GCD of 564, 350, 427, 504 Calculator

Given Input numbers are 564, 350, 427, 504

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

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (564, 350, 427, 504) = 1.

Given numbers are 564, 350, 427, 504

The list of prime factors of all numbers are

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

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 427 are 7 x 61

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Given numbers are 564, 350, 427, 504

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

Apply this formula for all numbers.

Step1:

LCM(564, 350) = 98700

GCD(564, 350) = ( 564 x 350 ) / 98700

= 564 / 350

= 564

Step2:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2

Step3:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1

So, Greatest Common Divisor of 564, 350, 427, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 282, 338, 811
• GCD of 269, 910, 248, 654
• GCD of 106, 208, 100, 149
• GCD of 568, 778, 532, 577
• GCD of 760, 687, 165, 984

Given numbers are 564, 350, 427, 504
The greatest common divisor of numbers 564, 350, 427, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 350, 427, 504 is 1.

1. What is the GCD of 564, 350, 427, 504?

GCD of given numbers 564, 350, 427, 504 is 1

2. How to calculate the greatest common divisor of 564, 350, 427, 504?

We can find the highest common divisor of 564, 350, 427, 504 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 564, 350, 427, 504 i.e 1.

3. How can I use the GCD of 564, 350, 427, 504Calculator?

Out the numbers 564, 350, 427, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.