GCD of 69, 72, 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 69, 72, 98 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 72, 98 is 1
GCD(69, 72, 98) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 72, 98 is 1
GCD(69, 72, 98) = 1
GCDof 69,72,98 is 1
Given Input numbers are 69, 72, 98
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 69, 72, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 72, 98 is 1.
Therefore, GCD of numbers 69, 72, 98 is 1
Given Input Data is 69, 72, 98
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 98 is 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 69, 72, 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(69, 72) = 1656
GCD(69, 72) = ( 69 x 72 ) / 1656
GCD(69, 72) = 4968 / 1656
GCD(69, 72) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 98) = 294
GCD(3, 98) = ( 3 x 98 ) / 294
GCD(3, 98) = 294 / 294
GCD(3, 98) = 1
GCD of 69, 72, 98 is 1
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FAQs on GCD of numbers 69, 72, 98
1. What is the GCD of 69, 72, 98?
GCD of 69, 72, 98 is 1
2. Where do I get the detailed procedure to find GCD of 69, 72, 98?
You can find a detailed procedure to find GCD of 69, 72, 98 on our page.
3. How to find GCD of 69, 72, 98 on a calculator?
You can find the GCD of 69, 72, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.