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 942, 104, 61, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 942, 104, 61, 874 is 1
GCD(942, 104, 61, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 104, 61, 874 is 1
GCD(942, 104, 61, 874) = 1
Given Input numbers are 942, 104, 61, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 942, 104, 61, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 104, 61, 874 is 1.
Therefore, GCD of numbers 942, 104, 61, 874 is 1
Given Input Data is 942, 104, 61, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 61 is 61
Prime Factorization of 874 is 2 x 19 x 23
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(942, 104) = 48984
GCD(942, 104) = ( 942 x 104 ) / 48984
GCD(942, 104) = 97968 / 48984
GCD(942, 104) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 942, 104, 61, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 104, 61, 874?
GCD of 942, 104, 61, 874 is 1
2. Where do I get the detailed procedure to find GCD of 942, 104, 61, 874?
You can find a detailed procedure to find GCD of 942, 104, 61, 874 on our page.
3. How to find GCD of 942, 104, 61, 874 on a calculator?
You can find the GCD of 942, 104, 61, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.