Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 691, 251, 978, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 691, 251, 978, 421 is 1
GCD(691, 251, 978, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 691, 251, 978, 421 is 1
GCD(691, 251, 978, 421) = 1
Given Input numbers are 691, 251, 978, 421
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
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 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 691, 251, 978, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 251, 978, 421 is 1.
Therefore, GCD of numbers 691, 251, 978, 421 is 1
Given Input Data is 691, 251, 978, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 691 is 691
Prime Factorization of 251 is 251
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 421 is 421
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(691, 251) = 173441
GCD(691, 251) = ( 691 x 251 ) / 173441
GCD(691, 251) = 173441 / 173441
GCD(691, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 691, 251, 978, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 691, 251, 978, 421?
GCD of 691, 251, 978, 421 is 1
2. Where do I get the detailed procedure to find GCD of 691, 251, 978, 421?
You can find a detailed procedure to find GCD of 691, 251, 978, 421 on our page.
3. How to find GCD of 691, 251, 978, 421 on a calculator?
You can find the GCD of 691, 251, 978, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.