GCD of 315, 189, 98 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 315, 189, 98 i.e. 7 largest integer that divides all the numbers equally.
GCD of 315, 189, 98 is 7
GCD(315, 189, 98) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 189, 98 is 7
GCD(315, 189, 98) = 7
GCDof 315,189,98 is 7
Given Input numbers are 315, 189, 98
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Greatest Common Divisior
We found the divisors of 315, 189, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 189, 98 is 7.
Therefore, GCD of numbers 315, 189, 98 is 7
Given Input Data is 315, 189, 98
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 98 is 2 x 7 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 315, 189, 98 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(315, 189) = 945
GCD(315, 189) = ( 315 x 189 ) / 945
GCD(315, 189) = 59535 / 945
GCD(315, 189) = 63
Step2:
Here we consider the GCD from the above i.e. 63 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(63, 98) = 882
GCD(63, 98) = ( 63 x 98 ) / 882
GCD(63, 98) = 6174 / 882
GCD(63, 98) = 7
GCD of 315, 189, 98 is 7
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FAQs on GCD of numbers 315, 189, 98
1. What is the GCD of 315, 189, 98?
GCD of 315, 189, 98 is 7
2. Where do I get the detailed procedure to find GCD of 315, 189, 98?
You can find a detailed procedure to find GCD of 315, 189, 98 on our page.
3. How to find GCD of 315, 189, 98 on a calculator?
You can find the GCD of 315, 189, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.