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GCD of 780, 987, 379, 975 Calculator

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


Online GCD Calculator is useful to find the GCD of 780, 987, 379, 975 quickly. Get the easiest ways to solve the greatest common divisor of 780, 987, 379, 975 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 987, 379, 975 with Factoring?

Given Input numbers are 780, 987, 379, 975

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

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 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975


GCD of numbers is the greatest common divisor

So, the GCD (780, 987, 379, 975) = 1.

Find GCD of 780, 987, 379, 975 using Prime Factorization

Given numbers are 780, 987, 379, 975

The list of prime factors of all numbers are

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

Prime factors of 987 are 3 x 7 x 47

Prime factors of 379 are 379

Prime factors of 975 are 3 x 5 x 5 x 13

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

Steps to Calculate GCD of 780, 987, 379, 975 using LCM Formula

Given numbers are 780, 987, 379, 975

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

Apply this formula for all numbers.

Step1:

LCM(780, 987) = 256620

GCD(780, 987) = ( 780 x 987 ) / 256620

= 780 / 987

= 780


Step2:

LCM(3, 379) = 1137

GCD(3, 379) = ( 3 x 379 ) / 1137

= 3 / 379

= 3


Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1


So, Greatest Common Divisor of 780, 987, 379, 975 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 987, 379, 975

Given numbers are 780, 987, 379, 975
The greatest common divisor of numbers 780, 987, 379, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 987, 379, 975 is 1.

FAQs on GCD of 780, 987, 379, 975 Calculator

1. What is the GCD of 780, 987, 379, 975?

GCD of given numbers 780, 987, 379, 975 is 1


2. How to calculate the greatest common divisor of 780, 987, 379, 975?

We can find the highest common divisor of 780, 987, 379, 975 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 780, 987, 379, 975 i.e 1.


3. How can I use the GCD of 780, 987, 379, 975Calculator?

Out the numbers 780, 987, 379, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.