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 708, 664, 998, 639 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 664, 998, 639 is 1
GCD(708, 664, 998, 639) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 664, 998, 639 is 1
GCD(708, 664, 998, 639) = 1
Given Input numbers are 708, 664, 998, 639
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Greatest Common Divisior
We found the divisors of 708, 664, 998, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 664, 998, 639 is 1.
Therefore, GCD of numbers 708, 664, 998, 639 is 1
Given Input Data is 708, 664, 998, 639
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 998 is 2 x 499
Prime Factorization of 639 is 3 x 3 x 71
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(708, 664) = 117528
GCD(708, 664) = ( 708 x 664 ) / 117528
GCD(708, 664) = 470112 / 117528
GCD(708, 664) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 998) = 1996
GCD(4, 998) = ( 4 x 998 ) / 1996
GCD(4, 998) = 3992 / 1996
GCD(4, 998) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 639
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 639) = 1278
GCD(2, 639) = ( 2 x 639 ) / 1278
GCD(2, 639) = 1278 / 1278
GCD(2, 639) = 1
GCD of 708, 664, 998, 639 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 664, 998, 639?
GCD of 708, 664, 998, 639 is 1
2. Where do I get the detailed procedure to find GCD of 708, 664, 998, 639?
You can find a detailed procedure to find GCD of 708, 664, 998, 639 on our page.
3. How to find GCD of 708, 664, 998, 639 on a calculator?
You can find the GCD of 708, 664, 998, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.