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, 951, 335, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 951, 335, 769 is 1
GCD(123, 951, 335, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 951, 335, 769 is 1
GCD(123, 951, 335, 769) = 1
Given Input numbers are 123, 951, 335, 769
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 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 123, 951, 335, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 951, 335, 769 is 1.
Therefore, GCD of numbers 123, 951, 335, 769 is 1
Given Input Data is 123, 951, 335, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 951 is 3 x 317
Prime Factorization of 335 is 5 x 67
Prime Factorization of 769 is 769
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, 951) = 38991
GCD(123, 951) = ( 123 x 951 ) / 38991
GCD(123, 951) = 116973 / 38991
GCD(123, 951) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 335) = 1005
GCD(3, 335) = ( 3 x 335 ) / 1005
GCD(3, 335) = 1005 / 1005
GCD(3, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 123, 951, 335, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 951, 335, 769?
GCD of 123, 951, 335, 769 is 1
2. Where do I get the detailed procedure to find GCD of 123, 951, 335, 769?
You can find a detailed procedure to find GCD of 123, 951, 335, 769 on our page.
3. How to find GCD of 123, 951, 335, 769 on a calculator?
You can find the GCD of 123, 951, 335, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.