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 922, 154, 953, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 922, 154, 953, 763 is 1
GCD(922, 154, 953, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 922, 154, 953, 763 is 1
GCD(922, 154, 953, 763) = 1
Given Input numbers are 922, 154, 953, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 922, 154, 953, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 154, 953, 763 is 1.
Therefore, GCD of numbers 922, 154, 953, 763 is 1
Given Input Data is 922, 154, 953, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 922 is 2 x 461
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 953 is 953
Prime Factorization of 763 is 7 x 109
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(922, 154) = 70994
GCD(922, 154) = ( 922 x 154 ) / 70994
GCD(922, 154) = 141988 / 70994
GCD(922, 154) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 953) = 1906
GCD(2, 953) = ( 2 x 953 ) / 1906
GCD(2, 953) = 1906 / 1906
GCD(2, 953) = 1
Step3:
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
GCD of 922, 154, 953, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 922, 154, 953, 763?
GCD of 922, 154, 953, 763 is 1
2. Where do I get the detailed procedure to find GCD of 922, 154, 953, 763?
You can find a detailed procedure to find GCD of 922, 154, 953, 763 on our page.
3. How to find GCD of 922, 154, 953, 763 on a calculator?
You can find the GCD of 922, 154, 953, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.