GCD of 952, 654, 123 Calculator
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 952, 654, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 654, 123 is 1
GCD(952, 654, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 654, 123 is 1
GCD(952, 654, 123) = 1
GCDof 952,654,123 is 1
Given Input numbers are 952, 654, 123
To find the GCD of numbers using factoring list out all the divisors of each number
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 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 952, 654, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 654, 123 is 1.
Therefore, GCD of numbers 952, 654, 123 is 1
Given Input Data is 952, 654, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 123 is 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 952, 654, 123 using LCM Formula
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(952, 654) = 311304
GCD(952, 654) = ( 952 x 654 ) / 311304
GCD(952, 654) = 622608 / 311304
GCD(952, 654) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
GCD(2, 123) = 246 / 246
GCD(2, 123) = 1
GCD of 952, 654, 123 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 952, 654, 123
1. What is the GCD of 952, 654, 123?
GCD of 952, 654, 123 is 1
2. Where do I get the detailed procedure to find GCD of 952, 654, 123?
You can find a detailed procedure to find GCD of 952, 654, 123 on our page.
3. How to find GCD of 952, 654, 123 on a calculator?
You can find the GCD of 952, 654, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.