GCD of 462, 525, 357, 637 Calculator

Given Input numbers are 462, 525, 357, 637

In the factoring method, we have to find the divisors of all numbers

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

GCD of numbers is the greatest common divisor

So, the GCD (462, 525, 357, 637) = 7.

Given numbers are 462, 525, 357, 637

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 357 are 3 x 7 x 17

Prime factors of 637 are 7 x 7 x 13

The highest common occurrence is 7¹

Therefore, GCD of 462, 525, 357, 637 is 7.

Given numbers are 462, 525, 357, 637

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(462, 525) = 11550

GCD(462, 525) = ( 462 x 525 ) / 11550

= 462 / 525

= 462

Step2:

LCM(21, 357) = 357

GCD(21, 357) = ( 21 x 357 ) / 357

= 21 / 357

= 21

Step3:

LCM(21, 637) = 1911

GCD(21, 637) = ( 21 x 637 ) / 1911

= 21 / 637

= 21

So, Greatest Common Divisor of 462, 525, 357, 637 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 789, 407, 524
• GCD of 224, 954, 725, 862
• GCD of 313, 832, 444, 173
• GCD of 441, 501, 174, 916
• GCD of 331, 490, 567, 282

Given numbers are 462, 525, 357, 637
The greatest common divisor of numbers 462, 525, 357, 637 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 525, 357, 637 is 7.

1. What is the GCD of 462, 525, 357, 637?

GCD of given numbers 462, 525, 357, 637 is 7

2. How to calculate the greatest common divisor of 462, 525, 357, 637?

We can find the highest common divisor of 462, 525, 357, 637 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 462, 525, 357, 637 i.e 7.

3. How can I use the GCD of 462, 525, 357, 637Calculator?

Out the numbers 462, 525, 357, 637 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.