GCD of 420, 684, 972, 716 Calculator

Given Input numbers are 420, 684, 972, 716

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (420, 684, 972, 716) = 4.

Given numbers are 420, 684, 972, 716

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2²

Therefore, GCD of 420, 684, 972, 716 is 4.

Given numbers are 420, 684, 972, 716

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

Apply this formula for all numbers.

Step1:

LCM(420, 684) = 23940

GCD(420, 684) = ( 420 x 684 ) / 23940

= 420 / 684

= 420

Step2:

LCM(12, 972) = 972

GCD(12, 972) = ( 12 x 972 ) / 972

= 12 / 972

= 12

Step3:

LCM(12, 716) = 2148

GCD(12, 716) = ( 12 x 716 ) / 2148

= 12 / 716

= 12

So, Greatest Common Divisor of 420, 684, 972, 716 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 251, 294, 482
• GCD of 887, 403, 640, 756
• GCD of 161, 966, 195, 961
• GCD of 314, 141, 254, 635
• GCD of 258, 686, 640, 500

Given numbers are 420, 684, 972, 716
The greatest common divisor of numbers 420, 684, 972, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 684, 972, 716 is 4.

1. What is the GCD of 420, 684, 972, 716?

GCD of given numbers 420, 684, 972, 716 is 4

2. How to calculate the greatest common divisor of 420, 684, 972, 716?

We can find the highest common divisor of 420, 684, 972, 716 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 420, 684, 972, 716 i.e 4.

3. How can I use the GCD of 420, 684, 972, 716Calculator?

Out the numbers 420, 684, 972, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.