GCD of 538, 664, 252, 644 Calculator

Given Input numbers are 538, 664, 252, 644

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (538, 664, 252, 644) = 2.

Given numbers are 538, 664, 252, 644

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 538, 664, 252, 644 is 2.

Given numbers are 538, 664, 252, 644

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

Apply this formula for all numbers.

Step1:

LCM(538, 664) = 178616

GCD(538, 664) = ( 538 x 664 ) / 178616

= 538 / 664

= 538

Step2:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

Step3:

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

= 2 / 644

= 2

So, Greatest Common Divisor of 538, 664, 252, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 590, 753, 508
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Given numbers are 538, 664, 252, 644
The greatest common divisor of numbers 538, 664, 252, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 664, 252, 644 is 2.

1. What is the GCD of 538, 664, 252, 644?

GCD of given numbers 538, 664, 252, 644 is 2

2. How to calculate the greatest common divisor of 538, 664, 252, 644?

We can find the highest common divisor of 538, 664, 252, 644 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 538, 664, 252, 644 i.e 2.

3. How can I use the GCD of 538, 664, 252, 644Calculator?

Out the numbers 538, 664, 252, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.