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 771, 298, 946, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 298, 946, 238 is 1
GCD(771, 298, 946, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 298, 946, 238 is 1
GCD(771, 298, 946, 238) = 1
Given Input numbers are 771, 298, 946, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
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 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 771, 298, 946, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 298, 946, 238 is 1.
Therefore, GCD of numbers 771, 298, 946, 238 is 1
Given Input Data is 771, 298, 946, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 298 is 2 x 149
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 238 is 2 x 7 x 17
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(771, 298) = 229758
GCD(771, 298) = ( 771 x 298 ) / 229758
GCD(771, 298) = 229758 / 229758
GCD(771, 298) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 771, 298, 946, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 298, 946, 238?
GCD of 771, 298, 946, 238 is 1
2. Where do I get the detailed procedure to find GCD of 771, 298, 946, 238?
You can find a detailed procedure to find GCD of 771, 298, 946, 238 on our page.
3. How to find GCD of 771, 298, 946, 238 on a calculator?
You can find the GCD of 771, 298, 946, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.