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, 754, 878, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 754, 878, 841 is 1
GCD(297, 754, 878, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 754, 878, 841 is 1
GCD(297, 754, 878, 841) = 1
Given Input numbers are 297, 754, 878, 841
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 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 297, 754, 878, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 754, 878, 841 is 1.
Therefore, GCD of numbers 297, 754, 878, 841 is 1
Given Input Data is 297, 754, 878, 841
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 754 is 2 x 13 x 29
Prime Factorization of 878 is 2 x 439
Prime Factorization of 841 is 29 x 29
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, 754) = 223938
GCD(297, 754) = ( 297 x 754 ) / 223938
GCD(297, 754) = 223938 / 223938
GCD(297, 754) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 841) = 841
GCD(1, 841) = ( 1 x 841 ) / 841
GCD(1, 841) = 841 / 841
GCD(1, 841) = 1
GCD of 297, 754, 878, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 754, 878, 841?
GCD of 297, 754, 878, 841 is 1
2. Where do I get the detailed procedure to find GCD of 297, 754, 878, 841?
You can find a detailed procedure to find GCD of 297, 754, 878, 841 on our page.
3. How to find GCD of 297, 754, 878, 841 on a calculator?
You can find the GCD of 297, 754, 878, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.