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 678, 766, 716, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 766, 716, 833 is 1
GCD(678, 766, 716, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 766, 716, 833 is 1
GCD(678, 766, 716, 833) = 1
Given Input numbers are 678, 766, 716, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 678, 766, 716, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 766, 716, 833 is 1.
Therefore, GCD of numbers 678, 766, 716, 833 is 1
Given Input Data is 678, 766, 716, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 766 is 2 x 383
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 833 is 7 x 7 x 17
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(678, 766) = 259674
GCD(678, 766) = ( 678 x 766 ) / 259674
GCD(678, 766) = 519348 / 259674
GCD(678, 766) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
GCD(2, 716) = 1432 / 716
GCD(2, 716) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 833) = 1666
GCD(2, 833) = ( 2 x 833 ) / 1666
GCD(2, 833) = 1666 / 1666
GCD(2, 833) = 1
GCD of 678, 766, 716, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 766, 716, 833?
GCD of 678, 766, 716, 833 is 1
2. Where do I get the detailed procedure to find GCD of 678, 766, 716, 833?
You can find a detailed procedure to find GCD of 678, 766, 716, 833 on our page.
3. How to find GCD of 678, 766, 716, 833 on a calculator?
You can find the GCD of 678, 766, 716, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.