GCD of 879, 762, 307, 454 Calculator

Given Input numbers are 879, 762, 307, 454

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

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 879, 762, 307, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 762, 307, 454 is 1.

Therefore, GCD of numbers 879, 762, 307, 454 is 1

Given Input Data is 879, 762, 307, 454

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 307 is 307

Prime Factorization of 454 is 2 x 227

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(879, 762) = 223266

GCD(879, 762) = ( 879 x 762 ) / 223266

GCD(879, 762) = 669798 / 223266

GCD(879, 762) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 307

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

LCM(3, 307) = 921

GCD(3, 307) = ( 3 x 307 ) / 921

GCD(3, 307) = 921 / 921

GCD(3, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 879, 762, 307, 454 is 1

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1. What is the GCD of 879, 762, 307, 454?

GCD of 879, 762, 307, 454 is 1

2. Where do I get the detailed procedure to find GCD of 879, 762, 307, 454?

You can find a detailed procedure to find GCD of 879, 762, 307, 454 on our page.

3. How to find GCD of 879, 762, 307, 454 on a calculator?

You can find the GCD of 879, 762, 307, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.