GCD of 125, 120, 587, 728 Calculator

Given Input numbers are 125, 120, 587, 728

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

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (125, 120, 587, 728) = 1.

Given numbers are 125, 120, 587, 728

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 587 are 587

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 125, 120, 587, 728

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

Apply this formula for all numbers.

Step1:

LCM(125, 120) = 3000

GCD(125, 120) = ( 125 x 120 ) / 3000

= 125 / 120

= 125

Step2:

LCM(5, 587) = 2935

GCD(5, 587) = ( 5 x 587 ) / 2935

= 5 / 587

= 5

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 125, 120, 587, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 712, 853, 301
• GCD of 697, 901, 724, 655
• GCD of 614, 774, 631, 723
• GCD of 271, 810, 609, 765
• GCD of 703, 173, 231, 770

Given numbers are 125, 120, 587, 728
The greatest common divisor of numbers 125, 120, 587, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 120, 587, 728 is 1.

1. What is the GCD of 125, 120, 587, 728?

GCD of given numbers 125, 120, 587, 728 is 1

2. How to calculate the greatest common divisor of 125, 120, 587, 728?

We can find the highest common divisor of 125, 120, 587, 728 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 125, 120, 587, 728 i.e 1.

3. How can I use the GCD of 125, 120, 587, 728Calculator?

Out the numbers 125, 120, 587, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.