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GCD of 780, 856, 508, 141 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, 856, 508, 141 quickly. Get the easiest ways to solve the greatest common divisor of 780, 856, 508, 141 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 856, 508, 141 with Factoring?

Given Input numbers are 780, 856, 508, 141

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 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141


GCD of numbers is the greatest common divisor

So, the GCD (780, 856, 508, 141) = 1.

Find GCD of 780, 856, 508, 141 using Prime Factorization

Given numbers are 780, 856, 508, 141

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 856 are 2 x 2 x 2 x 107

Prime factors of 508 are 2 x 2 x 127

Prime factors of 141 are 3 x 47

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

Steps to Calculate GCD of 780, 856, 508, 141 using LCM Formula

Given numbers are 780, 856, 508, 141

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

Apply this formula for all numbers.

Step1:

LCM(780, 856) = 166920

GCD(780, 856) = ( 780 x 856 ) / 166920

= 780 / 856

= 780


Step2:

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

= 4 / 508

= 4


Step3:

LCM(4, 141) = 564

GCD(4, 141) = ( 4 x 141 ) / 564

= 4 / 141

= 4


So, Greatest Common Divisor of 780, 856, 508, 141 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 856, 508, 141

Given numbers are 780, 856, 508, 141
The greatest common divisor of numbers 780, 856, 508, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 856, 508, 141 is 1.

FAQs on GCD of 780, 856, 508, 141 Calculator

1. What is the GCD of 780, 856, 508, 141?

GCD of given numbers 780, 856, 508, 141 is 1


2. How to calculate the greatest common divisor of 780, 856, 508, 141?

We can find the highest common divisor of 780, 856, 508, 141 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, 856, 508, 141 i.e 1.


3. How can I use the GCD of 780, 856, 508, 141Calculator?

Out the numbers 780, 856, 508, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.