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GCD of 600, 747, 528, 316 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, 747, 528, 316 quickly. Get the easiest ways to solve the greatest common divisor of 600, 747, 528, 316 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 747, 528, 316 with Factoring?

Given Input numbers are 600, 747, 528, 316

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316


GCD of numbers is the greatest common divisor

So, the GCD (600, 747, 528, 316) = 1.

Find GCD of 600, 747, 528, 316 using Prime Factorization

Given numbers are 600, 747, 528, 316

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 747 are 3 x 3 x 83

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 316 are 2 x 2 x 79

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

Steps to Calculate GCD of 600, 747, 528, 316 using LCM Formula

Given numbers are 600, 747, 528, 316

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

Apply this formula for all numbers.

Step1:

LCM(600, 747) = 149400

GCD(600, 747) = ( 600 x 747 ) / 149400

= 600 / 747

= 600


Step2:

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

= 3 / 528

= 3


Step3:

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

= 3 / 316

= 3


So, Greatest Common Divisor of 600, 747, 528, 316 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 747, 528, 316

Given numbers are 600, 747, 528, 316
The greatest common divisor of numbers 600, 747, 528, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 747, 528, 316 is 1.

FAQs on GCD of 600, 747, 528, 316 Calculator

1. What is the GCD of 600, 747, 528, 316?

GCD of given numbers 600, 747, 528, 316 is 1


2. How to calculate the greatest common divisor of 600, 747, 528, 316?

We can find the highest common divisor of 600, 747, 528, 316 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, 747, 528, 316 i.e 1.


3. How can I use the GCD of 600, 747, 528, 316Calculator?

Out the numbers 600, 747, 528, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.