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 134, 802, 613, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 802, 613, 374 is 1
GCD(134, 802, 613, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 802, 613, 374 is 1
GCD(134, 802, 613, 374) = 1
Given Input numbers are 134, 802, 613, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 134, 802, 613, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 802, 613, 374 is 1.
Therefore, GCD of numbers 134, 802, 613, 374 is 1
Given Input Data is 134, 802, 613, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 802 is 2 x 401
Prime Factorization of 613 is 613
Prime Factorization of 374 is 2 x 11 x 17
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(134, 802) = 53734
GCD(134, 802) = ( 134 x 802 ) / 53734
GCD(134, 802) = 107468 / 53734
GCD(134, 802) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 613) = 1226
GCD(2, 613) = ( 2 x 613 ) / 1226
GCD(2, 613) = 1226 / 1226
GCD(2, 613) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 134, 802, 613, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 802, 613, 374?
GCD of 134, 802, 613, 374 is 1
2. Where do I get the detailed procedure to find GCD of 134, 802, 613, 374?
You can find a detailed procedure to find GCD of 134, 802, 613, 374 on our page.
3. How to find GCD of 134, 802, 613, 374 on a calculator?
You can find the GCD of 134, 802, 613, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.