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GCD of 125, 175, 189, 117 Calculator

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


Online GCD Calculator is useful to find the GCD of 125, 175, 189, 117 quickly. Get the easiest ways to solve the greatest common divisor of 125, 175, 189, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 125, 175, 189, 117 with Factoring?

Given Input numbers are 125, 175, 189, 117

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 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (125, 175, 189, 117) = 1.

Find GCD of 125, 175, 189, 117 using Prime Factorization

Given numbers are 125, 175, 189, 117

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 175 are 5 x 5 x 7

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 125, 175, 189, 117 using LCM Formula

Given numbers are 125, 175, 189, 117

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

Apply this formula for all numbers.

Step1:

LCM(125, 175) = 875

GCD(125, 175) = ( 125 x 175 ) / 875

= 125 / 175

= 125


Step2:

LCM(25, 189) = 4725

GCD(25, 189) = ( 25 x 189 ) / 4725

= 25 / 189

= 25


Step3:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1


So, Greatest Common Divisor of 125, 175, 189, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 125, 175, 189, 117

Given numbers are 125, 175, 189, 117
The greatest common divisor of numbers 125, 175, 189, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 175, 189, 117 is 1.

FAQs on GCD of 125, 175, 189, 117 Calculator

1. What is the GCD of 125, 175, 189, 117?

GCD of given numbers 125, 175, 189, 117 is 1


2. How to calculate the greatest common divisor of 125, 175, 189, 117?

We can find the highest common divisor of 125, 175, 189, 117 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, 175, 189, 117 i.e 1.


3. How can I use the GCD of 125, 175, 189, 117Calculator?

Out the numbers 125, 175, 189, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.