GCD of 98, 16, 32 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 98, 16, 32 i.e. 2 largest integer that divides all the numbers equally.
GCD of 98, 16, 32 is 2
GCD(98, 16, 32) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 16, 32 is 2
GCD(98, 16, 32) = 2
GCDof 98,16,32 is 2
Given Input numbers are 98, 16, 32
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Greatest Common Divisior
We found the divisors of 98, 16, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 16, 32 is 2.
Therefore, GCD of numbers 98, 16, 32 is 2
Given Input Data is 98, 16, 32
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 98, 16, 32 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(98, 16) = 784
GCD(98, 16) = ( 98 x 16 ) / 784
GCD(98, 16) = 1568 / 784
GCD(98, 16) = 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
GCD of 98, 16, 32 is 2
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FAQs on GCD of numbers 98, 16, 32
1. What is the GCD of 98, 16, 32?
GCD of 98, 16, 32 is 2
2. Where do I get the detailed procedure to find GCD of 98, 16, 32?
You can find a detailed procedure to find GCD of 98, 16, 32 on our page.
3. How to find GCD of 98, 16, 32 on a calculator?
You can find the GCD of 98, 16, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.