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 26, 128, 970, 246 i.e. 2 largest integer that divides all the numbers equally.
GCD of 26, 128, 970, 246 is 2
GCD(26, 128, 970, 246) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 128, 970, 246 is 2
GCD(26, 128, 970, 246) = 2
Given Input numbers are 26, 128, 970, 246
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
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 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Greatest Common Divisior
We found the divisors of 26, 128, 970, 246 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 128, 970, 246 is 2.
Therefore, GCD of numbers 26, 128, 970, 246 is 2
Given Input Data is 26, 128, 970, 246
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 246 is 2 x 3 x 41
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(26, 128) = 1664
GCD(26, 128) = ( 26 x 128 ) / 1664
GCD(26, 128) = 3328 / 1664
GCD(26, 128) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 246
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 246) = 246
GCD(2, 246) = ( 2 x 246 ) / 246
GCD(2, 246) = 492 / 246
GCD(2, 246) = 2
GCD of 26, 128, 970, 246 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 128, 970, 246?
GCD of 26, 128, 970, 246 is 2
2. Where do I get the detailed procedure to find GCD of 26, 128, 970, 246?
You can find a detailed procedure to find GCD of 26, 128, 970, 246 on our page.
3. How to find GCD of 26, 128, 970, 246 on a calculator?
You can find the GCD of 26, 128, 970, 246 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.