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 632, 918, 686, 950 i.e. 2 largest integer that divides all the numbers equally.
GCD of 632, 918, 686, 950 is 2
GCD(632, 918, 686, 950) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 632, 918, 686, 950 is 2
GCD(632, 918, 686, 950) = 2
Given Input numbers are 632, 918, 686, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 632, 918, 686, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 918, 686, 950 is 2.
Therefore, GCD of numbers 632, 918, 686, 950 is 2
Given Input Data is 632, 918, 686, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(632, 918) = 290088
GCD(632, 918) = ( 632 x 918 ) / 290088
GCD(632, 918) = 580176 / 290088
GCD(632, 918) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
GCD(2, 686) = 1372 / 686
GCD(2, 686) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 950) = 950
GCD(2, 950) = ( 2 x 950 ) / 950
GCD(2, 950) = 1900 / 950
GCD(2, 950) = 2
GCD of 632, 918, 686, 950 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 632, 918, 686, 950?
GCD of 632, 918, 686, 950 is 2
2. Where do I get the detailed procedure to find GCD of 632, 918, 686, 950?
You can find a detailed procedure to find GCD of 632, 918, 686, 950 on our page.
3. How to find GCD of 632, 918, 686, 950 on a calculator?
You can find the GCD of 632, 918, 686, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.