GCD of 502, 628, 284, 968 Calculator

Given Input numbers are 502, 628, 284, 968

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

GCD of numbers is the greatest common divisor

So, the GCD (502, 628, 284, 968) = 2.

Given numbers are 502, 628, 284, 968

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 628 are 2 x 2 x 157

Prime factors of 284 are 2 x 2 x 71

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 502, 628, 284, 968 is 2.

Given numbers are 502, 628, 284, 968

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

Apply this formula for all numbers.

Step1:

LCM(502, 628) = 157628

GCD(502, 628) = ( 502 x 628 ) / 157628

= 502 / 628

= 502

Step2:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

Step3:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

So, Greatest Common Divisor of 502, 628, 284, 968 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 600, 985, 657
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Given numbers are 502, 628, 284, 968
The greatest common divisor of numbers 502, 628, 284, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 628, 284, 968 is 2.

1. What is the GCD of 502, 628, 284, 968?

GCD of given numbers 502, 628, 284, 968 is 2

2. How to calculate the greatest common divisor of 502, 628, 284, 968?

We can find the highest common divisor of 502, 628, 284, 968 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, 628, 284, 968 i.e 2.

3. How can I use the GCD of 502, 628, 284, 968Calculator?

Out the numbers 502, 628, 284, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.