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, 146, 42, 632 i.e. 2 largest integer that divides all the numbers equally.
GCD of 942, 146, 42, 632 is 2
GCD(942, 146, 42, 632) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 146, 42, 632 is 2
GCD(942, 146, 42, 632) = 2
Given Input numbers are 942, 146, 42, 632
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 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Greatest Common Divisior
We found the divisors of 942, 146, 42, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 146, 42, 632 is 2.
Therefore, GCD of numbers 942, 146, 42, 632 is 2
Given Input Data is 942, 146, 42, 632
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 146 is 2 x 73
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 632 is 2 x 2 x 2 x 79
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 146) = 68766
GCD(942, 146) = ( 942 x 146 ) / 68766
GCD(942, 146) = 137532 / 68766
GCD(942, 146) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
GCD(2, 632) = 1264 / 632
GCD(2, 632) = 2
GCD of 942, 146, 42, 632 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 146, 42, 632?
GCD of 942, 146, 42, 632 is 2
2. Where do I get the detailed procedure to find GCD of 942, 146, 42, 632?
You can find a detailed procedure to find GCD of 942, 146, 42, 632 on our page.
3. How to find GCD of 942, 146, 42, 632 on a calculator?
You can find the GCD of 942, 146, 42, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.