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 948, 432, 21, 138 i.e. 3 largest integer that divides all the numbers equally.
GCD of 948, 432, 21, 138 is 3
GCD(948, 432, 21, 138) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 432, 21, 138 is 3
GCD(948, 432, 21, 138) = 3
Given Input numbers are 948, 432, 21, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 948, 432, 21, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 432, 21, 138 is 3.
Therefore, GCD of numbers 948, 432, 21, 138 is 3
Given Input Data is 948, 432, 21, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 21 is 3 x 7
Prime Factorization of 138 is 2 x 3 x 23
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(948, 432) = 34128
GCD(948, 432) = ( 948 x 432 ) / 34128
GCD(948, 432) = 409536 / 34128
GCD(948, 432) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 21) = 84
GCD(12, 21) = ( 12 x 21 ) / 84
GCD(12, 21) = 252 / 84
GCD(12, 21) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 138) = 138
GCD(3, 138) = ( 3 x 138 ) / 138
GCD(3, 138) = 414 / 138
GCD(3, 138) = 3
GCD of 948, 432, 21, 138 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 432, 21, 138?
GCD of 948, 432, 21, 138 is 3
2. Where do I get the detailed procedure to find GCD of 948, 432, 21, 138?
You can find a detailed procedure to find GCD of 948, 432, 21, 138 on our page.
3. How to find GCD of 948, 432, 21, 138 on a calculator?
You can find the GCD of 948, 432, 21, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.