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 734, 858, 32, 650 i.e. 2 largest integer that divides all the numbers equally.
GCD of 734, 858, 32, 650 is 2
GCD(734, 858, 32, 650) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 858, 32, 650 is 2
GCD(734, 858, 32, 650) = 2
Given Input numbers are 734, 858, 32, 650
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 734, 858, 32, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 858, 32, 650 is 2.
Therefore, GCD of numbers 734, 858, 32, 650 is 2
Given Input Data is 734, 858, 32, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 650 is 2 x 5 x 5 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(734, 858) = 314886
GCD(734, 858) = ( 734 x 858 ) / 314886
GCD(734, 858) = 629772 / 314886
GCD(734, 858) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 650) = 650
GCD(2, 650) = ( 2 x 650 ) / 650
GCD(2, 650) = 1300 / 650
GCD(2, 650) = 2
GCD of 734, 858, 32, 650 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 858, 32, 650?
GCD of 734, 858, 32, 650 is 2
2. Where do I get the detailed procedure to find GCD of 734, 858, 32, 650?
You can find a detailed procedure to find GCD of 734, 858, 32, 650 on our page.
3. How to find GCD of 734, 858, 32, 650 on a calculator?
You can find the GCD of 734, 858, 32, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.