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 295, 602, 316, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 295, 602, 316, 972 is 1
GCD(295, 602, 316, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 295, 602, 316, 972 is 1
GCD(295, 602, 316, 972) = 1
Given Input numbers are 295, 602, 316, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 295, 602, 316, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 602, 316, 972 is 1.
Therefore, GCD of numbers 295, 602, 316, 972 is 1
Given Input Data is 295, 602, 316, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 295 is 5 x 59
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(295, 602) = 177590
GCD(295, 602) = ( 295 x 602 ) / 177590
GCD(295, 602) = 177590 / 177590
GCD(295, 602) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 295, 602, 316, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 295, 602, 316, 972?
GCD of 295, 602, 316, 972 is 1
2. Where do I get the detailed procedure to find GCD of 295, 602, 316, 972?
You can find a detailed procedure to find GCD of 295, 602, 316, 972 on our page.
3. How to find GCD of 295, 602, 316, 972 on a calculator?
You can find the GCD of 295, 602, 316, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.