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 142, 932, 140 i.e. 2 largest integer that divides all the numbers equally.
GCD of 142, 932, 140 is 2
GCD(142, 932, 140) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 932, 140 is 2
GCD(142, 932, 140) = 2
Given Input numbers are 142, 932, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 142, 932, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 932, 140 is 2.
Therefore, GCD of numbers 142, 932, 140 is 2
Given Input Data is 142, 932, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 140 is 2 x 2 x 5 x 7
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(142, 932) = 66172
GCD(142, 932) = ( 142 x 932 ) / 66172
GCD(142, 932) = 132344 / 66172
GCD(142, 932) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
GCD(2, 140) = 280 / 140
GCD(2, 140) = 2
GCD of 142, 932, 140 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 932, 140?
GCD of 142, 932, 140 is 2
2. Where do I get the detailed procedure to find GCD of 142, 932, 140?
You can find a detailed procedure to find GCD of 142, 932, 140 on our page.
3. How to find GCD of 142, 932, 140 on a calculator?
You can find the GCD of 142, 932, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.