GCD of 524, 684, 116 Calculator

Given Input numbers are 524, 684, 116

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (524, 684, 116) = 4.

Given numbers are 524, 684, 116

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

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

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 524, 684, 116 is 4.

Given numbers are 524, 684, 116

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

Apply this formula for all numbers.

Step1:

LCM(524, 684) = 89604

GCD(524, 684) = ( 524 x 684 ) / 89604

= 524 / 684

= 524

Step2:

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

= 4 / 116

= 4

So, Greatest Common Divisor of 524, 684, 116 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 914, 643
• GCD of 410, 580, 155
• GCD of 188, 316, 373
• GCD of 111, 673, 961
• GCD of 457, 560, 129

Given numbers are 524, 684, 116
The greatest common divisor of numbers 524, 684, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 684, 116 is 4.

1. What is the GCD of 524, 684, 116?

GCD of given numbers 524, 684, 116 is 4

2. How to calculate the greatest common divisor of 524, 684, 116?

We can find the highest common divisor of 524, 684, 116 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 524, 684, 116 i.e 4.

3. How can I use the GCD of 524, 684, 116Calculator?

Out the numbers 524, 684, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.