GCD of 580, 720, 138, 987 Calculator

Given Input numbers are 580, 720, 138, 987

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (580, 720, 138, 987) = 1.

Given numbers are 580, 720, 138, 987

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 580, 720, 138, 987

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

Apply this formula for all numbers.

Step1:

LCM(580, 720) = 20880

GCD(580, 720) = ( 580 x 720 ) / 20880

= 580 / 720

= 580

Step2:

LCM(20, 138) = 1380

GCD(20, 138) = ( 20 x 138 ) / 1380

= 20 / 138

= 20

Step3:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

So, Greatest Common Divisor of 580, 720, 138, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 227, 627, 291
• GCD of 254, 858, 278, 399
• GCD of 987, 872, 717, 103
• GCD of 221, 247, 853, 147
• GCD of 281, 490, 490, 825

Given numbers are 580, 720, 138, 987
The greatest common divisor of numbers 580, 720, 138, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 720, 138, 987 is 1.

1. What is the GCD of 580, 720, 138, 987?

GCD of given numbers 580, 720, 138, 987 is 1

2. How to calculate the greatest common divisor of 580, 720, 138, 987?

We can find the highest common divisor of 580, 720, 138, 987 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 580, 720, 138, 987 i.e 1.

3. How can I use the GCD of 580, 720, 138, 987Calculator?

Out the numbers 580, 720, 138, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.