GCD of 507, 972, 846, 687 Calculator

Given Input numbers are 507, 972, 846, 687

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 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (507, 972, 846, 687) = 3.

Given numbers are 507, 972, 846, 687

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 846 are 2 x 3 x 3 x 47

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 507, 972, 846, 687 is 3.

Given numbers are 507, 972, 846, 687

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, 846) = 846

GCD(3, 846) = ( 3 x 846 ) / 846

= 3 / 846

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 507, 972, 846, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 745, 390, 997
• GCD of 877, 710, 258, 113
• GCD of 128, 237, 889, 847
• GCD of 459, 763, 143, 345
• GCD of 625, 724, 993, 528

Given numbers are 507, 972, 846, 687
The greatest common divisor of numbers 507, 972, 846, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 972, 846, 687 is 3.

1. What is the GCD of 507, 972, 846, 687?

GCD of given numbers 507, 972, 846, 687 is 3

2. How to calculate the greatest common divisor of 507, 972, 846, 687?

We can find the highest common divisor of 507, 972, 846, 687 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, 846, 687 i.e 3.

3. How can I use the GCD of 507, 972, 846, 687Calculator?

Out the numbers 507, 972, 846, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.