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, 341, 37, 875 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 341, 37, 875 is 1
GCD(340, 341, 37, 875) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 341, 37, 875 is 1
GCD(340, 341, 37, 875) = 1
Given Input numbers are 340, 341, 37, 875
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 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Greatest Common Divisior
We found the divisors of 340, 341, 37, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 341, 37, 875 is 1.
Therefore, GCD of numbers 340, 341, 37, 875 is 1
Given Input Data is 340, 341, 37, 875
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 341 is 11 x 31
Prime Factorization of 37 is 37
Prime Factorization of 875 is 5 x 5 x 5 x 7
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, 341) = 115940
GCD(340, 341) = ( 340 x 341 ) / 115940
GCD(340, 341) = 115940 / 115940
GCD(340, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 875) = 875
GCD(1, 875) = ( 1 x 875 ) / 875
GCD(1, 875) = 875 / 875
GCD(1, 875) = 1
GCD of 340, 341, 37, 875 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 341, 37, 875?
GCD of 340, 341, 37, 875 is 1
2. Where do I get the detailed procedure to find GCD of 340, 341, 37, 875?
You can find a detailed procedure to find GCD of 340, 341, 37, 875 on our page.
3. How to find GCD of 340, 341, 37, 875 on a calculator?
You can find the GCD of 340, 341, 37, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.