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, 767, 50, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 767, 50, 945 is 1
GCD(645, 767, 50, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 767, 50, 945 is 1
GCD(645, 767, 50, 945) = 1
Given Input numbers are 645, 767, 50, 945
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 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 645, 767, 50, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 767, 50, 945 is 1.
Therefore, GCD of numbers 645, 767, 50, 945 is 1
Given Input Data is 645, 767, 50, 945
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 767 is 13 x 59
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 945 is 3 x 3 x 3 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(645, 767) = 494715
GCD(645, 767) = ( 645 x 767 ) / 494715
GCD(645, 767) = 494715 / 494715
GCD(645, 767) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
GCD of 645, 767, 50, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 767, 50, 945?
GCD of 645, 767, 50, 945 is 1
2. Where do I get the detailed procedure to find GCD of 645, 767, 50, 945?
You can find a detailed procedure to find GCD of 645, 767, 50, 945 on our page.
3. How to find GCD of 645, 767, 50, 945 on a calculator?
You can find the GCD of 645, 767, 50, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.