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 84, 487, 220, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 487, 220, 677 is 1
GCD(84, 487, 220, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 487, 220, 677 is 1
GCD(84, 487, 220, 677) = 1
Given Input numbers are 84, 487, 220, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 84, 487, 220, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 487, 220, 677 is 1.
Therefore, GCD of numbers 84, 487, 220, 677 is 1
Given Input Data is 84, 487, 220, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 487 is 487
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 677 is 677
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(84, 487) = 40908
GCD(84, 487) = ( 84 x 487 ) / 40908
GCD(84, 487) = 40908 / 40908
GCD(84, 487) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 84, 487, 220, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 487, 220, 677?
GCD of 84, 487, 220, 677 is 1
2. Where do I get the detailed procedure to find GCD of 84, 487, 220, 677?
You can find a detailed procedure to find GCD of 84, 487, 220, 677 on our page.
3. How to find GCD of 84, 487, 220, 677 on a calculator?
You can find the GCD of 84, 487, 220, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.