GCD of 507, 972, 540, 645 Calculator

Given Input numbers are 507, 972, 540, 645

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

GCD of numbers is the greatest common divisor

So, the GCD (507, 972, 540, 645) = 3.

Given numbers are 507, 972, 540, 645

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 645 are 3 x 5 x 43

The highest common occurrence is 3¹

Therefore, GCD of 507, 972, 540, 645 is 3.

Given numbers are 507, 972, 540, 645

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

Apply this formula for all numbers.

Step1:

LCM(507, 972) = 164268

GCD(507, 972) = ( 507 x 972 ) / 164268

= 507 / 972

= 507

Step2:

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

= 3 / 540

= 3

Step3:

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

= 3 / 645

= 3

So, Greatest Common Divisor of 507, 972, 540, 645 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 227, 150, 758
• GCD of 308, 107, 478, 926
• GCD of 382, 596, 512, 205
• GCD of 202, 879, 472, 593
• GCD of 641, 142, 137, 934

Given numbers are 507, 972, 540, 645
The greatest common divisor of numbers 507, 972, 540, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 972, 540, 645 is 3.

1. What is the GCD of 507, 972, 540, 645?

GCD of given numbers 507, 972, 540, 645 is 3

2. How to calculate the greatest common divisor of 507, 972, 540, 645?

We can find the highest common divisor of 507, 972, 540, 645 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, 972, 540, 645 i.e 3.

3. How can I use the GCD of 507, 972, 540, 645Calculator?

Out the numbers 507, 972, 540, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.