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 770, 363, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 363, 560 is 1
GCD(770, 363, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 363, 560 is 1
GCD(770, 363, 560) = 1
Given Input numbers are 770, 363, 560
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
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
Greatest Common Divisior
We found the divisors of 770, 363, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 363, 560 is 1.
Therefore, GCD of numbers 770, 363, 560 is 1
Given Input Data is 770, 363, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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(770, 363) = 25410
GCD(770, 363) = ( 770 x 363 ) / 25410
GCD(770, 363) = 279510 / 25410
GCD(770, 363) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 560) = 6160
GCD(11, 560) = ( 11 x 560 ) / 6160
GCD(11, 560) = 6160 / 6160
GCD(11, 560) = 1
GCD of 770, 363, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 363, 560?
GCD of 770, 363, 560 is 1
2. Where do I get the detailed procedure to find GCD of 770, 363, 560?
You can find a detailed procedure to find GCD of 770, 363, 560 on our page.
3. How to find GCD of 770, 363, 560 on a calculator?
You can find the GCD of 770, 363, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.