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 560, 977, 519, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 560, 977, 519, 699 is 1
GCD(560, 977, 519, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 977, 519, 699 is 1
GCD(560, 977, 519, 699) = 1
Given Input numbers are 560, 977, 519, 699
To find the GCD of numbers using factoring list out all the divisors of each number
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 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 560, 977, 519, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 977, 519, 699 is 1.
Therefore, GCD of numbers 560, 977, 519, 699 is 1
Given Input Data is 560, 977, 519, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 977 is 977
Prime Factorization of 519 is 3 x 173
Prime Factorization of 699 is 3 x 233
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(560, 977) = 547120
GCD(560, 977) = ( 560 x 977 ) / 547120
GCD(560, 977) = 547120 / 547120
GCD(560, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 519
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 519) = 519
GCD(1, 519) = ( 1 x 519 ) / 519
GCD(1, 519) = 519 / 519
GCD(1, 519) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 560, 977, 519, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 977, 519, 699?
GCD of 560, 977, 519, 699 is 1
2. Where do I get the detailed procedure to find GCD of 560, 977, 519, 699?
You can find a detailed procedure to find GCD of 560, 977, 519, 699 on our page.
3. How to find GCD of 560, 977, 519, 699 on a calculator?
You can find the GCD of 560, 977, 519, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.