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GCD of 137, 829, 892, 205 Calculator

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


Online GCD Calculator is useful to find the GCD of 137, 829, 892, 205 quickly. Get the easiest ways to solve the greatest common divisor of 137, 829, 892, 205 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 137, 829, 892, 205 with Factoring?

Given Input numbers are 137, 829, 892, 205

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205


GCD of numbers is the greatest common divisor

So, the GCD (137, 829, 892, 205) = 1.

Find GCD of 137, 829, 892, 205 using Prime Factorization

Given numbers are 137, 829, 892, 205

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 829 are 829

Prime factors of 892 are 2 x 2 x 223

Prime factors of 205 are 5 x 41

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

Steps to Calculate GCD of 137, 829, 892, 205 using LCM Formula

Given numbers are 137, 829, 892, 205

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

Apply this formula for all numbers.

Step1:

LCM(137, 829) = 113573

GCD(137, 829) = ( 137 x 829 ) / 113573

= 137 / 829

= 137


Step2:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1


Step3:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1


So, Greatest Common Divisor of 137, 829, 892, 205 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 137, 829, 892, 205

Given numbers are 137, 829, 892, 205
The greatest common divisor of numbers 137, 829, 892, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 829, 892, 205 is 1.

FAQs on GCD of 137, 829, 892, 205 Calculator

1. What is the GCD of 137, 829, 892, 205?

GCD of given numbers 137, 829, 892, 205 is 1


2. How to calculate the greatest common divisor of 137, 829, 892, 205?

We can find the highest common divisor of 137, 829, 892, 205 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 137, 829, 892, 205 i.e 1.


3. How can I use the GCD of 137, 829, 892, 205Calculator?

Out the numbers 137, 829, 892, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.