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 123, 952, 866, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 952, 866, 154 is 1
GCD(123, 952, 866, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 952, 866, 154 is 1
GCD(123, 952, 866, 154) = 1
Given Input numbers are 123, 952, 866, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 123, 952, 866, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 952, 866, 154 is 1.
Therefore, GCD of numbers 123, 952, 866, 154 is 1
Given Input Data is 123, 952, 866, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 866 is 2 x 433
Prime Factorization of 154 is 2 x 7 x 11
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(123, 952) = 117096
GCD(123, 952) = ( 123 x 952 ) / 117096
GCD(123, 952) = 117096 / 117096
GCD(123, 952) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 866) = 866
GCD(1, 866) = ( 1 x 866 ) / 866
GCD(1, 866) = 866 / 866
GCD(1, 866) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 123, 952, 866, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 952, 866, 154?
GCD of 123, 952, 866, 154 is 1
2. Where do I get the detailed procedure to find GCD of 123, 952, 866, 154?
You can find a detailed procedure to find GCD of 123, 952, 866, 154 on our page.
3. How to find GCD of 123, 952, 866, 154 on a calculator?
You can find the GCD of 123, 952, 866, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.