GCD of 252, 814, 876, 644 Calculator

Given Input numbers are 252, 814, 876, 644

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

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 (252, 814, 876, 644) = 2.

Given numbers are 252, 814, 876, 644

The list of prime factors of all numbers are

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

Prime factors of 814 are 2 x 11 x 37

Prime factors of 876 are 2 x 2 x 3 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 252, 814, 876, 644 is 2.

Given numbers are 252, 814, 876, 644

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

Apply this formula for all numbers.

Step1:

LCM(252, 814) = 102564

GCD(252, 814) = ( 252 x 814 ) / 102564

= 252 / 814

= 252

Step2:

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

= 2 / 876

= 2

Step3:

LCM(2, 644) = 644

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

= 2 / 644

= 2

So, Greatest Common Divisor of 252, 814, 876, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 389, 989, 567
• GCD of 211, 690, 171, 887
• GCD of 128, 580, 491, 482
• GCD of 844, 946, 864, 792
• GCD of 263, 327, 489, 290

Given numbers are 252, 814, 876, 644
The greatest common divisor of numbers 252, 814, 876, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 814, 876, 644 is 2.

1. What is the GCD of 252, 814, 876, 644?

GCD of given numbers 252, 814, 876, 644 is 2

2. How to calculate the greatest common divisor of 252, 814, 876, 644?

We can find the highest common divisor of 252, 814, 876, 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 252, 814, 876, 644 i.e 2.

3. How can I use the GCD of 252, 814, 876, 644Calculator?

Out the numbers 252, 814, 876, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.