GCD of 400, 108, 679, 144 Calculator

Given Input numbers are 400, 108, 679, 144

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (400, 108, 679, 144) = 1.

Given numbers are 400, 108, 679, 144

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 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 679 are 7 x 97

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 400, 108, 679, 144

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

Apply this formula for all numbers.

Step1:

LCM(400, 108) = 10800

GCD(400, 108) = ( 400 x 108 ) / 10800

= 400 / 108

= 400

Step2:

LCM(4, 679) = 2716

GCD(4, 679) = ( 4 x 679 ) / 2716

= 4 / 679

= 4

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 400, 108, 679, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 444, 668, 285
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• GCD of 748, 456, 127, 366
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• GCD of 900, 619, 640, 629

Given numbers are 400, 108, 679, 144
The greatest common divisor of numbers 400, 108, 679, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 108, 679, 144 is 1.

1. What is the GCD of 400, 108, 679, 144?

GCD of given numbers 400, 108, 679, 144 is 1

2. How to calculate the greatest common divisor of 400, 108, 679, 144?

We can find the highest common divisor of 400, 108, 679, 144 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, 108, 679, 144 i.e 1.

3. How can I use the GCD of 400, 108, 679, 144Calculator?

Out the numbers 400, 108, 679, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.