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 172, 124, 128, 674 i.e. 2 largest integer that divides all the numbers equally.
GCD of 172, 124, 128, 674 is 2
GCD(172, 124, 128, 674) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 124, 128, 674 is 2
GCD(172, 124, 128, 674) = 2
Given Input numbers are 172, 124, 128, 674
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 172, 124, 128, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 124, 128, 674 is 2.
Therefore, GCD of numbers 172, 124, 128, 674 is 2
Given Input Data is 172, 124, 128, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 674 is 2 x 337
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(172, 124) = 5332
GCD(172, 124) = ( 172 x 124 ) / 5332
GCD(172, 124) = 21328 / 5332
GCD(172, 124) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 128) = 128
GCD(4, 128) = ( 4 x 128 ) / 128
GCD(4, 128) = 512 / 128
GCD(4, 128) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 674) = 1348
GCD(4, 674) = ( 4 x 674 ) / 1348
GCD(4, 674) = 2696 / 1348
GCD(4, 674) = 2
GCD of 172, 124, 128, 674 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 124, 128, 674?
GCD of 172, 124, 128, 674 is 2
2. Where do I get the detailed procedure to find GCD of 172, 124, 128, 674?
You can find a detailed procedure to find GCD of 172, 124, 128, 674 on our page.
3. How to find GCD of 172, 124, 128, 674 on a calculator?
You can find the GCD of 172, 124, 128, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.