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 736, 303, 645, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 303, 645, 952 is 1
GCD(736, 303, 645, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 303, 645, 952 is 1
GCD(736, 303, 645, 952) = 1
Given Input numbers are 736, 303, 645, 952
To find the GCD of numbers using factoring list out all the divisors of each number
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 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
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 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 736, 303, 645, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 303, 645, 952 is 1.
Therefore, GCD of numbers 736, 303, 645, 952 is 1
Given Input Data is 736, 303, 645, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 303 is 3 x 101
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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(736, 303) = 223008
GCD(736, 303) = ( 736 x 303 ) / 223008
GCD(736, 303) = 223008 / 223008
GCD(736, 303) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
GCD(1, 952) = 952 / 952
GCD(1, 952) = 1
GCD of 736, 303, 645, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 303, 645, 952?
GCD of 736, 303, 645, 952 is 1
2. Where do I get the detailed procedure to find GCD of 736, 303, 645, 952?
You can find a detailed procedure to find GCD of 736, 303, 645, 952 on our page.
3. How to find GCD of 736, 303, 645, 952 on a calculator?
You can find the GCD of 736, 303, 645, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.