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, 735, 56, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 942, 735, 56, 403 is 1
GCD(942, 735, 56, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 735, 56, 403 is 1
GCD(942, 735, 56, 403) = 1
Given Input numbers are 942, 735, 56, 403
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 942, 735, 56, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 735, 56, 403 is 1.
Therefore, GCD of numbers 942, 735, 56, 403 is 1
Given Input Data is 942, 735, 56, 403
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 735 is 3 x 5 x 7 x 7
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 403 is 13 x 31
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, 735) = 230790
GCD(942, 735) = ( 942 x 735 ) / 230790
GCD(942, 735) = 692370 / 230790
GCD(942, 735) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 56) = 168
GCD(3, 56) = ( 3 x 56 ) / 168
GCD(3, 56) = 168 / 168
GCD(3, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
GCD(1, 403) = 403 / 403
GCD(1, 403) = 1
GCD of 942, 735, 56, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 735, 56, 403?
GCD of 942, 735, 56, 403 is 1
2. Where do I get the detailed procedure to find GCD of 942, 735, 56, 403?
You can find a detailed procedure to find GCD of 942, 735, 56, 403 on our page.
3. How to find GCD of 942, 735, 56, 403 on a calculator?
You can find the GCD of 942, 735, 56, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.