GCD of 126, 192, 537 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 126, 192, 537 i.e. 3 largest integer that divides all the numbers equally.
GCD of 126, 192, 537 is 3
GCD(126, 192, 537) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 192, 537 is 3
GCD(126, 192, 537) = 3
GCDof 126,192,537 is 3
Given Input numbers are 126, 192, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 126, 192, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 192, 537 is 3.
Therefore, GCD of numbers 126, 192, 537 is 3
Given Input Data is 126, 192, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 537 is 3 x 179
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 126, 192, 537 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(126, 192) = 4032
GCD(126, 192) = ( 126 x 192 ) / 4032
GCD(126, 192) = 24192 / 4032
GCD(126, 192) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 537) = 1074
GCD(6, 537) = ( 6 x 537 ) / 1074
GCD(6, 537) = 3222 / 1074
GCD(6, 537) = 3
GCD of 126, 192, 537 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 126, 192, 537
1. What is the GCD of 126, 192, 537?
GCD of 126, 192, 537 is 3
2. Where do I get the detailed procedure to find GCD of 126, 192, 537?
You can find a detailed procedure to find GCD of 126, 192, 537 on our page.
3. How to find GCD of 126, 192, 537 on a calculator?
You can find the GCD of 126, 192, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.