Question

find the largest number that will divide 382,446, and 674 leaving remainder 5,11, and 17 respectively

Answer 1

Given:

• Three number 382,446, and 674 leaving remainder 5,11, and 17 when all are divided by a number.

To Find:

• The largest number that will divide all numbers  leaving remainders 5, 11 and 17.

Solution:

First of all subtract the reminders from given numbers.

                   $382 - 5 = 377\\446 - 11 = 435\\674 - 17 = 657$

Now,  find the   $hcf (377, 435, 657)$

                   $377 = 1 \times 13 \times 29\\435 = 1 \times 3 \times 5 \times 29\\657 = 1 \times 3 \times 3\times 73$

                   $HCF = 1$

 

Hence, the largest number that will divide 382,446 and 674 leaving remainders 5, 11 and 17 respectively is 1.

Answer 2

Answer:

945

Step-by-step explanation:

Find the greatest number that divides into 3787, and 4,743 leaving remainder 7 and 18 respectively