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 226, 650, 78, 970 i.e. 2 largest integer that divides all the numbers equally.
GCD of 226, 650, 78, 970 is 2
GCD(226, 650, 78, 970) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 226, 650, 78, 970 is 2
GCD(226, 650, 78, 970) = 2
Given Input numbers are 226, 650, 78, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 226, 650, 78, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 650, 78, 970 is 2.
Therefore, GCD of numbers 226, 650, 78, 970 is 2
Given Input Data is 226, 650, 78, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 226 is 2 x 113
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 970 is 2 x 5 x 97
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(226, 650) = 73450
GCD(226, 650) = ( 226 x 650 ) / 73450
GCD(226, 650) = 146900 / 73450
GCD(226, 650) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 78) = 78
GCD(2, 78) = ( 2 x 78 ) / 78
GCD(2, 78) = 156 / 78
GCD(2, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
GCD(2, 970) = 1940 / 970
GCD(2, 970) = 2
GCD of 226, 650, 78, 970 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 226, 650, 78, 970?
GCD of 226, 650, 78, 970 is 2
2. Where do I get the detailed procedure to find GCD of 226, 650, 78, 970?
You can find a detailed procedure to find GCD of 226, 650, 78, 970 on our page.
3. How to find GCD of 226, 650, 78, 970 on a calculator?
You can find the GCD of 226, 650, 78, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.