GCD of 494, 456, 142 Calculator
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 494, 456, 142 i.e. 2 largest integer that divides all the numbers equally.
GCD of 494, 456, 142 is 2
GCD(494, 456, 142) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 456, 142 is 2
GCD(494, 456, 142) = 2
GCDof 494,456,142 is 2
Given Input numbers are 494, 456, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 494, 456, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 456, 142 is 2.
Therefore, GCD of numbers 494, 456, 142 is 2
Given Input Data is 494, 456, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 142 is 2 x 71
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 494, 456, 142 using LCM Formula
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(494, 456) = 5928
GCD(494, 456) = ( 494 x 456 ) / 5928
GCD(494, 456) = 225264 / 5928
GCD(494, 456) = 38
Step2:
Here we consider the GCD from the above i.e. 38 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 142) = 2698
GCD(38, 142) = ( 38 x 142 ) / 2698
GCD(38, 142) = 5396 / 2698
GCD(38, 142) = 2
GCD of 494, 456, 142 is 2
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FAQs on GCD of numbers 494, 456, 142
1. What is the GCD of 494, 456, 142?
GCD of 494, 456, 142 is 2
2. Where do I get the detailed procedure to find GCD of 494, 456, 142?
You can find a detailed procedure to find GCD of 494, 456, 142 on our page.
3. How to find GCD of 494, 456, 142 on a calculator?
You can find the GCD of 494, 456, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.