GCD of 654, 775, 238, 760 Calculator

Given Input numbers are 654, 775, 238, 760

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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

Greatest Common Divisior

We found the divisors of 654, 775, 238, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 775, 238, 760 is 1.

Therefore, GCD of numbers 654, 775, 238, 760 is 1

Given Input Data is 654, 775, 238, 760

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 238 is 2 x 7 x 17

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

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(654, 775) = 506850

GCD(654, 775) = ( 654 x 775 ) / 506850

GCD(654, 775) = 506850 / 506850

GCD(654, 775) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 654, 775, 238, 760 is 1

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1. What is the GCD of 654, 775, 238, 760?

GCD of 654, 775, 238, 760 is 1

2. Where do I get the detailed procedure to find GCD of 654, 775, 238, 760?

You can find a detailed procedure to find GCD of 654, 775, 238, 760 on our page.

3. How to find GCD of 654, 775, 238, 760 on a calculator?

You can find the GCD of 654, 775, 238, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.