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 133, 737, 119, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 737, 119, 986 is 1
GCD(133, 737, 119, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 737, 119, 986 is 1
GCD(133, 737, 119, 986) = 1
Given Input numbers are 133, 737, 119, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 133, 737, 119, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 737, 119, 986 is 1.
Therefore, GCD of numbers 133, 737, 119, 986 is 1
Given Input Data is 133, 737, 119, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 737 is 11 x 67
Prime Factorization of 119 is 7 x 17
Prime Factorization of 986 is 2 x 17 x 29
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(133, 737) = 98021
GCD(133, 737) = ( 133 x 737 ) / 98021
GCD(133, 737) = 98021 / 98021
GCD(133, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
GCD of 133, 737, 119, 986 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 737, 119, 986?
GCD of 133, 737, 119, 986 is 1
2. Where do I get the detailed procedure to find GCD of 133, 737, 119, 986?
You can find a detailed procedure to find GCD of 133, 737, 119, 986 on our page.
3. How to find GCD of 133, 737, 119, 986 on a calculator?
You can find the GCD of 133, 737, 119, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.