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 600, 678, 86, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 678, 86, 221 is 1
GCD(600, 678, 86, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 678, 86, 221 is 1
GCD(600, 678, 86, 221) = 1
Given Input numbers are 600, 678, 86, 221
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 600, 678, 86, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 678, 86, 221 is 1.
Therefore, GCD of numbers 600, 678, 86, 221 is 1
Given Input Data is 600, 678, 86, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 86 is 2 x 43
Prime Factorization of 221 is 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
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(600, 678) = 67800
GCD(600, 678) = ( 600 x 678 ) / 67800
GCD(600, 678) = 406800 / 67800
GCD(600, 678) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 86) = 258
GCD(6, 86) = ( 6 x 86 ) / 258
GCD(6, 86) = 516 / 258
GCD(6, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
GCD(2, 221) = 442 / 442
GCD(2, 221) = 1
GCD of 600, 678, 86, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 678, 86, 221?
GCD of 600, 678, 86, 221 is 1
2. Where do I get the detailed procedure to find GCD of 600, 678, 86, 221?
You can find a detailed procedure to find GCD of 600, 678, 86, 221 on our page.
3. How to find GCD of 600, 678, 86, 221 on a calculator?
You can find the GCD of 600, 678, 86, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.