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 642, 258, 360, 300 i.e. 6 largest integer that divides all the numbers equally.
GCD of 642, 258, 360, 300 is 6
GCD(642, 258, 360, 300) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 258, 360, 300 is 6
GCD(642, 258, 360, 300) = 6
Given Input numbers are 642, 258, 360, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 642, 258, 360, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 258, 360, 300 is 6.
Therefore, GCD of numbers 642, 258, 360, 300 is 6
Given Input Data is 642, 258, 360, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(642, 258) = 27606
GCD(642, 258) = ( 642 x 258 ) / 27606
GCD(642, 258) = 165636 / 27606
GCD(642, 258) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 360) = 360
GCD(6, 360) = ( 6 x 360 ) / 360
GCD(6, 360) = 2160 / 360
GCD(6, 360) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 300) = 300
GCD(6, 300) = ( 6 x 300 ) / 300
GCD(6, 300) = 1800 / 300
GCD(6, 300) = 6
GCD of 642, 258, 360, 300 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 258, 360, 300?
GCD of 642, 258, 360, 300 is 6
2. Where do I get the detailed procedure to find GCD of 642, 258, 360, 300?
You can find a detailed procedure to find GCD of 642, 258, 360, 300 on our page.
3. How to find GCD of 642, 258, 360, 300 on a calculator?
You can find the GCD of 642, 258, 360, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.