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 340, 736, 291, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 736, 291, 938 is 1
GCD(340, 736, 291, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 736, 291, 938 is 1
GCD(340, 736, 291, 938) = 1
Given Input numbers are 340, 736, 291, 938
To find the GCD of numbers using factoring list out all the divisors of each number
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 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 340, 736, 291, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 736, 291, 938 is 1.
Therefore, GCD of numbers 340, 736, 291, 938 is 1
Given Input Data is 340, 736, 291, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 291 is 3 x 97
Prime Factorization of 938 is 2 x 7 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(340, 736) = 62560
GCD(340, 736) = ( 340 x 736 ) / 62560
GCD(340, 736) = 250240 / 62560
GCD(340, 736) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 291) = 1164
GCD(4, 291) = ( 4 x 291 ) / 1164
GCD(4, 291) = 1164 / 1164
GCD(4, 291) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 340, 736, 291, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 736, 291, 938?
GCD of 340, 736, 291, 938 is 1
2. Where do I get the detailed procedure to find GCD of 340, 736, 291, 938?
You can find a detailed procedure to find GCD of 340, 736, 291, 938 on our page.
3. How to find GCD of 340, 736, 291, 938 on a calculator?
You can find the GCD of 340, 736, 291, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.