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GCD of 980, 780, 310, 633 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, 780, 310, 633 quickly. Get the easiest ways to solve the greatest common divisor of 980, 780, 310, 633 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 780, 310, 633 with Factoring?

Given Input numbers are 980, 780, 310, 633

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633


GCD of numbers is the greatest common divisor

So, the GCD (980, 780, 310, 633) = 1.

Find GCD of 980, 780, 310, 633 using Prime Factorization

Given numbers are 980, 780, 310, 633

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 310 are 2 x 5 x 31

Prime factors of 633 are 3 x 211

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

Steps to Calculate GCD of 980, 780, 310, 633 using LCM Formula

Given numbers are 980, 780, 310, 633

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

Apply this formula for all numbers.

Step1:

LCM(980, 780) = 38220

GCD(980, 780) = ( 980 x 780 ) / 38220

= 980 / 780

= 980


Step2:

LCM(20, 310) = 620

GCD(20, 310) = ( 20 x 310 ) / 620

= 20 / 310

= 20


Step3:

LCM(10, 633) = 6330

GCD(10, 633) = ( 10 x 633 ) / 6330

= 10 / 633

= 10


So, Greatest Common Divisor of 980, 780, 310, 633 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 780, 310, 633

Given numbers are 980, 780, 310, 633
The greatest common divisor of numbers 980, 780, 310, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 780, 310, 633 is 1.

FAQs on GCD of 980, 780, 310, 633 Calculator

1. What is the GCD of 980, 780, 310, 633?

GCD of given numbers 980, 780, 310, 633 is 1


2. How to calculate the greatest common divisor of 980, 780, 310, 633?

We can find the highest common divisor of 980, 780, 310, 633 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, 780, 310, 633 i.e 1.


3. How can I use the GCD of 980, 780, 310, 633Calculator?

Out the numbers 980, 780, 310, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.