GCD of 989, 176, 26, 674 Calculator

Given Input numbers are 989, 176, 26, 674

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 674

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

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 989, 176, 26, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 176, 26, 674 is 1.

Therefore, GCD of numbers 989, 176, 26, 674 is 1

Given Input Data is 989, 176, 26, 674

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 26 is 2 x 13

Prime Factorization of 674 is 2 x 337

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(989, 176) = 174064

GCD(989, 176) = ( 989 x 176 ) / 174064

GCD(989, 176) = 174064 / 174064

GCD(989, 176) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 989, 176, 26, 674 is 1

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1. What is the GCD of 989, 176, 26, 674?

GCD of 989, 176, 26, 674 is 1

2. Where do I get the detailed procedure to find GCD of 989, 176, 26, 674?

You can find a detailed procedure to find GCD of 989, 176, 26, 674 on our page.

3. How to find GCD of 989, 176, 26, 674 on a calculator?

You can find the GCD of 989, 176, 26, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.