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 645, 940, 59, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 940, 59, 397 is 1
GCD(645, 940, 59, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 940, 59, 397 is 1
GCD(645, 940, 59, 397) = 1
Given Input numbers are 645, 940, 59, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 645, 940, 59, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 940, 59, 397 is 1.
Therefore, GCD of numbers 645, 940, 59, 397 is 1
Given Input Data is 645, 940, 59, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 59 is 59
Prime Factorization of 397 is 397
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(645, 940) = 121260
GCD(645, 940) = ( 645 x 940 ) / 121260
GCD(645, 940) = 606300 / 121260
GCD(645, 940) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 59) = 295
GCD(5, 59) = ( 5 x 59 ) / 295
GCD(5, 59) = 295 / 295
GCD(5, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 645, 940, 59, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 940, 59, 397?
GCD of 645, 940, 59, 397 is 1
2. Where do I get the detailed procedure to find GCD of 645, 940, 59, 397?
You can find a detailed procedure to find GCD of 645, 940, 59, 397 on our page.
3. How to find GCD of 645, 940, 59, 397 on a calculator?
You can find the GCD of 645, 940, 59, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.