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GCD of 780, 740, 677, 600 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, 740, 677, 600 quickly. Get the easiest ways to solve the greatest common divisor of 780, 740, 677, 600 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 740, 677, 600 with Factoring?

Given Input numbers are 780, 740, 677, 600

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 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600


GCD of numbers is the greatest common divisor

So, the GCD (780, 740, 677, 600) = 1.

Find GCD of 780, 740, 677, 600 using Prime Factorization

Given numbers are 780, 740, 677, 600

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 740 are 2 x 2 x 5 x 37

Prime factors of 677 are 677

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Steps to Calculate GCD of 780, 740, 677, 600 using LCM Formula

Given numbers are 780, 740, 677, 600

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

Apply this formula for all numbers.

Step1:

LCM(780, 740) = 28860

GCD(780, 740) = ( 780 x 740 ) / 28860

= 780 / 740

= 780


Step2:

LCM(20, 677) = 13540

GCD(20, 677) = ( 20 x 677 ) / 13540

= 20 / 677

= 20


Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1


So, Greatest Common Divisor of 780, 740, 677, 600 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 740, 677, 600

Given numbers are 780, 740, 677, 600
The greatest common divisor of numbers 780, 740, 677, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 740, 677, 600 is 1.

FAQs on GCD of 780, 740, 677, 600 Calculator

1. What is the GCD of 780, 740, 677, 600?

GCD of given numbers 780, 740, 677, 600 is 1


2. How to calculate the greatest common divisor of 780, 740, 677, 600?

We can find the highest common divisor of 780, 740, 677, 600 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, 740, 677, 600 i.e 1.


3. How can I use the GCD of 780, 740, 677, 600Calculator?

Out the numbers 780, 740, 677, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.