GCD of 376, 654, 42 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 376, 654, 42 i.e. 2 largest integer that divides all the numbers equally.
GCD of 376, 654, 42 is 2
GCD(376, 654, 42) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 376, 654, 42 is 2
GCD(376, 654, 42) = 2
GCDof 376,654,42 is 2
Given Input numbers are 376, 654, 42
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Greatest Common Divisior
We found the divisors of 376, 654, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 654, 42 is 2.
Therefore, GCD of numbers 376, 654, 42 is 2
Given Input Data is 376, 654, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 42 is 2 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 376, 654, 42 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(376, 654) = 122952
GCD(376, 654) = ( 376 x 654 ) / 122952
GCD(376, 654) = 245904 / 122952
GCD(376, 654) = 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
GCD of 376, 654, 42 is 2
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FAQs on GCD of numbers 376, 654, 42
1. What is the GCD of 376, 654, 42?
GCD of 376, 654, 42 is 2
2. Where do I get the detailed procedure to find GCD of 376, 654, 42?
You can find a detailed procedure to find GCD of 376, 654, 42 on our page.
3. How to find GCD of 376, 654, 42 on a calculator?
You can find the GCD of 376, 654, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.