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, 475, 946, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 475, 946, 139 is 1
GCD(123, 475, 946, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 475, 946, 139 is 1
GCD(123, 475, 946, 139) = 1
Given Input numbers are 123, 475, 946, 139
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 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 123, 475, 946, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 475, 946, 139 is 1.
Therefore, GCD of numbers 123, 475, 946, 139 is 1
Given Input Data is 123, 475, 946, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 139 is 139
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, 475) = 58425
GCD(123, 475) = ( 123 x 475 ) / 58425
GCD(123, 475) = 58425 / 58425
GCD(123, 475) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
GCD(1, 139) = 139 / 139
GCD(1, 139) = 1
GCD of 123, 475, 946, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 475, 946, 139?
GCD of 123, 475, 946, 139 is 1
2. Where do I get the detailed procedure to find GCD of 123, 475, 946, 139?
You can find a detailed procedure to find GCD of 123, 475, 946, 139 on our page.
3. How to find GCD of 123, 475, 946, 139 on a calculator?
You can find the GCD of 123, 475, 946, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.