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 789, 672, 470 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 672, 470 is 1
GCD(789, 672, 470) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 672, 470 is 1
GCD(789, 672, 470) = 1
Given Input numbers are 789, 672, 470
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Greatest Common Divisior
We found the divisors of 789, 672, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 672, 470 is 1.
Therefore, GCD of numbers 789, 672, 470 is 1
Given Input Data is 789, 672, 470
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 470 is 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
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(789, 672) = 176736
GCD(789, 672) = ( 789 x 672 ) / 176736
GCD(789, 672) = 530208 / 176736
GCD(789, 672) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 470) = 1410
GCD(3, 470) = ( 3 x 470 ) / 1410
GCD(3, 470) = 1410 / 1410
GCD(3, 470) = 1
GCD of 789, 672, 470 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 672, 470?
GCD of 789, 672, 470 is 1
2. Where do I get the detailed procedure to find GCD of 789, 672, 470?
You can find a detailed procedure to find GCD of 789, 672, 470 on our page.
3. How to find GCD of 789, 672, 470 on a calculator?
You can find the GCD of 789, 672, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.