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GCD of 120, 955, 95 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 120, 955, 95 quickly. Get the easiest ways to solve the greatest common divisor of 120, 955, 95 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 955, 95 with Factoring?

Given Input numbers are 120, 955, 95

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

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 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955

Divisors of 95 :

The positive integer divisors of 95 that completely divides 95 are.

1, 5, 19, 95


GCD of numbers is the greatest common divisor

So, the GCD (120, 955, 95) = 5.

Find GCD of 120, 955, 95 using Prime Factorization

Given numbers are 120, 955, 95

The list of prime factors of all numbers are

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

Prime factors of 955 are 5 x 191

Prime factors of 95 are 5 x 19

The highest common occurrence is 51

Therefore, GCD of 120, 955, 95 is 5.

Steps to Calculate GCD of 120, 955, 95 using LCM Formula

Given numbers are 120, 955, 95

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

Apply this formula for all numbers.

Step1:

LCM(120, 955) = 22920

GCD(120, 955) = ( 120 x 955 ) / 22920

= 120 / 955

= 120


Step2:

LCM(5, 95) = 95

GCD(5, 95) = ( 5 x 95 ) / 95

= 5 / 95

= 5


So, Greatest Common Divisor of 120, 955, 95 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 955, 95

Given numbers are 120, 955, 95
The greatest common divisor of numbers 120, 955, 95 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 955, 95 is 5.

FAQs on GCD of 120, 955, 95 Calculator

1. What is the GCD of 120, 955, 95?

GCD of given numbers 120, 955, 95 is 5


2. How to calculate the greatest common divisor of 120, 955, 95?

We can find the highest common divisor of 120, 955, 95 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 120, 955, 95 i.e 5.


3. How can I use the GCD of 120, 955, 95Calculator?

Out the numbers 120, 955, 95 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.