GCD of 252, 644, 870, 374 Calculator

Given Input numbers are 252, 644, 870, 374

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 644 :

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

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (252, 644, 870, 374) = 2.

Given numbers are 252, 644, 870, 374

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 644 are 2 x 2 x 7 x 23

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 252, 644, 870, 374 is 2.

Given numbers are 252, 644, 870, 374

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

Apply this formula for all numbers.

Step1:

LCM(252, 644) = 5796

GCD(252, 644) = ( 252 x 644 ) / 5796

= 252 / 644

= 252

Step2:

LCM(28, 870) = 12180

GCD(28, 870) = ( 28 x 870 ) / 12180

= 28 / 870

= 28

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 252, 644, 870, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 127, 856, 516
• GCD of 391, 575, 279, 366
• GCD of 412, 614, 875, 340
• GCD of 498, 281, 823, 655
• GCD of 238, 826, 143, 349

Given numbers are 252, 644, 870, 374
The greatest common divisor of numbers 252, 644, 870, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 644, 870, 374 is 2.

1. What is the GCD of 252, 644, 870, 374?

GCD of given numbers 252, 644, 870, 374 is 2

2. How to calculate the greatest common divisor of 252, 644, 870, 374?

We can find the highest common divisor of 252, 644, 870, 374 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, 644, 870, 374 i.e 2.

3. How can I use the GCD of 252, 644, 870, 374Calculator?

Out the numbers 252, 644, 870, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.