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 972, 346, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 346, 995 is 1
GCD(972, 346, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 346, 995 is 1
GCD(972, 346, 995) = 1
Given Input numbers are 972, 346, 995
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 972, 346, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 346, 995 is 1.
Therefore, GCD of numbers 972, 346, 995 is 1
Given Input Data is 972, 346, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 346 is 2 x 173
Prime Factorization of 995 is 5 x 199
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(972, 346) = 168156
GCD(972, 346) = ( 972 x 346 ) / 168156
GCD(972, 346) = 336312 / 168156
GCD(972, 346) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 995) = 1990
GCD(2, 995) = ( 2 x 995 ) / 1990
GCD(2, 995) = 1990 / 1990
GCD(2, 995) = 1
GCD of 972, 346, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 346, 995?
GCD of 972, 346, 995 is 1
2. Where do I get the detailed procedure to find GCD of 972, 346, 995?
You can find a detailed procedure to find GCD of 972, 346, 995 on our page.
3. How to find GCD of 972, 346, 995 on a calculator?
You can find the GCD of 972, 346, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.