GCD of 119, 975, 625, 120 Calculator

Given Input numbers are 119, 975, 625, 120

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

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

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

GCD of numbers is the greatest common divisor

So, the GCD (119, 975, 625, 120) = 1.

Given numbers are 119, 975, 625, 120

The list of prime factors of all numbers are

Prime factors of 119 are 7 x 17

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 625 are 5 x 5 x 5 x 5

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

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

Given numbers are 119, 975, 625, 120

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

Apply this formula for all numbers.

Step1:

LCM(119, 975) = 116025

GCD(119, 975) = ( 119 x 975 ) / 116025

= 119 / 975

= 119

Step2:

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

= 1 / 625

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 119, 975, 625, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 798, 998, 369
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Given numbers are 119, 975, 625, 120
The greatest common divisor of numbers 119, 975, 625, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 975, 625, 120 is 1.

1. What is the GCD of 119, 975, 625, 120?

GCD of given numbers 119, 975, 625, 120 is 1

2. How to calculate the greatest common divisor of 119, 975, 625, 120?

We can find the highest common divisor of 119, 975, 625, 120 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 119, 975, 625, 120 i.e 1.

3. How can I use the GCD of 119, 975, 625, 120Calculator?

Out the numbers 119, 975, 625, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.