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GCD of 119, 269, 982, 677 Calculator

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


Online GCD Calculator is useful to find the GCD of 119, 269, 982, 677 quickly. Get the easiest ways to solve the greatest common divisor of 119, 269, 982, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 119, 269, 982, 677 with Factoring?

Given Input numbers are 119, 269, 982, 677

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

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (119, 269, 982, 677) = 1.

Find GCD of 119, 269, 982, 677 using Prime Factorization

Given numbers are 119, 269, 982, 677

The list of prime factors of all numbers are

Prime factors of 119 are 7 x 17

Prime factors of 269 are 269

Prime factors of 982 are 2 x 491

Prime factors of 677 are 677

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

Steps to Calculate GCD of 119, 269, 982, 677 using LCM Formula

Given numbers are 119, 269, 982, 677

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

Apply this formula for all numbers.

Step1:

LCM(119, 269) = 32011

GCD(119, 269) = ( 119 x 269 ) / 32011

= 119 / 269

= 119


Step2:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1


Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


So, Greatest Common Divisor of 119, 269, 982, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 119, 269, 982, 677

Given numbers are 119, 269, 982, 677
The greatest common divisor of numbers 119, 269, 982, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 269, 982, 677 is 1.

FAQs on GCD of 119, 269, 982, 677 Calculator

1. What is the GCD of 119, 269, 982, 677?

GCD of given numbers 119, 269, 982, 677 is 1


2. How to calculate the greatest common divisor of 119, 269, 982, 677?

We can find the highest common divisor of 119, 269, 982, 677 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 119, 269, 982, 677 i.e 1.


3. How can I use the GCD of 119, 269, 982, 677Calculator?

Out the numbers 119, 269, 982, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.