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 318, 138, 657, 210 i.e. 3 largest integer that divides all the numbers equally.
GCD of 318, 138, 657, 210 is 3
GCD(318, 138, 657, 210) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 138, 657, 210 is 3
GCD(318, 138, 657, 210) = 3
Given Input numbers are 318, 138, 657, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
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 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 318, 138, 657, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 138, 657, 210 is 3.
Therefore, GCD of numbers 318, 138, 657, 210 is 3
Given Input Data is 318, 138, 657, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(318, 138) = 7314
GCD(318, 138) = ( 318 x 138 ) / 7314
GCD(318, 138) = 43884 / 7314
GCD(318, 138) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 657) = 1314
GCD(6, 657) = ( 6 x 657 ) / 1314
GCD(6, 657) = 3942 / 1314
GCD(6, 657) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 210) = 210
GCD(3, 210) = ( 3 x 210 ) / 210
GCD(3, 210) = 630 / 210
GCD(3, 210) = 3
GCD of 318, 138, 657, 210 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 138, 657, 210?
GCD of 318, 138, 657, 210 is 3
2. Where do I get the detailed procedure to find GCD of 318, 138, 657, 210?
You can find a detailed procedure to find GCD of 318, 138, 657, 210 on our page.
3. How to find GCD of 318, 138, 657, 210 on a calculator?
You can find the GCD of 318, 138, 657, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.