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 691, 928, 84, 768 i.e. 1 largest integer that divides all the numbers equally.
GCD of 691, 928, 84, 768 is 1
GCD(691, 928, 84, 768) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 691, 928, 84, 768 is 1
GCD(691, 928, 84, 768) = 1
Given Input numbers are 691, 928, 84, 768
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Greatest Common Divisior
We found the divisors of 691, 928, 84, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 928, 84, 768 is 1.
Therefore, GCD of numbers 691, 928, 84, 768 is 1
Given Input Data is 691, 928, 84, 768
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 691 is 691
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(691, 928) = 641248
GCD(691, 928) = ( 691 x 928 ) / 641248
GCD(691, 928) = 641248 / 641248
GCD(691, 928) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
GCD of 691, 928, 84, 768 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 691, 928, 84, 768?
GCD of 691, 928, 84, 768 is 1
2. Where do I get the detailed procedure to find GCD of 691, 928, 84, 768?
You can find a detailed procedure to find GCD of 691, 928, 84, 768 on our page.
3. How to find GCD of 691, 928, 84, 768 on a calculator?
You can find the GCD of 691, 928, 84, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.