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 961, 594, 140, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 594, 140, 392 is 1
GCD(961, 594, 140, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 594, 140, 392 is 1
GCD(961, 594, 140, 392) = 1
Given Input numbers are 961, 594, 140, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 961, 594, 140, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 594, 140, 392 is 1.
Therefore, GCD of numbers 961, 594, 140, 392 is 1
Given Input Data is 961, 594, 140, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(961, 594) = 570834
GCD(961, 594) = ( 961 x 594 ) / 570834
GCD(961, 594) = 570834 / 570834
GCD(961, 594) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 961, 594, 140, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 594, 140, 392?
GCD of 961, 594, 140, 392 is 1
2. Where do I get the detailed procedure to find GCD of 961, 594, 140, 392?
You can find a detailed procedure to find GCD of 961, 594, 140, 392 on our page.
3. How to find GCD of 961, 594, 140, 392 on a calculator?
You can find the GCD of 961, 594, 140, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.