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 768, 520, 801, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 520, 801, 711 is 1
GCD(768, 520, 801, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 520, 801, 711 is 1
GCD(768, 520, 801, 711) = 1
Given Input numbers are 768, 520, 801, 711
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 768, 520, 801, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 520, 801, 711 is 1.
Therefore, GCD of numbers 768, 520, 801, 711 is 1
Given Input Data is 768, 520, 801, 711
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 711 is 3 x 3 x 79
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(768, 520) = 49920
GCD(768, 520) = ( 768 x 520 ) / 49920
GCD(768, 520) = 399360 / 49920
GCD(768, 520) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 801) = 6408
GCD(8, 801) = ( 8 x 801 ) / 6408
GCD(8, 801) = 6408 / 6408
GCD(8, 801) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 711) = 711
GCD(1, 711) = ( 1 x 711 ) / 711
GCD(1, 711) = 711 / 711
GCD(1, 711) = 1
GCD of 768, 520, 801, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 520, 801, 711?
GCD of 768, 520, 801, 711 is 1
2. Where do I get the detailed procedure to find GCD of 768, 520, 801, 711?
You can find a detailed procedure to find GCD of 768, 520, 801, 711 on our page.
3. How to find GCD of 768, 520, 801, 711 on a calculator?
You can find the GCD of 768, 520, 801, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.