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 534, 368, 172, 138 i.e. 2 largest integer that divides all the numbers equally.
GCD of 534, 368, 172, 138 is 2
GCD(534, 368, 172, 138) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 368, 172, 138 is 2
GCD(534, 368, 172, 138) = 2
Given Input numbers are 534, 368, 172, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
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 534, 368, 172, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 368, 172, 138 is 2.
Therefore, GCD of numbers 534, 368, 172, 138 is 2
Given Input Data is 534, 368, 172, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 138 is 2 x 3 x 23
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(534, 368) = 98256
GCD(534, 368) = ( 534 x 368 ) / 98256
GCD(534, 368) = 196512 / 98256
GCD(534, 368) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
GCD(2, 172) = 344 / 172
GCD(2, 172) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
GCD(2, 138) = 276 / 138
GCD(2, 138) = 2
GCD of 534, 368, 172, 138 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 368, 172, 138?
GCD of 534, 368, 172, 138 is 2
2. Where do I get the detailed procedure to find GCD of 534, 368, 172, 138?
You can find a detailed procedure to find GCD of 534, 368, 172, 138 on our page.
3. How to find GCD of 534, 368, 172, 138 on a calculator?
You can find the GCD of 534, 368, 172, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.