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, 242, 747, 882 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 242, 747, 882 is 1
GCD(946, 242, 747, 882) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 242, 747, 882 is 1
GCD(946, 242, 747, 882) = 1
Given Input numbers are 946, 242, 747, 882
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 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Greatest Common Divisior
We found the divisors of 946, 242, 747, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 242, 747, 882 is 1.
Therefore, GCD of numbers 946, 242, 747, 882 is 1
Given Input Data is 946, 242, 747, 882
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 242 is 2 x 11 x 11
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
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, 242) = 10406
GCD(946, 242) = ( 946 x 242 ) / 10406
GCD(946, 242) = 228932 / 10406
GCD(946, 242) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 747) = 16434
GCD(22, 747) = ( 22 x 747 ) / 16434
GCD(22, 747) = 16434 / 16434
GCD(22, 747) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 1
GCD of 946, 242, 747, 882 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 242, 747, 882?
GCD of 946, 242, 747, 882 is 1
2. Where do I get the detailed procedure to find GCD of 946, 242, 747, 882?
You can find a detailed procedure to find GCD of 946, 242, 747, 882 on our page.
3. How to find GCD of 946, 242, 747, 882 on a calculator?
You can find the GCD of 946, 242, 747, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.