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 491, 735, 43, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 735, 43, 134 is 1
GCD(491, 735, 43, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 735, 43, 134 is 1
GCD(491, 735, 43, 134) = 1
Given Input numbers are 491, 735, 43, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 491, 735, 43, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 735, 43, 134 is 1.
Therefore, GCD of numbers 491, 735, 43, 134 is 1
Given Input Data is 491, 735, 43, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 43 is 43
Prime Factorization of 134 is 2 x 67
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(491, 735) = 360885
GCD(491, 735) = ( 491 x 735 ) / 360885
GCD(491, 735) = 360885 / 360885
GCD(491, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 491, 735, 43, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 735, 43, 134?
GCD of 491, 735, 43, 134 is 1
2. Where do I get the detailed procedure to find GCD of 491, 735, 43, 134?
You can find a detailed procedure to find GCD of 491, 735, 43, 134 on our page.
3. How to find GCD of 491, 735, 43, 134 on a calculator?
You can find the GCD of 491, 735, 43, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.