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 129, 345, 492, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 345, 492, 802 is 1
GCD(129, 345, 492, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 345, 492, 802 is 1
GCD(129, 345, 492, 802) = 1
Given Input numbers are 129, 345, 492, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 129, 345, 492, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 345, 492, 802 is 1.
Therefore, GCD of numbers 129, 345, 492, 802 is 1
Given Input Data is 129, 345, 492, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 802 is 2 x 401
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(129, 345) = 14835
GCD(129, 345) = ( 129 x 345 ) / 14835
GCD(129, 345) = 44505 / 14835
GCD(129, 345) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 492
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 492) = 492
GCD(3, 492) = ( 3 x 492 ) / 492
GCD(3, 492) = 1476 / 492
GCD(3, 492) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 802) = 2406
GCD(3, 802) = ( 3 x 802 ) / 2406
GCD(3, 802) = 2406 / 2406
GCD(3, 802) = 1
GCD of 129, 345, 492, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 345, 492, 802?
GCD of 129, 345, 492, 802 is 1
2. Where do I get the detailed procedure to find GCD of 129, 345, 492, 802?
You can find a detailed procedure to find GCD of 129, 345, 492, 802 on our page.
3. How to find GCD of 129, 345, 492, 802 on a calculator?
You can find the GCD of 129, 345, 492, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.