GCD of 69, 60, 15 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, 60, 15 i.e. 3 largest integer that divides all the numbers equally.
GCD of 69, 60, 15 is 3
GCD(69, 60, 15) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 60, 15 is 3
GCD(69, 60, 15) = 3
GCDof 69,60,15 is 3
Given Input numbers are 69, 60, 15
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 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Greatest Common Divisior
We found the divisors of 69, 60, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 60, 15 is 3.
Therefore, GCD of numbers 69, 60, 15 is 3
Given Input Data is 69, 60, 15
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 15 is 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 69, 60, 15 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, 60) = 1380
GCD(69, 60) = ( 69 x 60 ) / 1380
GCD(69, 60) = 4140 / 1380
GCD(69, 60) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 15) = 15
GCD(3, 15) = ( 3 x 15 ) / 15
GCD(3, 15) = 45 / 15
GCD(3, 15) = 3
GCD of 69, 60, 15 is 3
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FAQs on GCD of numbers 69, 60, 15
1. What is the GCD of 69, 60, 15?
GCD of 69, 60, 15 is 3
2. Where do I get the detailed procedure to find GCD of 69, 60, 15?
You can find a detailed procedure to find GCD of 69, 60, 15 on our page.
3. How to find GCD of 69, 60, 15 on a calculator?
You can find the GCD of 69, 60, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.