GCD of 507, 636, 315, 375 Calculator

Given Input numbers are 507, 636, 315, 375

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (507, 636, 315, 375) = 3.

Given numbers are 507, 636, 315, 375

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 507, 636, 315, 375 is 3.

Given numbers are 507, 636, 315, 375

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

Apply this formula for all numbers.

Step1:

LCM(507, 636) = 107484

GCD(507, 636) = ( 507 x 636 ) / 107484

= 507 / 636

= 507

Step2:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

Step3:

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

= 3 / 375

= 3

So, Greatest Common Divisor of 507, 636, 315, 375 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 281, 811, 820
• GCD of 705, 921, 761, 508
• GCD of 234, 572, 410, 883
• GCD of 732, 997, 129, 979
• GCD of 202, 753, 498, 275

Given numbers are 507, 636, 315, 375
The greatest common divisor of numbers 507, 636, 315, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 636, 315, 375 is 3.

1. What is the GCD of 507, 636, 315, 375?

GCD of given numbers 507, 636, 315, 375 is 3

2. How to calculate the greatest common divisor of 507, 636, 315, 375?

We can find the highest common divisor of 507, 636, 315, 375 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 507, 636, 315, 375 i.e 3.

3. How can I use the GCD of 507, 636, 315, 375Calculator?

Out the numbers 507, 636, 315, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.