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 154, 940, 826 i.e. 2 largest integer that divides all the numbers equally.
GCD of 154, 940, 826 is 2
GCD(154, 940, 826) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 940, 826 is 2
GCD(154, 940, 826) = 2
Given Input numbers are 154, 940, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 154, 940, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 940, 826 is 2.
Therefore, GCD of numbers 154, 940, 826 is 2
Given Input Data is 154, 940, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 826 is 2 x 7 x 59
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(154, 940) = 72380
GCD(154, 940) = ( 154 x 940 ) / 72380
GCD(154, 940) = 144760 / 72380
GCD(154, 940) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
GCD(2, 826) = 1652 / 826
GCD(2, 826) = 2
GCD of 154, 940, 826 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 940, 826?
GCD of 154, 940, 826 is 2
2. Where do I get the detailed procedure to find GCD of 154, 940, 826?
You can find a detailed procedure to find GCD of 154, 940, 826 on our page.
3. How to find GCD of 154, 940, 826 on a calculator?
You can find the GCD of 154, 940, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.