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, 116, 57, 612 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 116, 57, 612 is 1
GCD(154, 116, 57, 612) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 116, 57, 612 is 1
GCD(154, 116, 57, 612) = 1
Given Input numbers are 154, 116, 57, 612
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 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 154, 116, 57, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 116, 57, 612 is 1.
Therefore, GCD of numbers 154, 116, 57, 612 is 1
Given Input Data is 154, 116, 57, 612
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 116 is 2 x 2 x 29
Prime Factorization of 57 is 3 x 19
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
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, 116) = 8932
GCD(154, 116) = ( 154 x 116 ) / 8932
GCD(154, 116) = 17864 / 8932
GCD(154, 116) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
GCD of 154, 116, 57, 612 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 116, 57, 612?
GCD of 154, 116, 57, 612 is 1
2. Where do I get the detailed procedure to find GCD of 154, 116, 57, 612?
You can find a detailed procedure to find GCD of 154, 116, 57, 612 on our page.
3. How to find GCD of 154, 116, 57, 612 on a calculator?
You can find the GCD of 154, 116, 57, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.