GCD of 780, 674, 57, 878 Calculator

Given Input numbers are 780, 674, 57, 878

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 780, 674, 57, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 674, 57, 878 is 1.

Therefore, GCD of numbers 780, 674, 57, 878 is 1

Given Input Data is 780, 674, 57, 878

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 674 is 2 x 337

Prime Factorization of 57 is 3 x 19

Prime Factorization of 878 is 2 x 439

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(780, 674) = 262860

GCD(780, 674) = ( 780 x 674 ) / 262860

GCD(780, 674) = 525720 / 262860

GCD(780, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 780, 674, 57, 878 is 1

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1. What is the GCD of 780, 674, 57, 878?

GCD of 780, 674, 57, 878 is 1

2. Where do I get the detailed procedure to find GCD of 780, 674, 57, 878?

You can find a detailed procedure to find GCD of 780, 674, 57, 878 on our page.

3. How to find GCD of 780, 674, 57, 878 on a calculator?

You can find the GCD of 780, 674, 57, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.