GCD of 210, 938, 315 Calculator
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 210, 938, 315 i.e. 7 largest integer that divides all the numbers equally.
GCD of 210, 938, 315 is 7
GCD(210, 938, 315) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 938, 315 is 7
GCD(210, 938, 315) = 7
GCDof 210,938,315 is 7
Given Input numbers are 210, 938, 315
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Greatest Common Divisior
We found the divisors of 210, 938, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 938, 315 is 7.
Therefore, GCD of numbers 210, 938, 315 is 7
Given Input Data is 210, 938, 315
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 315 is 3 x 3 x 5 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 210, 938, 315 using LCM Formula
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(210, 938) = 14070
GCD(210, 938) = ( 210 x 938 ) / 14070
GCD(210, 938) = 196980 / 14070
GCD(210, 938) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 315) = 630
GCD(14, 315) = ( 14 x 315 ) / 630
GCD(14, 315) = 4410 / 630
GCD(14, 315) = 7
GCD of 210, 938, 315 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 210, 938, 315
1. What is the GCD of 210, 938, 315?
GCD of 210, 938, 315 is 7
2. Where do I get the detailed procedure to find GCD of 210, 938, 315?
You can find a detailed procedure to find GCD of 210, 938, 315 on our page.
3. How to find GCD of 210, 938, 315 on a calculator?
You can find the GCD of 210, 938, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.