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 782, 622, 61, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 622, 61, 922 is 1
GCD(782, 622, 61, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 622, 61, 922 is 1
GCD(782, 622, 61, 922) = 1
Given Input numbers are 782, 622, 61, 922
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 782, 622, 61, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 622, 61, 922 is 1.
Therefore, GCD of numbers 782, 622, 61, 922 is 1
Given Input Data is 782, 622, 61, 922
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 622 is 2 x 311
Prime Factorization of 61 is 61
Prime Factorization of 922 is 2 x 461
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(782, 622) = 243202
GCD(782, 622) = ( 782 x 622 ) / 243202
GCD(782, 622) = 486404 / 243202
GCD(782, 622) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 782, 622, 61, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 622, 61, 922?
GCD of 782, 622, 61, 922 is 1
2. Where do I get the detailed procedure to find GCD of 782, 622, 61, 922?
You can find a detailed procedure to find GCD of 782, 622, 61, 922 on our page.
3. How to find GCD of 782, 622, 61, 922 on a calculator?
You can find the GCD of 782, 622, 61, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.