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GCD of 125, 692, 20 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, 692, 20 quickly. Get the easiest ways to solve the greatest common divisor of 125, 692, 20 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 125, 692, 20 with Factoring?

Given Input numbers are 125, 692, 20

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20


GCD of numbers is the greatest common divisor

So, the GCD (125, 692, 20) = 1.

Find GCD of 125, 692, 20 using Prime Factorization

Given numbers are 125, 692, 20

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 692 are 2 x 2 x 173

Prime factors of 20 are 2 x 2 x 5

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

Steps to Calculate GCD of 125, 692, 20 using LCM Formula

Given numbers are 125, 692, 20

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

Apply this formula for all numbers.

Step1:

LCM(125, 692) = 86500

GCD(125, 692) = ( 125 x 692 ) / 86500

= 125 / 692

= 125


Step2:

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

= 1 / 20

= 1


So, Greatest Common Divisor of 125, 692, 20 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 125, 692, 20

Given numbers are 125, 692, 20
The greatest common divisor of numbers 125, 692, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 692, 20 is 1.

FAQs on GCD of 125, 692, 20 Calculator

1. What is the GCD of 125, 692, 20?

GCD of given numbers 125, 692, 20 is 1


2. How to calculate the greatest common divisor of 125, 692, 20?

We can find the highest common divisor of 125, 692, 20 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, 692, 20 i.e 1.


3. How can I use the GCD of 125, 692, 20Calculator?

Out the numbers 125, 692, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.