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 642, 678, 570, 138 i.e. 6 largest integer that divides all the numbers equally.
GCD of 642, 678, 570, 138 is 6
GCD(642, 678, 570, 138) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 678, 570, 138 is 6
GCD(642, 678, 570, 138) = 6
Given Input numbers are 642, 678, 570, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
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 642, 678, 570, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 678, 570, 138 is 6.
Therefore, GCD of numbers 642, 678, 570, 138 is 6
Given Input Data is 642, 678, 570, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 138 is 2 x 3 x 23
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(642, 678) = 72546
GCD(642, 678) = ( 642 x 678 ) / 72546
GCD(642, 678) = 435276 / 72546
GCD(642, 678) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 570
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 570) = 570
GCD(6, 570) = ( 6 x 570 ) / 570
GCD(6, 570) = 3420 / 570
GCD(6, 570) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 138) = 138
GCD(6, 138) = ( 6 x 138 ) / 138
GCD(6, 138) = 828 / 138
GCD(6, 138) = 6
GCD of 642, 678, 570, 138 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 678, 570, 138?
GCD of 642, 678, 570, 138 is 6
2. Where do I get the detailed procedure to find GCD of 642, 678, 570, 138?
You can find a detailed procedure to find GCD of 642, 678, 570, 138 on our page.
3. How to find GCD of 642, 678, 570, 138 on a calculator?
You can find the GCD of 642, 678, 570, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.