GCD of 138, 972, 824 Calculator
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 138, 972, 824 i.e. 2 largest integer that divides all the numbers equally.
GCD of 138, 972, 824 is 2
GCD(138, 972, 824) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 972, 824 is 2
GCD(138, 972, 824) = 2
GCDof 138,972,824 is 2
Given Input numbers are 138, 972, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
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
Greatest Common Divisior
We found the divisors of 138, 972, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 972, 824 is 2.
Therefore, GCD of numbers 138, 972, 824 is 2
Given Input Data is 138, 972, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
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
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 138, 972, 824 using LCM Formula
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(138, 972) = 22356
GCD(138, 972) = ( 138 x 972 ) / 22356
GCD(138, 972) = 134136 / 22356
GCD(138, 972) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 824) = 2472
GCD(6, 824) = ( 6 x 824 ) / 2472
GCD(6, 824) = 4944 / 2472
GCD(6, 824) = 2
GCD of 138, 972, 824 is 2
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FAQs on GCD of numbers 138, 972, 824
1. What is the GCD of 138, 972, 824?
GCD of 138, 972, 824 is 2
2. Where do I get the detailed procedure to find GCD of 138, 972, 824?
You can find a detailed procedure to find GCD of 138, 972, 824 on our page.
3. How to find GCD of 138, 972, 824 on a calculator?
You can find the GCD of 138, 972, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.