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, 109, 188, 834 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 109, 188, 834 is 1
GCD(946, 109, 188, 834) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 109, 188, 834 is 1
GCD(946, 109, 188, 834) = 1
Given Input numbers are 946, 109, 188, 834
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 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 946, 109, 188, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 109, 188, 834 is 1.
Therefore, GCD of numbers 946, 109, 188, 834 is 1
Given Input Data is 946, 109, 188, 834
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 109 is 109
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 834 is 2 x 3 x 139
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, 109) = 103114
GCD(946, 109) = ( 946 x 109 ) / 103114
GCD(946, 109) = 103114 / 103114
GCD(946, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
GCD of 946, 109, 188, 834 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 109, 188, 834?
GCD of 946, 109, 188, 834 is 1
2. Where do I get the detailed procedure to find GCD of 946, 109, 188, 834?
You can find a detailed procedure to find GCD of 946, 109, 188, 834 on our page.
3. How to find GCD of 946, 109, 188, 834 on a calculator?
You can find the GCD of 946, 109, 188, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.