GCD of 174, 975, 689, 876 Calculator

Given Input numbers are 174, 975, 689, 876

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 174, 975, 689, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 975, 689, 876 is 1.

Therefore, GCD of numbers 174, 975, 689, 876 is 1

Given Input Data is 174, 975, 689, 876

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 689 is 13 x 53

Prime Factorization of 876 is 2 x 2 x 3 x 73

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(174, 975) = 56550

GCD(174, 975) = ( 174 x 975 ) / 56550

GCD(174, 975) = 169650 / 56550

GCD(174, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 689

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

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

GCD(3, 689) = 2067 / 2067

GCD(3, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 174, 975, 689, 876 is 1

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1. What is the GCD of 174, 975, 689, 876?

GCD of 174, 975, 689, 876 is 1

2. Where do I get the detailed procedure to find GCD of 174, 975, 689, 876?

You can find a detailed procedure to find GCD of 174, 975, 689, 876 on our page.

3. How to find GCD of 174, 975, 689, 876 on a calculator?

You can find the GCD of 174, 975, 689, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.