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GCD of 491, 780, 915, 980 Calculator

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


Online GCD Calculator is useful to find the GCD of 491, 780, 915, 980 quickly. Get the easiest ways to solve the greatest common divisor of 491, 780, 915, 980 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 491, 780, 915, 980 with Factoring?

Given Input numbers are 491, 780, 915, 980

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

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 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

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


GCD of numbers is the greatest common divisor

So, the GCD (491, 780, 915, 980) = 1.

Find GCD of 491, 780, 915, 980 using Prime Factorization

Given numbers are 491, 780, 915, 980

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 915 are 3 x 5 x 61

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

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

Steps to Calculate GCD of 491, 780, 915, 980 using LCM Formula

Given numbers are 491, 780, 915, 980

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

Apply this formula for all numbers.

Step1:

LCM(491, 780) = 382980

GCD(491, 780) = ( 491 x 780 ) / 382980

= 491 / 780

= 491


Step2:

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

= 1 / 915

= 1


Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1


So, Greatest Common Divisor of 491, 780, 915, 980 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 491, 780, 915, 980

Given numbers are 491, 780, 915, 980
The greatest common divisor of numbers 491, 780, 915, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 780, 915, 980 is 1.

FAQs on GCD of 491, 780, 915, 980 Calculator

1. What is the GCD of 491, 780, 915, 980?

GCD of given numbers 491, 780, 915, 980 is 1


2. How to calculate the greatest common divisor of 491, 780, 915, 980?

We can find the highest common divisor of 491, 780, 915, 980 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 491, 780, 915, 980 i.e 1.


3. How can I use the GCD of 491, 780, 915, 980Calculator?

Out the numbers 491, 780, 915, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.