Question

find the largest
no which divides
630 and 940 leving reminden respectivly​

Answer 1

Answer:

Answer is 312

Step-by-step explanation:                                                                                    

312 is the greatest number that divides 630 and 940, leaving 6 and 4 as the respective remainders.

Answer 2

Answer:

Since on dividing 630 by the required number, the remainder is 6. Therefore, 630−6=624 will be exactly divisible by the required number.

Similarly, 940−4=936 will be also exactly divisible by the required number.

Therefore, the required number is the HCF of 624 and 936.

Let us do the prime factorization of 624 and 936 to find the HCF:

624=2×2×2×2×3×13

936=2×2×2×3×3×13

⇒HCF(630,940)=2×2×2×3×13=312

Hence, 312 is the largest number which divides 630 and 940 leaving remainders 6 and 4.