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GCD of 316, 298, 821, 780 Calculator

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


Online GCD Calculator is useful to find the GCD of 316, 298, 821, 780 quickly. Get the easiest ways to solve the greatest common divisor of 316, 298, 821, 780 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 298, 821, 780 with Factoring?

Given Input numbers are 316, 298, 821, 780

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

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


GCD of numbers is the greatest common divisor

So, the GCD (316, 298, 821, 780) = 1.

Find GCD of 316, 298, 821, 780 using Prime Factorization

Given numbers are 316, 298, 821, 780

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 298 are 2 x 149

Prime factors of 821 are 821

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

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

Steps to Calculate GCD of 316, 298, 821, 780 using LCM Formula

Given numbers are 316, 298, 821, 780

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

Apply this formula for all numbers.

Step1:

LCM(316, 298) = 47084

GCD(316, 298) = ( 316 x 298 ) / 47084

= 316 / 298

= 316


Step2:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2


Step3:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1


So, Greatest Common Divisor of 316, 298, 821, 780 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 298, 821, 780

Given numbers are 316, 298, 821, 780
The greatest common divisor of numbers 316, 298, 821, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 298, 821, 780 is 1.

FAQs on GCD of 316, 298, 821, 780 Calculator

1. What is the GCD of 316, 298, 821, 780?

GCD of given numbers 316, 298, 821, 780 is 1


2. How to calculate the greatest common divisor of 316, 298, 821, 780?

We can find the highest common divisor of 316, 298, 821, 780 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 316, 298, 821, 780 i.e 1.


3. How can I use the GCD of 316, 298, 821, 780Calculator?

Out the numbers 316, 298, 821, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.