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GCD of 965, 980, 828, 113 Calculator

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


Online GCD Calculator is useful to find the GCD of 965, 980, 828, 113 quickly. Get the easiest ways to solve the greatest common divisor of 965, 980, 828, 113 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 965, 980, 828, 113 with Factoring?

Given Input numbers are 965, 980, 828, 113

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

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113


GCD of numbers is the greatest common divisor

So, the GCD (965, 980, 828, 113) = 1.

Find GCD of 965, 980, 828, 113 using Prime Factorization

Given numbers are 965, 980, 828, 113

The list of prime factors of all numbers are

Prime factors of 965 are 5 x 193

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 113 are 113

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

Steps to Calculate GCD of 965, 980, 828, 113 using LCM Formula

Given numbers are 965, 980, 828, 113

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

Apply this formula for all numbers.

Step1:

LCM(965, 980) = 189140

GCD(965, 980) = ( 965 x 980 ) / 189140

= 965 / 980

= 965


Step2:

LCM(5, 828) = 4140

GCD(5, 828) = ( 5 x 828 ) / 4140

= 5 / 828

= 5


Step3:

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

= 1 / 113

= 1


So, Greatest Common Divisor of 965, 980, 828, 113 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 965, 980, 828, 113

Given numbers are 965, 980, 828, 113
The greatest common divisor of numbers 965, 980, 828, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 980, 828, 113 is 1.

FAQs on GCD of 965, 980, 828, 113 Calculator

1. What is the GCD of 965, 980, 828, 113?

GCD of given numbers 965, 980, 828, 113 is 1


2. How to calculate the greatest common divisor of 965, 980, 828, 113?

We can find the highest common divisor of 965, 980, 828, 113 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 965, 980, 828, 113 i.e 1.


3. How can I use the GCD of 965, 980, 828, 113Calculator?

Out the numbers 965, 980, 828, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.