GCD of 516, 780, 944, 364 Calculator

Given Input numbers are 516, 780, 944, 364

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (516, 780, 944, 364) = 4.

Given numbers are 516, 780, 944, 364

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2²

Therefore, GCD of 516, 780, 944, 364 is 4.

Given numbers are 516, 780, 944, 364

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

Apply this formula for all numbers.

Step1:

LCM(516, 780) = 33540

GCD(516, 780) = ( 516 x 780 ) / 33540

= 516 / 780

= 516

Step2:

LCM(12, 944) = 2832

GCD(12, 944) = ( 12 x 944 ) / 2832

= 12 / 944

= 12

Step3:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4

So, Greatest Common Divisor of 516, 780, 944, 364 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 443, 881, 994
• GCD of 849, 320, 528, 772
• GCD of 872, 873, 324, 604
• GCD of 500, 271, 307, 767
• GCD of 440, 685, 654, 184

Given numbers are 516, 780, 944, 364
The greatest common divisor of numbers 516, 780, 944, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 780, 944, 364 is 4.

1. What is the GCD of 516, 780, 944, 364?

GCD of given numbers 516, 780, 944, 364 is 4

2. How to calculate the greatest common divisor of 516, 780, 944, 364?

We can find the highest common divisor of 516, 780, 944, 364 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 516, 780, 944, 364 i.e 4.

3. How can I use the GCD of 516, 780, 944, 364Calculator?

Out the numbers 516, 780, 944, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.