9515. Reduceto the lowest terms. 5716. Find the greatest number which

1.	9515. Reduceto the lowest terms. 5716. Find the greatest number which divides 284 and 1,252 leaving the remainder 8 and 10 respectively.23als ich
Answer» 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

9515. Reduceto the lowest terms. 5716. Find the greatest number which divides 284 and 1,252 leaving the remainder 8 and 10 respectively.23als ich

Answer»

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

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