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GCD of 980, 530, 365 Calculator

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


Online GCD Calculator is useful to find the GCD of 980, 530, 365 quickly. Get the easiest ways to solve the greatest common divisor of 980, 530, 365 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 530, 365 with Factoring?

Given Input numbers are 980, 530, 365

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

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365


GCD of numbers is the greatest common divisor

So, the GCD (980, 530, 365) = 5.

Find GCD of 980, 530, 365 using Prime Factorization

Given numbers are 980, 530, 365

The list of prime factors of all numbers are

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

Prime factors of 530 are 2 x 5 x 53

Prime factors of 365 are 5 x 73

The highest common occurrence is 51

Therefore, GCD of 980, 530, 365 is 5.

Steps to Calculate GCD of 980, 530, 365 using LCM Formula

Given numbers are 980, 530, 365

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

Apply this formula for all numbers.

Step1:

LCM(980, 530) = 51940

GCD(980, 530) = ( 980 x 530 ) / 51940

= 980 / 530

= 980


Step2:

LCM(10, 365) = 730

GCD(10, 365) = ( 10 x 365 ) / 730

= 10 / 365

= 10


So, Greatest Common Divisor of 980, 530, 365 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 530, 365

Given numbers are 980, 530, 365
The greatest common divisor of numbers 980, 530, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 530, 365 is 5.

FAQs on GCD of 980, 530, 365 Calculator

1. What is the GCD of 980, 530, 365?

GCD of given numbers 980, 530, 365 is 5


2. How to calculate the greatest common divisor of 980, 530, 365?

We can find the highest common divisor of 980, 530, 365 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 980, 530, 365 i.e 5.


3. How can I use the GCD of 980, 530, 365Calculator?

Out the numbers 980, 530, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.