GCD of 116, 636, 744, 524 Calculator

Given Input numbers are 116, 636, 744, 524

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

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 524 :

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

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (116, 636, 744, 524) = 4.

Given numbers are 116, 636, 744, 524

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2²

Therefore, GCD of 116, 636, 744, 524 is 4.

Given numbers are 116, 636, 744, 524

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

Apply this formula for all numbers.

Step1:

LCM(116, 636) = 18444

GCD(116, 636) = ( 116 x 636 ) / 18444

= 116 / 636

= 116

Step2:

LCM(4, 744) = 744

GCD(4, 744) = ( 4 x 744 ) / 744

= 4 / 744

= 4

Step3:

LCM(4, 524) = 524

GCD(4, 524) = ( 4 x 524 ) / 524

= 4 / 524

= 4

So, Greatest Common Divisor of 116, 636, 744, 524 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 771, 227, 579
• GCD of 326, 526, 866, 508
• GCD of 834, 985, 276, 985
• GCD of 341, 278, 993, 587
• GCD of 442, 105, 645, 668

Given numbers are 116, 636, 744, 524
The greatest common divisor of numbers 116, 636, 744, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 636, 744, 524 is 4.

1. What is the GCD of 116, 636, 744, 524?

GCD of given numbers 116, 636, 744, 524 is 4

2. How to calculate the greatest common divisor of 116, 636, 744, 524?

We can find the highest common divisor of 116, 636, 744, 524 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 116, 636, 744, 524 i.e 4.

3. How can I use the GCD of 116, 636, 744, 524Calculator?

Out the numbers 116, 636, 744, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.