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 962, 684, 72, 295 i.e. 1 largest integer that divides all the numbers equally.
GCD of 962, 684, 72, 295 is 1
GCD(962, 684, 72, 295) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 962, 684, 72, 295 is 1
GCD(962, 684, 72, 295) = 1
Given Input numbers are 962, 684, 72, 295
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Greatest Common Divisior
We found the divisors of 962, 684, 72, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 684, 72, 295 is 1.
Therefore, GCD of numbers 962, 684, 72, 295 is 1
Given Input Data is 962, 684, 72, 295
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 295 is 5 x 59
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(962, 684) = 329004
GCD(962, 684) = ( 962 x 684 ) / 329004
GCD(962, 684) = 658008 / 329004
GCD(962, 684) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 295) = 590
GCD(2, 295) = ( 2 x 295 ) / 590
GCD(2, 295) = 590 / 590
GCD(2, 295) = 1
GCD of 962, 684, 72, 295 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 962, 684, 72, 295?
GCD of 962, 684, 72, 295 is 1
2. Where do I get the detailed procedure to find GCD of 962, 684, 72, 295?
You can find a detailed procedure to find GCD of 962, 684, 72, 295 on our page.
3. How to find GCD of 962, 684, 72, 295 on a calculator?
You can find the GCD of 962, 684, 72, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.