GCD of 180, 695, 107, 920 Calculator

Given Input numbers are 180, 695, 107, 920

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 107 :

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

1, 107

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

GCD of numbers is the greatest common divisor

So, the GCD (180, 695, 107, 920) = 1.

Given numbers are 180, 695, 107, 920

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 695 are 5 x 139

Prime factors of 107 are 107

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

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

Given numbers are 180, 695, 107, 920

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

Apply this formula for all numbers.

Step1:

LCM(180, 695) = 25020

GCD(180, 695) = ( 180 x 695 ) / 25020

= 180 / 695

= 180

Step2:

LCM(5, 107) = 535

GCD(5, 107) = ( 5 x 107 ) / 535

= 5 / 107

= 5

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 180, 695, 107, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 948, 581, 977
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• GCD of 807, 428, 459, 992

Given numbers are 180, 695, 107, 920
The greatest common divisor of numbers 180, 695, 107, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 695, 107, 920 is 1.

1. What is the GCD of 180, 695, 107, 920?

GCD of given numbers 180, 695, 107, 920 is 1

2. How to calculate the greatest common divisor of 180, 695, 107, 920?

We can find the highest common divisor of 180, 695, 107, 920 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 180, 695, 107, 920 i.e 1.

3. How can I use the GCD of 180, 695, 107, 920Calculator?

Out the numbers 180, 695, 107, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.