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, 210, 49, 932 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 210, 49, 932 is 1
GCD(122, 210, 49, 932) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 210, 49, 932 is 1
GCD(122, 210, 49, 932) = 1
Given Input numbers are 122, 210, 49, 932
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 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 122, 210, 49, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 210, 49, 932 is 1.
Therefore, GCD of numbers 122, 210, 49, 932 is 1
Given Input Data is 122, 210, 49, 932
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 49 is 7 x 7
Prime Factorization of 932 is 2 x 2 x 233
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, 210) = 12810
GCD(122, 210) = ( 122 x 210 ) / 12810
GCD(122, 210) = 25620 / 12810
GCD(122, 210) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 49) = 98
GCD(2, 49) = ( 2 x 49 ) / 98
GCD(2, 49) = 98 / 98
GCD(2, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
GCD of 122, 210, 49, 932 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 210, 49, 932?
GCD of 122, 210, 49, 932 is 1
2. Where do I get the detailed procedure to find GCD of 122, 210, 49, 932?
You can find a detailed procedure to find GCD of 122, 210, 49, 932 on our page.
3. How to find GCD of 122, 210, 49, 932 on a calculator?
You can find the GCD of 122, 210, 49, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.