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GCD of 780, 976, 716, 720 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, 976, 716, 720 quickly. Get the easiest ways to solve the greatest common divisor of 780, 976, 716, 720 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 976, 716, 720 with Factoring?

Given Input numbers are 780, 976, 716, 720

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720


GCD of numbers is the greatest common divisor

So, the GCD (780, 976, 716, 720) = 4.

Find GCD of 780, 976, 716, 720 using Prime Factorization

Given numbers are 780, 976, 716, 720

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 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 716 are 2 x 2 x 179

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 22

Therefore, GCD of 780, 976, 716, 720 is 4.

Steps to Calculate GCD of 780, 976, 716, 720 using LCM Formula

Given numbers are 780, 976, 716, 720

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

Apply this formula for all numbers.

Step1:

LCM(780, 976) = 190320

GCD(780, 976) = ( 780 x 976 ) / 190320

= 780 / 976

= 780


Step2:

LCM(4, 716) = 716

GCD(4, 716) = ( 4 x 716 ) / 716

= 4 / 716

= 4


Step3:

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

= 4 / 720

= 4


So, Greatest Common Divisor of 780, 976, 716, 720 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 976, 716, 720

Given numbers are 780, 976, 716, 720
The greatest common divisor of numbers 780, 976, 716, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 976, 716, 720 is 4.

FAQs on GCD of 780, 976, 716, 720 Calculator

1. What is the GCD of 780, 976, 716, 720?

GCD of given numbers 780, 976, 716, 720 is 4


2. How to calculate the greatest common divisor of 780, 976, 716, 720?

We can find the highest common divisor of 780, 976, 716, 720 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, 976, 716, 720 i.e 4.


3. How can I use the GCD of 780, 976, 716, 720Calculator?

Out the numbers 780, 976, 716, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.