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, 763, 40, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 763, 40, 380 is 1
GCD(645, 763, 40, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 763, 40, 380 is 1
GCD(645, 763, 40, 380) = 1
Given Input numbers are 645, 763, 40, 380
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 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 645, 763, 40, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 763, 40, 380 is 1.
Therefore, GCD of numbers 645, 763, 40, 380 is 1
Given Input Data is 645, 763, 40, 380
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 763 is 7 x 109
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 380 is 2 x 2 x 5 x 19
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, 763) = 492135
GCD(645, 763) = ( 645 x 763 ) / 492135
GCD(645, 763) = 492135 / 492135
GCD(645, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 645, 763, 40, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 763, 40, 380?
GCD of 645, 763, 40, 380 is 1
2. Where do I get the detailed procedure to find GCD of 645, 763, 40, 380?
You can find a detailed procedure to find GCD of 645, 763, 40, 380 on our page.
3. How to find GCD of 645, 763, 40, 380 on a calculator?
You can find the GCD of 645, 763, 40, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.