Question

Find the largest number which divides 300 and 525 and gives remainder as 0.




Please solve with step by step explanation​

Answer 1

Let us first subtract the remainders from the given numbers as follows:

1630−6=1624

525−3=522

1280−4=1276

Now, let us factorize 1624,522 and 1276 as shown below:

1624=2×2×2×7×29

522=2×3×3×29

1276=2×2×11×29

We know that the largest positive integer which divides two or more integers without any remainder is called Highest Common Factor (HCF).

Therefore, the HCF of 1624,522 and 1276 is:

HCF=2×29=58

Hence, the largest number is 58.

Answer 2

Answer:

if you are asking about HCF then the answer  is 75