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GCD of 961, 982, 309, 279 Calculator

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


Online GCD Calculator is useful to find the GCD of 961, 982, 309, 279 quickly. Get the easiest ways to solve the greatest common divisor of 961, 982, 309, 279 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 961, 982, 309, 279 with Factoring?

Given Input numbers are 961, 982, 309, 279

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 982 :

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

1, 2, 491, 982

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279


GCD of numbers is the greatest common divisor

So, the GCD (961, 982, 309, 279) = 1.

Find GCD of 961, 982, 309, 279 using Prime Factorization

Given numbers are 961, 982, 309, 279

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 982 are 2 x 491

Prime factors of 309 are 3 x 103

Prime factors of 279 are 3 x 3 x 31

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

Steps to Calculate GCD of 961, 982, 309, 279 using LCM Formula

Given numbers are 961, 982, 309, 279

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

Apply this formula for all numbers.

Step1:

LCM(961, 982) = 943702

GCD(961, 982) = ( 961 x 982 ) / 943702

= 961 / 982

= 961


Step2:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1


Step3:

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

= 1 / 279

= 1


So, Greatest Common Divisor of 961, 982, 309, 279 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 961, 982, 309, 279

Given numbers are 961, 982, 309, 279
The greatest common divisor of numbers 961, 982, 309, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 982, 309, 279 is 1.

FAQs on GCD of 961, 982, 309, 279 Calculator

1. What is the GCD of 961, 982, 309, 279?

GCD of given numbers 961, 982, 309, 279 is 1


2. How to calculate the greatest common divisor of 961, 982, 309, 279?

We can find the highest common divisor of 961, 982, 309, 279 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 961, 982, 309, 279 i.e 1.


3. How can I use the GCD of 961, 982, 309, 279Calculator?

Out the numbers 961, 982, 309, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.