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, 710, 126, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 710, 126, 978 is 1
GCD(297, 710, 126, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 710, 126, 978 is 1
GCD(297, 710, 126, 978) = 1
Given Input numbers are 297, 710, 126, 978
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 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Greatest Common Divisior
We found the divisors of 297, 710, 126, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 710, 126, 978 is 1.
Therefore, GCD of numbers 297, 710, 126, 978 is 1
Given Input Data is 297, 710, 126, 978
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 710 is 2 x 5 x 71
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 978 is 2 x 3 x 163
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, 710) = 210870
GCD(297, 710) = ( 297 x 710 ) / 210870
GCD(297, 710) = 210870 / 210870
GCD(297, 710) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
GCD of 297, 710, 126, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 710, 126, 978?
GCD of 297, 710, 126, 978 is 1
2. Where do I get the detailed procedure to find GCD of 297, 710, 126, 978?
You can find a detailed procedure to find GCD of 297, 710, 126, 978 on our page.
3. How to find GCD of 297, 710, 126, 978 on a calculator?
You can find the GCD of 297, 710, 126, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.