GCD of 317, 920, 212, 400 Calculator

Given Input numbers are 317, 920, 212, 400

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

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

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 (317, 920, 212, 400) = 1.

Given numbers are 317, 920, 212, 400

The list of prime factors of all numbers are

Prime factors of 317 are 317

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 212 are 2 x 2 x 53

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 317, 920, 212, 400

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

Apply this formula for all numbers.

Step1:

LCM(317, 920) = 291640

GCD(317, 920) = ( 317 x 920 ) / 291640

= 317 / 920

= 317

Step2:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 317, 920, 212, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 954, 109, 707
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Given numbers are 317, 920, 212, 400
The greatest common divisor of numbers 317, 920, 212, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 920, 212, 400 is 1.

1. What is the GCD of 317, 920, 212, 400?

GCD of given numbers 317, 920, 212, 400 is 1

2. How to calculate the greatest common divisor of 317, 920, 212, 400?

We can find the highest common divisor of 317, 920, 212, 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 317, 920, 212, 400 i.e 1.

3. How can I use the GCD of 317, 920, 212, 400Calculator?

Out the numbers 317, 920, 212, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.