GCD of 400, 971, 947, 564 Calculator

Given Input numbers are 400, 971, 947, 564

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

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (400, 971, 947, 564) = 1.

Given numbers are 400, 971, 947, 564

The list of prime factors of all numbers are

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

Prime factors of 971 are 971

Prime factors of 947 are 947

Prime factors of 564 are 2 x 2 x 3 x 47

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

Given numbers are 400, 971, 947, 564

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

Apply this formula for all numbers.

Step1:

LCM(400, 971) = 388400

GCD(400, 971) = ( 400 x 971 ) / 388400

= 400 / 971

= 400

Step2:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 400, 971, 947, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 858, 246, 568
• GCD of 741, 758, 266, 287
• GCD of 468, 131, 364, 430
• GCD of 386, 227, 362, 882
• GCD of 813, 749, 126, 677

Given numbers are 400, 971, 947, 564
The greatest common divisor of numbers 400, 971, 947, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 971, 947, 564 is 1.

1. What is the GCD of 400, 971, 947, 564?

GCD of given numbers 400, 971, 947, 564 is 1

2. How to calculate the greatest common divisor of 400, 971, 947, 564?

We can find the highest common divisor of 400, 971, 947, 564 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 400, 971, 947, 564 i.e 1.

3. How can I use the GCD of 400, 971, 947, 564Calculator?

Out the numbers 400, 971, 947, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.