GCD of 502, 712, 764, 312 Calculator

Given Input numbers are 502, 712, 764, 312

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

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (502, 712, 764, 312) = 2.

Given numbers are 502, 712, 764, 312

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 764 are 2 x 2 x 191

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 502, 712, 764, 312 is 2.

Given numbers are 502, 712, 764, 312

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

Apply this formula for all numbers.

Step1:

LCM(502, 712) = 178712

GCD(502, 712) = ( 502 x 712 ) / 178712

= 502 / 712

= 502

Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 502, 712, 764, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 695, 415, 136
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• GCD of 832, 469, 590, 149

Given numbers are 502, 712, 764, 312
The greatest common divisor of numbers 502, 712, 764, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 712, 764, 312 is 2.

1. What is the GCD of 502, 712, 764, 312?

GCD of given numbers 502, 712, 764, 312 is 2

2. How to calculate the greatest common divisor of 502, 712, 764, 312?

We can find the highest common divisor of 502, 712, 764, 312 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 502, 712, 764, 312 i.e 2.

3. How can I use the GCD of 502, 712, 764, 312Calculator?

Out the numbers 502, 712, 764, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.