GCD of 315, 252, 507, 732 Calculator

Given Input numbers are 315, 252, 507, 732

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

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (315, 252, 507, 732) = 3.

Given numbers are 315, 252, 507, 732

The list of prime factors of all numbers are

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 507 are 3 x 13 x 13

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 315, 252, 507, 732 is 3.

Given numbers are 315, 252, 507, 732

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

Apply this formula for all numbers.

Step1:

LCM(315, 252) = 1260

GCD(315, 252) = ( 315 x 252 ) / 1260

= 315 / 252

= 315

Step2:

LCM(63, 507) = 10647

GCD(63, 507) = ( 63 x 507 ) / 10647

= 63 / 507

= 63

Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 315, 252, 507, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 547, 879, 850
• GCD of 599, 811, 101, 208
• GCD of 134, 906, 292, 527
• GCD of 471, 739, 436, 533
• GCD of 967, 680, 534, 589

Given numbers are 315, 252, 507, 732
The greatest common divisor of numbers 315, 252, 507, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 252, 507, 732 is 3.

1. What is the GCD of 315, 252, 507, 732?

GCD of given numbers 315, 252, 507, 732 is 3

2. How to calculate the greatest common divisor of 315, 252, 507, 732?

We can find the highest common divisor of 315, 252, 507, 732 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 315, 252, 507, 732 i.e 3.

3. How can I use the GCD of 315, 252, 507, 732Calculator?

Out the numbers 315, 252, 507, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.