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GCD of 780, 612, 320, 707 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, 612, 320, 707 quickly. Get the easiest ways to solve the greatest common divisor of 780, 612, 320, 707 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 612, 320, 707 with Factoring?

Given Input numbers are 780, 612, 320, 707

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707


GCD of numbers is the greatest common divisor

So, the GCD (780, 612, 320, 707) = 1.

Find GCD of 780, 612, 320, 707 using Prime Factorization

Given numbers are 780, 612, 320, 707

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 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 707 are 7 x 101

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

Steps to Calculate GCD of 780, 612, 320, 707 using LCM Formula

Given numbers are 780, 612, 320, 707

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

Apply this formula for all numbers.

Step1:

LCM(780, 612) = 39780

GCD(780, 612) = ( 780 x 612 ) / 39780

= 780 / 612

= 780


Step2:

LCM(12, 320) = 960

GCD(12, 320) = ( 12 x 320 ) / 960

= 12 / 320

= 12


Step3:

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

= 4 / 707

= 4


So, Greatest Common Divisor of 780, 612, 320, 707 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 612, 320, 707

Given numbers are 780, 612, 320, 707
The greatest common divisor of numbers 780, 612, 320, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 612, 320, 707 is 1.

FAQs on GCD of 780, 612, 320, 707 Calculator

1. What is the GCD of 780, 612, 320, 707?

GCD of given numbers 780, 612, 320, 707 is 1


2. How to calculate the greatest common divisor of 780, 612, 320, 707?

We can find the highest common divisor of 780, 612, 320, 707 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, 612, 320, 707 i.e 1.


3. How can I use the GCD of 780, 612, 320, 707Calculator?

Out the numbers 780, 612, 320, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.