GCD of 870, 636, 260, 400 Calculator

Given Input numbers are 870, 636, 260, 400

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

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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

GCD of numbers is the greatest common divisor

So, the GCD (870, 636, 260, 400) = 2.

Given numbers are 870, 636, 260, 400

The list of prime factors of all numbers are

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

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 260 are 2 x 2 x 5 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 870, 636, 260, 400 is 2.

Given numbers are 870, 636, 260, 400

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

Apply this formula for all numbers.

Step1:

LCM(870, 636) = 92220

GCD(870, 636) = ( 870 x 636 ) / 92220

= 870 / 636

= 870

Step2:

LCM(6, 260) = 780

GCD(6, 260) = ( 6 x 260 ) / 780

= 6 / 260

= 6

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 870, 636, 260, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 810, 675, 790
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• GCD of 416, 313, 714, 796

Given numbers are 870, 636, 260, 400
The greatest common divisor of numbers 870, 636, 260, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 636, 260, 400 is 2.

1. What is the GCD of 870, 636, 260, 400?

GCD of given numbers 870, 636, 260, 400 is 2

2. How to calculate the greatest common divisor of 870, 636, 260, 400?

We can find the highest common divisor of 870, 636, 260, 400 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 870, 636, 260, 400 i.e 2.

3. How can I use the GCD of 870, 636, 260, 400Calculator?

Out the numbers 870, 636, 260, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.