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 696, 399, 140, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 399, 140, 820 is 1
GCD(696, 399, 140, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 399, 140, 820 is 1
GCD(696, 399, 140, 820) = 1
Given Input numbers are 696, 399, 140, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 696, 399, 140, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 399, 140, 820 is 1.
Therefore, GCD of numbers 696, 399, 140, 820 is 1
Given Input Data is 696, 399, 140, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(696, 399) = 92568
GCD(696, 399) = ( 696 x 399 ) / 92568
GCD(696, 399) = 277704 / 92568
GCD(696, 399) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 140) = 420
GCD(3, 140) = ( 3 x 140 ) / 420
GCD(3, 140) = 420 / 420
GCD(3, 140) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 696, 399, 140, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 399, 140, 820?
GCD of 696, 399, 140, 820 is 1
2. Where do I get the detailed procedure to find GCD of 696, 399, 140, 820?
You can find a detailed procedure to find GCD of 696, 399, 140, 820 on our page.
3. How to find GCD of 696, 399, 140, 820 on a calculator?
You can find the GCD of 696, 399, 140, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.