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, 724, 21, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 724, 21, 620 is 1
GCD(708, 724, 21, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 724, 21, 620 is 1
GCD(708, 724, 21, 620) = 1
Given Input numbers are 708, 724, 21, 620
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 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 708, 724, 21, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 724, 21, 620 is 1.
Therefore, GCD of numbers 708, 724, 21, 620 is 1
Given Input Data is 708, 724, 21, 620
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 724 is 2 x 2 x 181
Prime Factorization of 21 is 3 x 7
Prime Factorization of 620 is 2 x 2 x 5 x 31
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, 724) = 128148
GCD(708, 724) = ( 708 x 724 ) / 128148
GCD(708, 724) = 512592 / 128148
GCD(708, 724) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 21) = 84
GCD(4, 21) = ( 4 x 21 ) / 84
GCD(4, 21) = 84 / 84
GCD(4, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
GCD of 708, 724, 21, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 724, 21, 620?
GCD of 708, 724, 21, 620 is 1
2. Where do I get the detailed procedure to find GCD of 708, 724, 21, 620?
You can find a detailed procedure to find GCD of 708, 724, 21, 620 on our page.
3. How to find GCD of 708, 724, 21, 620 on a calculator?
You can find the GCD of 708, 724, 21, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.