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 297, 560, 507, 858 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 560, 507, 858 is 1
GCD(297, 560, 507, 858) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 560, 507, 858 is 1
GCD(297, 560, 507, 858) = 1
Given Input numbers are 297, 560, 507, 858
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
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 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Greatest Common Divisior
We found the divisors of 297, 560, 507, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 560, 507, 858 is 1.
Therefore, GCD of numbers 297, 560, 507, 858 is 1
Given Input Data is 297, 560, 507, 858
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 858 is 2 x 3 x 11 x 13
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(297, 560) = 166320
GCD(297, 560) = ( 297 x 560 ) / 166320
GCD(297, 560) = 166320 / 166320
GCD(297, 560) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
GCD of 297, 560, 507, 858 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 560, 507, 858?
GCD of 297, 560, 507, 858 is 1
2. Where do I get the detailed procedure to find GCD of 297, 560, 507, 858?
You can find a detailed procedure to find GCD of 297, 560, 507, 858 on our page.
3. How to find GCD of 297, 560, 507, 858 on a calculator?
You can find the GCD of 297, 560, 507, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.