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 100, 316, 62, 338 i.e. 2 largest integer that divides all the numbers equally.
GCD of 100, 316, 62, 338 is 2
GCD(100, 316, 62, 338) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 100, 316, 62, 338 is 2
GCD(100, 316, 62, 338) = 2
Given Input numbers are 100, 316, 62, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 100, 316, 62, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 316, 62, 338 is 2.
Therefore, GCD of numbers 100, 316, 62, 338 is 2
Given Input Data is 100, 316, 62, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 62 is 2 x 31
Prime Factorization of 338 is 2 x 13 x 13
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(100, 316) = 7900
GCD(100, 316) = ( 100 x 316 ) / 7900
GCD(100, 316) = 31600 / 7900
GCD(100, 316) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 62) = 124
GCD(4, 62) = ( 4 x 62 ) / 124
GCD(4, 62) = 248 / 124
GCD(4, 62) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
GCD(2, 338) = 676 / 338
GCD(2, 338) = 2
GCD of 100, 316, 62, 338 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 100, 316, 62, 338?
GCD of 100, 316, 62, 338 is 2
2. Where do I get the detailed procedure to find GCD of 100, 316, 62, 338?
You can find a detailed procedure to find GCD of 100, 316, 62, 338 on our page.
3. How to find GCD of 100, 316, 62, 338 on a calculator?
You can find the GCD of 100, 316, 62, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.