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 784, 702, 43 i.e. 1 largest integer that divides all the numbers equally.
GCD of 784, 702, 43 is 1
GCD(784, 702, 43) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 784, 702, 43 is 1
GCD(784, 702, 43) = 1
Given Input numbers are 784, 702, 43
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Greatest Common Divisior
We found the divisors of 784, 702, 43 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 702, 43 is 1.
Therefore, GCD of numbers 784, 702, 43 is 1
Given Input Data is 784, 702, 43
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 43 is 43
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(784, 702) = 275184
GCD(784, 702) = ( 784 x 702 ) / 275184
GCD(784, 702) = 550368 / 275184
GCD(784, 702) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
GCD(2, 43) = 86 / 86
GCD(2, 43) = 1
GCD of 784, 702, 43 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 784, 702, 43?
GCD of 784, 702, 43 is 1
2. Where do I get the detailed procedure to find GCD of 784, 702, 43?
You can find a detailed procedure to find GCD of 784, 702, 43 on our page.
3. How to find GCD of 784, 702, 43 on a calculator?
You can find the GCD of 784, 702, 43 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.