GCD of 712, 864, 894 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 712, 864, 894 i.e. 2 largest integer that divides all the numbers equally.
GCD of 712, 864, 894 is 2
GCD(712, 864, 894) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 864, 894 is 2
GCD(712, 864, 894) = 2
GCDof 712,864,894 is 2
Given Input numbers are 712, 864, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 712, 864, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 864, 894 is 2.
Therefore, GCD of numbers 712, 864, 894 is 2
Given Input Data is 712, 864, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 894 is 2 x 3 x 149
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 712, 864, 894 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(712, 864) = 76896
GCD(712, 864) = ( 712 x 864 ) / 76896
GCD(712, 864) = 615168 / 76896
GCD(712, 864) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 894) = 3576
GCD(8, 894) = ( 8 x 894 ) / 3576
GCD(8, 894) = 7152 / 3576
GCD(8, 894) = 2
GCD of 712, 864, 894 is 2
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FAQs on GCD of numbers 712, 864, 894
1. What is the GCD of 712, 864, 894?
GCD of 712, 864, 894 is 2
2. Where do I get the detailed procedure to find GCD of 712, 864, 894?
You can find a detailed procedure to find GCD of 712, 864, 894 on our page.
3. How to find GCD of 712, 864, 894 on a calculator?
You can find the GCD of 712, 864, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.