GCD of 107, 718, 504, 400 Calculator

Given Input numbers are 107, 718, 504, 400

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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

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 (107, 718, 504, 400) = 1.

Given numbers are 107, 718, 504, 400

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 718 are 2 x 359

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

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 107, 718, 504, 400

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

Apply this formula for all numbers.

Step1:

LCM(107, 718) = 76826

GCD(107, 718) = ( 107 x 718 ) / 76826

= 107 / 718

= 107

Step2:

LCM(1, 504) = 504

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

= 1 / 504

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 107, 718, 504, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 647, 560, 162
• GCD of 580, 791, 214, 404
• GCD of 963, 244, 678, 487
• GCD of 647, 286, 743, 706
• GCD of 620, 370, 844, 833

Given numbers are 107, 718, 504, 400
The greatest common divisor of numbers 107, 718, 504, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 718, 504, 400 is 1.

1. What is the GCD of 107, 718, 504, 400?

GCD of given numbers 107, 718, 504, 400 is 1

2. How to calculate the greatest common divisor of 107, 718, 504, 400?

We can find the highest common divisor of 107, 718, 504, 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 107, 718, 504, 400 i.e 1.

3. How can I use the GCD of 107, 718, 504, 400Calculator?

Out the numbers 107, 718, 504, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.