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GCD of 122, 277, 137, 686 Calculator

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


Online GCD Calculator is useful to find the GCD of 122, 277, 137, 686 quickly. Get the easiest ways to solve the greatest common divisor of 122, 277, 137, 686 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 122, 277, 137, 686 with Factoring?

Given Input numbers are 122, 277, 137, 686

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277

Divisors of 137 :

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

1, 137

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686


GCD of numbers is the greatest common divisor

So, the GCD (122, 277, 137, 686) = 1.

Find GCD of 122, 277, 137, 686 using Prime Factorization

Given numbers are 122, 277, 137, 686

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 277 are 277

Prime factors of 137 are 137

Prime factors of 686 are 2 x 7 x 7 x 7

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

Steps to Calculate GCD of 122, 277, 137, 686 using LCM Formula

Given numbers are 122, 277, 137, 686

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

Apply this formula for all numbers.

Step1:

LCM(122, 277) = 33794

GCD(122, 277) = ( 122 x 277 ) / 33794

= 122 / 277

= 122


Step2:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1


Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1


So, Greatest Common Divisor of 122, 277, 137, 686 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 122, 277, 137, 686

Given numbers are 122, 277, 137, 686
The greatest common divisor of numbers 122, 277, 137, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 277, 137, 686 is 1.

FAQs on GCD of 122, 277, 137, 686 Calculator

1. What is the GCD of 122, 277, 137, 686?

GCD of given numbers 122, 277, 137, 686 is 1


2. How to calculate the greatest common divisor of 122, 277, 137, 686?

We can find the highest common divisor of 122, 277, 137, 686 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 122, 277, 137, 686 i.e 1.


3. How can I use the GCD of 122, 277, 137, 686Calculator?

Out the numbers 122, 277, 137, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.