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 802, 195, 924, 538 i.e. 1 largest integer that divides all the numbers equally.
GCD of 802, 195, 924, 538 is 1
GCD(802, 195, 924, 538) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 802, 195, 924, 538 is 1
GCD(802, 195, 924, 538) = 1
Given Input numbers are 802, 195, 924, 538
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Greatest Common Divisior
We found the divisors of 802, 195, 924, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 195, 924, 538 is 1.
Therefore, GCD of numbers 802, 195, 924, 538 is 1
Given Input Data is 802, 195, 924, 538
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 802 is 2 x 401
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 538 is 2 x 269
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(802, 195) = 156390
GCD(802, 195) = ( 802 x 195 ) / 156390
GCD(802, 195) = 156390 / 156390
GCD(802, 195) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
GCD of 802, 195, 924, 538 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 802, 195, 924, 538?
GCD of 802, 195, 924, 538 is 1
2. Where do I get the detailed procedure to find GCD of 802, 195, 924, 538?
You can find a detailed procedure to find GCD of 802, 195, 924, 538 on our page.
3. How to find GCD of 802, 195, 924, 538 on a calculator?
You can find the GCD of 802, 195, 924, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.