GCD of 891, 978, 93, 674 Calculator

Given Input numbers are 891, 978, 93, 674

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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 891, 978, 93, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 978, 93, 674 is 1.

Therefore, GCD of numbers 891, 978, 93, 674 is 1

Given Input Data is 891, 978, 93, 674

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 93 is 3 x 31

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(891, 978) = 290466

GCD(891, 978) = ( 891 x 978 ) / 290466

GCD(891, 978) = 871398 / 290466

GCD(891, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 93

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

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

GCD(3, 93) = 279 / 93

GCD(3, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 674

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

LCM(3, 674) = 2022

GCD(3, 674) = ( 3 x 674 ) / 2022

GCD(3, 674) = 2022 / 2022

GCD(3, 674) = 1

GCD of 891, 978, 93, 674 is 1

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1. What is the GCD of 891, 978, 93, 674?

GCD of 891, 978, 93, 674 is 1

2. Where do I get the detailed procedure to find GCD of 891, 978, 93, 674?

You can find a detailed procedure to find GCD of 891, 978, 93, 674 on our page.

3. How to find GCD of 891, 978, 93, 674 on a calculator?

You can find the GCD of 891, 978, 93, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.