GCD of 178, 678, 760, 879 Calculator

Given Input numbers are 178, 678, 760, 879

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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 879

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

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 178, 678, 760, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 678, 760, 879 is 1.

Therefore, GCD of numbers 178, 678, 760, 879 is 1

Given Input Data is 178, 678, 760, 879

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 678 is 2 x 3 x 113

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

Prime Factorization of 879 is 3 x 293

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(178, 678) = 60342

GCD(178, 678) = ( 178 x 678 ) / 60342

GCD(178, 678) = 120684 / 60342

GCD(178, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 879

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

LCM(2, 879) = 1758

GCD(2, 879) = ( 2 x 879 ) / 1758

GCD(2, 879) = 1758 / 1758

GCD(2, 879) = 1

GCD of 178, 678, 760, 879 is 1

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1. What is the GCD of 178, 678, 760, 879?

GCD of 178, 678, 760, 879 is 1

2. Where do I get the detailed procedure to find GCD of 178, 678, 760, 879?

You can find a detailed procedure to find GCD of 178, 678, 760, 879 on our page.

3. How to find GCD of 178, 678, 760, 879 on a calculator?

You can find the GCD of 178, 678, 760, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.