GCD of 738, 912, 69 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 738, 912, 69 i.e. 3 largest integer that divides all the numbers equally.
GCD of 738, 912, 69 is 3
GCD(738, 912, 69) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 912, 69 is 3
GCD(738, 912, 69) = 3
GCDof 738,912,69 is 3
Given Input numbers are 738, 912, 69
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Greatest Common Divisior
We found the divisors of 738, 912, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 912, 69 is 3.
Therefore, GCD of numbers 738, 912, 69 is 3
Given Input Data is 738, 912, 69
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 69 is 3 x 23
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 738, 912, 69 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(738, 912) = 112176
GCD(738, 912) = ( 738 x 912 ) / 112176
GCD(738, 912) = 673056 / 112176
GCD(738, 912) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 69) = 138
GCD(6, 69) = ( 6 x 69 ) / 138
GCD(6, 69) = 414 / 138
GCD(6, 69) = 3
GCD of 738, 912, 69 is 3
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FAQs on GCD of numbers 738, 912, 69
1. What is the GCD of 738, 912, 69?
GCD of 738, 912, 69 is 3
2. Where do I get the detailed procedure to find GCD of 738, 912, 69?
You can find a detailed procedure to find GCD of 738, 912, 69 on our page.
3. How to find GCD of 738, 912, 69 on a calculator?
You can find the GCD of 738, 912, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.