Question

95
15. Reduce
to the lowest terms. 57
16. Find the greatest number which divides 284 and 1,252 leaving the remainder 8 and 10 respectively.
23
als ich​

Answer 1

Answer:

138

Step-by-step explanation:

To find the HCF(highest common factor) as it says "the greatest number which divides"

Now to solve this, first you need to subtract the given remainders from their given respective terms :

284 - 8 = 276 and 1252 - 10 = 1242

Now as we have these two new numbers, we need to find the HCF of them :

by using Euclid's division lemma,

a=bq+r , where b>r>or=0

(this can also be solved by taking out the common factors of both the numbers)

in this case, a=1242 , b=276

1242 = 276 × 4 + 138

276=138×2+0

as the remainder is now zero, therefore 138 is the required number