∴ HCF = 63

Now, we will find the HCF of 63 and 693.

∴ HCF = 63

Hence, the required number is 63.