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 956, 768, 58, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 956, 768, 58, 733 is 1
GCD(956, 768, 58, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 956, 768, 58, 733 is 1
GCD(956, 768, 58, 733) = 1
Given Input numbers are 956, 768, 58, 733
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Greatest Common Divisior
We found the divisors of 956, 768, 58, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 768, 58, 733 is 1.
Therefore, GCD of numbers 956, 768, 58, 733 is 1
Given Input Data is 956, 768, 58, 733
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 58 is 2 x 29
Prime Factorization of 733 is 733
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(956, 768) = 183552
GCD(956, 768) = ( 956 x 768 ) / 183552
GCD(956, 768) = 734208 / 183552
GCD(956, 768) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 58) = 116
GCD(4, 58) = ( 4 x 58 ) / 116
GCD(4, 58) = 232 / 116
GCD(4, 58) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 733) = 1466
GCD(2, 733) = ( 2 x 733 ) / 1466
GCD(2, 733) = 1466 / 1466
GCD(2, 733) = 1
GCD of 956, 768, 58, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 956, 768, 58, 733?
GCD of 956, 768, 58, 733 is 1
2. Where do I get the detailed procedure to find GCD of 956, 768, 58, 733?
You can find a detailed procedure to find GCD of 956, 768, 58, 733 on our page.
3. How to find GCD of 956, 768, 58, 733 on a calculator?
You can find the GCD of 956, 768, 58, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.