GCF of 2423/192, 2074/550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2423/192, 2074/550 i.e 1/52800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2423/192, 2074/550.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2423/192,2074/550?
Given fractions are 2423/192,2074/550
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2423/192,2074/550, numerators are 2423,2074
Denominators are 192,550
The GCF of 2423,2074 is 1 .
LCM of 192,550 is 52800.
The greatest common factor of 2423/192,2074/550 = [GCF of 2423,2074]/[LCM of 192,550]= 1/52800
Therefore, the GCF of 2423/192,2074/550 is 1/52800.
To find the highest common factor of 2423,2074, we have to find the factors of both numbers and list the highest common factor.
The factors of 2423 are 1, 2423
The factors of 2074 are 1, 2, 17, 34, 61, 122, 1037, 2074
The HCF of 2423,2074 is 1.
Lets's calculate GCF of 2423,2074
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2423,2074 By Matching Biggest Common Factor Method
Now, list down the factors of 2423
:1,2423
Now, list down the factors of 2074
:1,2,17,34,61,122,1037,2074
Greatest Common Factor
We found the factors 2423,2074 . The biggest common factor number is the GCF number.
So the greatest common factor 2423,2074 is 1.
Lets's calculate LCM of 192,550
| 2 | 192, 550 |
| 96, 275 |
∴ So the LCM of the given numbers is 2 x 96 x 275 = 52800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52800
Therefore, the GCF of Fractions 2423/192,2074/550 is 1/52800
Least Common Multiple of 192,550 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 192,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(192,550) x common factors =2 x 1 = 2
LCM(192,550) = ( 192 × 550 ) / 2
LCM(192,550) = 105600 / 2
LCM(192,550) = 52800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2423/192, 2074/550
1. What is the HCF of 2423,2074?
The HCF of 2423,2074 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2423/192, 2074/550?
Answer: GCF of Numerators as per given numbers 2423/192, 2074/550 is
GCF of Numerators i.e. for 2423,2074 is 1
LCM of denominators i.e. for 192,550 is 52800.
Thus, GCF of Fractions is 1/52800.Finally, GCF of Fractions for 2423/192, 2074/550 is 1/52800.