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 697, 560, 768, 752 i.e. 1 largest integer that divides all the numbers equally.
GCD of 697, 560, 768, 752 is 1
GCD(697, 560, 768, 752) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 697, 560, 768, 752 is 1
GCD(697, 560, 768, 752) = 1
Given Input numbers are 697, 560, 768, 752
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Greatest Common Divisior
We found the divisors of 697, 560, 768, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 560, 768, 752 is 1.
Therefore, GCD of numbers 697, 560, 768, 752 is 1
Given Input Data is 697, 560, 768, 752
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 697 is 17 x 41
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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 752 is 2 x 2 x 2 x 2 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(697, 560) = 390320
GCD(697, 560) = ( 697 x 560 ) / 390320
GCD(697, 560) = 390320 / 390320
GCD(697, 560) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
GCD of 697, 560, 768, 752 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 697, 560, 768, 752?
GCD of 697, 560, 768, 752 is 1
2. Where do I get the detailed procedure to find GCD of 697, 560, 768, 752?
You can find a detailed procedure to find GCD of 697, 560, 768, 752 on our page.
3. How to find GCD of 697, 560, 768, 752 on a calculator?
You can find the GCD of 697, 560, 768, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.