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 43, 616, 340, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 616, 340, 491 is 1
GCD(43, 616, 340, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 616, 340, 491 is 1
GCD(43, 616, 340, 491) = 1
Given Input numbers are 43, 616, 340, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 43, 616, 340, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 616, 340, 491 is 1.
Therefore, GCD of numbers 43, 616, 340, 491 is 1
Given Input Data is 43, 616, 340, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 491 is 491
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(43, 616) = 26488
GCD(43, 616) = ( 43 x 616 ) / 26488
GCD(43, 616) = 26488 / 26488
GCD(43, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 43, 616, 340, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 616, 340, 491?
GCD of 43, 616, 340, 491 is 1
2. Where do I get the detailed procedure to find GCD of 43, 616, 340, 491?
You can find a detailed procedure to find GCD of 43, 616, 340, 491 on our page.
3. How to find GCD of 43, 616, 340, 491 on a calculator?
You can find the GCD of 43, 616, 340, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.