GCD of 760, 604, 375, 507 Calculator

Given Input numbers are 760, 604, 375, 507

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 760, 604, 375, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 604, 375, 507 is 1.

Therefore, GCD of numbers 760, 604, 375, 507 is 1

Given Input Data is 760, 604, 375, 507

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 507 is 3 x 13 x 13

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(760, 604) = 114760

GCD(760, 604) = ( 760 x 604 ) / 114760

GCD(760, 604) = 459040 / 114760

GCD(760, 604) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 375

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

LCM(4, 375) = 1500

GCD(4, 375) = ( 4 x 375 ) / 1500

GCD(4, 375) = 1500 / 1500

GCD(4, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 760, 604, 375, 507 is 1

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1. What is the GCD of 760, 604, 375, 507?

GCD of 760, 604, 375, 507 is 1

2. Where do I get the detailed procedure to find GCD of 760, 604, 375, 507?

You can find a detailed procedure to find GCD of 760, 604, 375, 507 on our page.

3. How to find GCD of 760, 604, 375, 507 on a calculator?

You can find the GCD of 760, 604, 375, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.