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 673, 218, 66, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 673, 218, 66, 874 is 1
GCD(673, 218, 66, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 673, 218, 66, 874 is 1
GCD(673, 218, 66, 874) = 1
Given Input numbers are 673, 218, 66, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 673, 218, 66, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 673, 218, 66, 874 is 1.
Therefore, GCD of numbers 673, 218, 66, 874 is 1
Given Input Data is 673, 218, 66, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 673 is 673
Prime Factorization of 218 is 2 x 109
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 874 is 2 x 19 x 23
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(673, 218) = 146714
GCD(673, 218) = ( 673 x 218 ) / 146714
GCD(673, 218) = 146714 / 146714
GCD(673, 218) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 673, 218, 66, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 673, 218, 66, 874?
GCD of 673, 218, 66, 874 is 1
2. Where do I get the detailed procedure to find GCD of 673, 218, 66, 874?
You can find a detailed procedure to find GCD of 673, 218, 66, 874 on our page.
3. How to find GCD of 673, 218, 66, 874 on a calculator?
You can find the GCD of 673, 218, 66, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.