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 622, 380, 75, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 622, 380, 75, 959 is 1
GCD(622, 380, 75, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 622, 380, 75, 959 is 1
GCD(622, 380, 75, 959) = 1
Given Input numbers are 622, 380, 75, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 622, 380, 75, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 380, 75, 959 is 1.
Therefore, GCD of numbers 622, 380, 75, 959 is 1
Given Input Data is 622, 380, 75, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 622 is 2 x 311
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 959 is 7 x 137
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(622, 380) = 118180
GCD(622, 380) = ( 622 x 380 ) / 118180
GCD(622, 380) = 236360 / 118180
GCD(622, 380) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 622, 380, 75, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 622, 380, 75, 959?
GCD of 622, 380, 75, 959 is 1
2. Where do I get the detailed procedure to find GCD of 622, 380, 75, 959?
You can find a detailed procedure to find GCD of 622, 380, 75, 959 on our page.
3. How to find GCD of 622, 380, 75, 959 on a calculator?
You can find the GCD of 622, 380, 75, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.