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, 824, 342, 932 i.e. 2 largest integer that divides all the numbers equally.
GCD of 972, 824, 342, 932 is 2
GCD(972, 824, 342, 932) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 824, 342, 932 is 2
GCD(972, 824, 342, 932) = 2
Given Input numbers are 972, 824, 342, 932
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 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 972, 824, 342, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 824, 342, 932 is 2.
Therefore, GCD of numbers 972, 824, 342, 932 is 2
Given Input Data is 972, 824, 342, 932
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 824 is 2 x 2 x 2 x 103
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 932 is 2 x 2 x 233
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 824) = 200232
GCD(972, 824) = ( 972 x 824 ) / 200232
GCD(972, 824) = 800928 / 200232
GCD(972, 824) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 342) = 684
GCD(4, 342) = ( 4 x 342 ) / 684
GCD(4, 342) = 1368 / 684
GCD(4, 342) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
GCD(2, 932) = 1864 / 932
GCD(2, 932) = 2
GCD of 972, 824, 342, 932 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 824, 342, 932?
GCD of 972, 824, 342, 932 is 2
2. Where do I get the detailed procedure to find GCD of 972, 824, 342, 932?
You can find a detailed procedure to find GCD of 972, 824, 342, 932 on our page.
3. How to find GCD of 972, 824, 342, 932 on a calculator?
You can find the GCD of 972, 824, 342, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.