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 350, 470, 938 i.e. 2 largest integer that divides all the numbers equally.
GCD of 350, 470, 938 is 2
GCD(350, 470, 938) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 470, 938 is 2
GCD(350, 470, 938) = 2
Given Input numbers are 350, 470, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 350, 470, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 470, 938 is 2.
Therefore, GCD of numbers 350, 470, 938 is 2
Given Input Data is 350, 470, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 938 is 2 x 7 x 67
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(350, 470) = 16450
GCD(350, 470) = ( 350 x 470 ) / 16450
GCD(350, 470) = 164500 / 16450
GCD(350, 470) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 938) = 4690
GCD(10, 938) = ( 10 x 938 ) / 4690
GCD(10, 938) = 9380 / 4690
GCD(10, 938) = 2
GCD of 350, 470, 938 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 470, 938?
GCD of 350, 470, 938 is 2
2. Where do I get the detailed procedure to find GCD of 350, 470, 938?
You can find a detailed procedure to find GCD of 350, 470, 938 on our page.
3. How to find GCD of 350, 470, 938 on a calculator?
You can find the GCD of 350, 470, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.