GCD of 180, 687, 113, 574 Calculator

Given Input numbers are 180, 687, 113, 574

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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (180, 687, 113, 574) = 1.

Given numbers are 180, 687, 113, 574

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 687 are 3 x 229

Prime factors of 113 are 113

Prime factors of 574 are 2 x 7 x 41

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

Given numbers are 180, 687, 113, 574

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

Apply this formula for all numbers.

Step1:

LCM(180, 687) = 41220

GCD(180, 687) = ( 180 x 687 ) / 41220

= 180 / 687

= 180

Step2:

LCM(3, 113) = 339

GCD(3, 113) = ( 3 x 113 ) / 339

= 3 / 113

= 3

Step3:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1

So, Greatest Common Divisor of 180, 687, 113, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 867, 871, 853
• GCD of 810, 155, 622, 721
• GCD of 988, 476, 274, 144
• GCD of 838, 333, 728, 930
• GCD of 971, 627, 293, 765

Given numbers are 180, 687, 113, 574
The greatest common divisor of numbers 180, 687, 113, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 687, 113, 574 is 1.

1. What is the GCD of 180, 687, 113, 574?

GCD of given numbers 180, 687, 113, 574 is 1

2. How to calculate the greatest common divisor of 180, 687, 113, 574?

We can find the highest common divisor of 180, 687, 113, 574 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, 687, 113, 574 i.e 1.

3. How can I use the GCD of 180, 687, 113, 574Calculator?

Out the numbers 180, 687, 113, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.