GCD of 748, 877, 261, 275 Calculator

Given Input numbers are 748, 877, 261, 275

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 748, 877, 261, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 877, 261, 275 is 1.

Therefore, GCD of numbers 748, 877, 261, 275 is 1

Given Input Data is 748, 877, 261, 275

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 877 is 877

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 275 is 5 x 5 x 11

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(748, 877) = 655996

GCD(748, 877) = ( 748 x 877 ) / 655996

GCD(748, 877) = 655996 / 655996

GCD(748, 877) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 748, 877, 261, 275 is 1

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1. What is the GCD of 748, 877, 261, 275?

GCD of 748, 877, 261, 275 is 1

2. Where do I get the detailed procedure to find GCD of 748, 877, 261, 275?

You can find a detailed procedure to find GCD of 748, 877, 261, 275 on our page.

3. How to find GCD of 748, 877, 261, 275 on a calculator?

You can find the GCD of 748, 877, 261, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.