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 122, 623, 763, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 623, 763, 400 is 1
GCD(122, 623, 763, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 623, 763, 400 is 1
GCD(122, 623, 763, 400) = 1
Given Input numbers are 122, 623, 763, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 122, 623, 763, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 623, 763, 400 is 1.
Therefore, GCD of numbers 122, 623, 763, 400 is 1
Given Input Data is 122, 623, 763, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 623 is 7 x 89
Prime Factorization of 763 is 7 x 109
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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(122, 623) = 76006
GCD(122, 623) = ( 122 x 623 ) / 76006
GCD(122, 623) = 76006 / 76006
GCD(122, 623) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 122, 623, 763, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 623, 763, 400?
GCD of 122, 623, 763, 400 is 1
2. Where do I get the detailed procedure to find GCD of 122, 623, 763, 400?
You can find a detailed procedure to find GCD of 122, 623, 763, 400 on our page.
3. How to find GCD of 122, 623, 763, 400 on a calculator?
You can find the GCD of 122, 623, 763, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.