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GCD of 600, 477, 317, 740 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 477, 317, 740 quickly. Get the easiest ways to solve the greatest common divisor of 600, 477, 317, 740 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 477, 317, 740 with Factoring?

Given Input numbers are 600, 477, 317, 740

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

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

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


GCD of numbers is the greatest common divisor

So, the GCD (600, 477, 317, 740) = 1.

Find GCD of 600, 477, 317, 740 using Prime Factorization

Given numbers are 600, 477, 317, 740

The list of prime factors of all numbers are

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

Prime factors of 477 are 3 x 3 x 53

Prime factors of 317 are 317

Prime factors of 740 are 2 x 2 x 5 x 37

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

Steps to Calculate GCD of 600, 477, 317, 740 using LCM Formula

Given numbers are 600, 477, 317, 740

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

Apply this formula for all numbers.

Step1:

LCM(600, 477) = 95400

GCD(600, 477) = ( 600 x 477 ) / 95400

= 600 / 477

= 600


Step2:

LCM(3, 317) = 951

GCD(3, 317) = ( 3 x 317 ) / 951

= 3 / 317

= 3


Step3:

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

= 1 / 740

= 1


So, Greatest Common Divisor of 600, 477, 317, 740 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 477, 317, 740

Given numbers are 600, 477, 317, 740
The greatest common divisor of numbers 600, 477, 317, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 477, 317, 740 is 1.

FAQs on GCD of 600, 477, 317, 740 Calculator

1. What is the GCD of 600, 477, 317, 740?

GCD of given numbers 600, 477, 317, 740 is 1


2. How to calculate the greatest common divisor of 600, 477, 317, 740?

We can find the highest common divisor of 600, 477, 317, 740 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 600, 477, 317, 740 i.e 1.


3. How can I use the GCD of 600, 477, 317, 740Calculator?

Out the numbers 600, 477, 317, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.