GCD of 637, 234, 66 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 637, 234, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 234, 66 is 1
GCD(637, 234, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 234, 66 is 1
GCD(637, 234, 66) = 1
GCDof 637,234,66 is 1
Given Input numbers are 637, 234, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 637, 234, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 234, 66 is 1.
Therefore, GCD of numbers 637, 234, 66 is 1
Given Input Data is 637, 234, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 66 is 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 637, 234, 66 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(637, 234) = 11466
GCD(637, 234) = ( 637 x 234 ) / 11466
GCD(637, 234) = 149058 / 11466
GCD(637, 234) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 66) = 858
GCD(13, 66) = ( 13 x 66 ) / 858
GCD(13, 66) = 858 / 858
GCD(13, 66) = 1
GCD of 637, 234, 66 is 1
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FAQs on GCD of numbers 637, 234, 66
1. What is the GCD of 637, 234, 66?
GCD of 637, 234, 66 is 1
2. Where do I get the detailed procedure to find GCD of 637, 234, 66?
You can find a detailed procedure to find GCD of 637, 234, 66 on our page.
3. How to find GCD of 637, 234, 66 on a calculator?
You can find the GCD of 637, 234, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.