GCD of 760, 775, 724, 867 Calculator

Given Input numbers are 760, 775, 724, 867

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 775

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

1, 5, 25, 31, 155, 775

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 760, 775, 724, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 775, 724, 867 is 1.

Therefore, GCD of numbers 760, 775, 724, 867 is 1

Given Input Data is 760, 775, 724, 867

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 775 is 5 x 5 x 31

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 867 is 3 x 17 x 17

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, 775) = 117800

GCD(760, 775) = ( 760 x 775 ) / 117800

GCD(760, 775) = 589000 / 117800

GCD(760, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 724

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

LCM(5, 724) = 3620

GCD(5, 724) = ( 5 x 724 ) / 3620

GCD(5, 724) = 3620 / 3620

GCD(5, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 760, 775, 724, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 246, 337, 735
• GCD of 281, 664, 151, 982
• GCD of 363, 725, 359, 713
• GCD of 467, 277, 766, 265
• GCD of 341, 221, 668, 659

1. What is the GCD of 760, 775, 724, 867?

GCD of 760, 775, 724, 867 is 1

2. Where do I get the detailed procedure to find GCD of 760, 775, 724, 867?

You can find a detailed procedure to find GCD of 760, 775, 724, 867 on our page.

3. How to find GCD of 760, 775, 724, 867 on a calculator?

You can find the GCD of 760, 775, 724, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.