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 291, 982, 36, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 982, 36, 628 is 1
GCD(291, 982, 36, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 982, 36, 628 is 1
GCD(291, 982, 36, 628) = 1
Given Input numbers are 291, 982, 36, 628
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 291, 982, 36, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 982, 36, 628 is 1.
Therefore, GCD of numbers 291, 982, 36, 628 is 1
Given Input Data is 291, 982, 36, 628
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 982 is 2 x 491
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 628 is 2 x 2 x 157
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(291, 982) = 285762
GCD(291, 982) = ( 291 x 982 ) / 285762
GCD(291, 982) = 285762 / 285762
GCD(291, 982) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
GCD of 291, 982, 36, 628 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 982, 36, 628?
GCD of 291, 982, 36, 628 is 1
2. Where do I get the detailed procedure to find GCD of 291, 982, 36, 628?
You can find a detailed procedure to find GCD of 291, 982, 36, 628 on our page.
3. How to find GCD of 291, 982, 36, 628 on a calculator?
You can find the GCD of 291, 982, 36, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.