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, 510, 127, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 510, 127, 977 is 1
GCD(297, 510, 127, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 510, 127, 977 is 1
GCD(297, 510, 127, 977) = 1
Given Input numbers are 297, 510, 127, 977
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 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 297, 510, 127, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 510, 127, 977 is 1.
Therefore, GCD of numbers 297, 510, 127, 977 is 1
Given Input Data is 297, 510, 127, 977
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 510 is 2 x 3 x 5 x 17
Prime Factorization of 127 is 127
Prime Factorization of 977 is 977
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, 510) = 50490
GCD(297, 510) = ( 297 x 510 ) / 50490
GCD(297, 510) = 151470 / 50490
GCD(297, 510) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 127) = 381
GCD(3, 127) = ( 3 x 127 ) / 381
GCD(3, 127) = 381 / 381
GCD(3, 127) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
GCD(1, 977) = 977 / 977
GCD(1, 977) = 1
GCD of 297, 510, 127, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 510, 127, 977?
GCD of 297, 510, 127, 977 is 1
2. Where do I get the detailed procedure to find GCD of 297, 510, 127, 977?
You can find a detailed procedure to find GCD of 297, 510, 127, 977 on our page.
3. How to find GCD of 297, 510, 127, 977 on a calculator?
You can find the GCD of 297, 510, 127, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.