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 669, 980, 828, 724 i.e. 1 largest integer that divides all the numbers equally.
GCD of 669, 980, 828, 724 is 1
GCD(669, 980, 828, 724) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 669, 980, 828, 724 is 1
GCD(669, 980, 828, 724) = 1
Given Input numbers are 669, 980, 828, 724
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 669, 980, 828, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 980, 828, 724 is 1.
Therefore, GCD of numbers 669, 980, 828, 724 is 1
Given Input Data is 669, 980, 828, 724
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 669 is 3 x 223
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 724 is 2 x 2 x 181
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(669, 980) = 655620
GCD(669, 980) = ( 669 x 980 ) / 655620
GCD(669, 980) = 655620 / 655620
GCD(669, 980) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
GCD of 669, 980, 828, 724 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 669, 980, 828, 724?
GCD of 669, 980, 828, 724 is 1
2. Where do I get the detailed procedure to find GCD of 669, 980, 828, 724?
You can find a detailed procedure to find GCD of 669, 980, 828, 724 on our page.
3. How to find GCD of 669, 980, 828, 724 on a calculator?
You can find the GCD of 669, 980, 828, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.