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 946, 198, 98, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 198, 98, 631 is 1
GCD(946, 198, 98, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 198, 98, 631 is 1
GCD(946, 198, 98, 631) = 1
Given Input numbers are 946, 198, 98, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 946, 198, 98, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 198, 98, 631 is 1.
Therefore, GCD of numbers 946, 198, 98, 631 is 1
Given Input Data is 946, 198, 98, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 631 is 631
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(946, 198) = 8514
GCD(946, 198) = ( 946 x 198 ) / 8514
GCD(946, 198) = 187308 / 8514
GCD(946, 198) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 98) = 1078
GCD(22, 98) = ( 22 x 98 ) / 1078
GCD(22, 98) = 2156 / 1078
GCD(22, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 631) = 1262
GCD(2, 631) = ( 2 x 631 ) / 1262
GCD(2, 631) = 1262 / 1262
GCD(2, 631) = 1
GCD of 946, 198, 98, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 198, 98, 631?
GCD of 946, 198, 98, 631 is 1
2. Where do I get the detailed procedure to find GCD of 946, 198, 98, 631?
You can find a detailed procedure to find GCD of 946, 198, 98, 631 on our page.
3. How to find GCD of 946, 198, 98, 631 on a calculator?
You can find the GCD of 946, 198, 98, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.