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 671, 774, 945, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 671, 774, 945, 942 is 1
GCD(671, 774, 945, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 671, 774, 945, 942 is 1
GCD(671, 774, 945, 942) = 1
Given Input numbers are 671, 774, 945, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 671, 774, 945, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 774, 945, 942 is 1.
Therefore, GCD of numbers 671, 774, 945, 942 is 1
Given Input Data is 671, 774, 945, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 671 is 11 x 61
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 942 is 2 x 3 x 157
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(671, 774) = 519354
GCD(671, 774) = ( 671 x 774 ) / 519354
GCD(671, 774) = 519354 / 519354
GCD(671, 774) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 671, 774, 945, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 671, 774, 945, 942?
GCD of 671, 774, 945, 942 is 1
2. Where do I get the detailed procedure to find GCD of 671, 774, 945, 942?
You can find a detailed procedure to find GCD of 671, 774, 945, 942 on our page.
3. How to find GCD of 671, 774, 945, 942 on a calculator?
You can find the GCD of 671, 774, 945, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.