GCD of 868, 400, 684, 252 Calculator

Given Input numbers are 868, 400, 684, 252

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

GCD of numbers is the greatest common divisor

So, the GCD (868, 400, 684, 252) = 4.

Given numbers are 868, 400, 684, 252

The list of prime factors of all numbers are

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

The highest common occurrence is 2²

Therefore, GCD of 868, 400, 684, 252 is 4.

Given numbers are 868, 400, 684, 252

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

Apply this formula for all numbers.

Step1:

LCM(868, 400) = 86800

GCD(868, 400) = ( 868 x 400 ) / 86800

= 868 / 400

= 868

Step2:

LCM(4, 684) = 684

GCD(4, 684) = ( 4 x 684 ) / 684

= 4 / 684

= 4

Step3:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

So, Greatest Common Divisor of 868, 400, 684, 252 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 649, 712, 748
• GCD of 610, 518, 698, 576
• GCD of 409, 305, 871, 395
• GCD of 989, 393, 189, 396
• GCD of 359, 330, 301, 948

Given numbers are 868, 400, 684, 252
The greatest common divisor of numbers 868, 400, 684, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 400, 684, 252 is 4.

1. What is the GCD of 868, 400, 684, 252?

GCD of given numbers 868, 400, 684, 252 is 4

2. How to calculate the greatest common divisor of 868, 400, 684, 252?

We can find the highest common divisor of 868, 400, 684, 252 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 868, 400, 684, 252 i.e 4.

3. How can I use the GCD of 868, 400, 684, 252Calculator?

Out the numbers 868, 400, 684, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.