GCD of 504, 258, 67 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 504, 258, 67 i.e. 1 largest integer that divides all the numbers equally.
GCD of 504, 258, 67 is 1
GCD(504, 258, 67) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 258, 67 is 1
GCD(504, 258, 67) = 1
GCDof 504,258,67 is 1
Given Input numbers are 504, 258, 67
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Greatest Common Divisior
We found the divisors of 504, 258, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 258, 67 is 1.
Therefore, GCD of numbers 504, 258, 67 is 1
Given Input Data is 504, 258, 67
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 67 is 67
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 504, 258, 67 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(504, 258) = 21672
GCD(504, 258) = ( 504 x 258 ) / 21672
GCD(504, 258) = 130032 / 21672
GCD(504, 258) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 67) = 402
GCD(6, 67) = ( 6 x 67 ) / 402
GCD(6, 67) = 402 / 402
GCD(6, 67) = 1
GCD of 504, 258, 67 is 1
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FAQs on GCD of numbers 504, 258, 67
1. What is the GCD of 504, 258, 67?
GCD of 504, 258, 67 is 1
2. Where do I get the detailed procedure to find GCD of 504, 258, 67?
You can find a detailed procedure to find GCD of 504, 258, 67 on our page.
3. How to find GCD of 504, 258, 67 on a calculator?
You can find the GCD of 504, 258, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.