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 991, 137, 509, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 137, 509, 434 is 1
GCD(991, 137, 509, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 137, 509, 434 is 1
GCD(991, 137, 509, 434) = 1
Given Input numbers are 991, 137, 509, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 991, 137, 509, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 137, 509, 434 is 1.
Therefore, GCD of numbers 991, 137, 509, 434 is 1
Given Input Data is 991, 137, 509, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 137 is 137
Prime Factorization of 509 is 509
Prime Factorization of 434 is 2 x 7 x 31
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(991, 137) = 135767
GCD(991, 137) = ( 991 x 137 ) / 135767
GCD(991, 137) = 135767 / 135767
GCD(991, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 991, 137, 509, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 137, 509, 434?
GCD of 991, 137, 509, 434 is 1
2. Where do I get the detailed procedure to find GCD of 991, 137, 509, 434?
You can find a detailed procedure to find GCD of 991, 137, 509, 434 on our page.
3. How to find GCD of 991, 137, 509, 434 on a calculator?
You can find the GCD of 991, 137, 509, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.