GCD of 687, 180, 365, 130 Calculator

Given Input numbers are 687, 180, 365, 130

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

Divisors of 687 :

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

1, 3, 229, 687

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 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (687, 180, 365, 130) = 1.

Given numbers are 687, 180, 365, 130

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

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

Prime factors of 365 are 5 x 73

Prime factors of 130 are 2 x 5 x 13

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

Given numbers are 687, 180, 365, 130

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

Apply this formula for all numbers.

Step1:

LCM(687, 180) = 41220

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

= 687 / 180

= 687

Step2:

LCM(3, 365) = 1095

GCD(3, 365) = ( 3 x 365 ) / 1095

= 3 / 365

= 3

Step3:

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

= 1 / 130

= 1

So, Greatest Common Divisor of 687, 180, 365, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 478, 394, 700
• GCD of 859, 746, 788, 619
• GCD of 926, 587, 906, 141
• GCD of 545, 238, 152, 548
• GCD of 878, 268, 219, 489

Given numbers are 687, 180, 365, 130
The greatest common divisor of numbers 687, 180, 365, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 180, 365, 130 is 1.

1. What is the GCD of 687, 180, 365, 130?

GCD of given numbers 687, 180, 365, 130 is 1

2. How to calculate the greatest common divisor of 687, 180, 365, 130?

We can find the highest common divisor of 687, 180, 365, 130 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 687, 180, 365, 130 i.e 1.

3. How can I use the GCD of 687, 180, 365, 130Calculator?

Out the numbers 687, 180, 365, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.