GCF of 341/298, 282/271, 923/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 341/298, 282/271, 923/326 i.e 1/13163554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/298, 282/271, 923/326.
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 341/298,282/271,923/326?
Given fractions are 341/298,282/271,923/326
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 341/298,282/271,923/326, numerators are 341,282,923
Denominators are 298,271,326
The GCF of 341,282,923 is 1 .
LCM of 298,271,326 is 13163554.
The greatest common factor of 341/298,282/271,923/326 = [GCF of 341,282,923]/[LCM of 298,271,326]= 1/13163554
Therefore, the GCF of 341/298,282/271,923/326 is 1/13163554.
To find the highest common factor of 341,282,923, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The factors of 923 are 1, 13, 71, 923
The HCF of 341,282,923 is 1.
Lets's calculate GCF of 341,282,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 341,282,923 By Matching Biggest Common Factor Method
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Now, list down the factors of 923
:1,13,71,923
Greatest Common Factor
We found the factors 341,282,923 . The biggest common factor number is the GCF number.
So the greatest common factor 341,282,923 is 1.
Lets's calculate LCM of 298,271,326
| 2 | 298, 271, 326 |
| 149, 271, 163 |
∴ So the LCM of the given numbers is 2 x 149 x 271 x 163 = 13163554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13163554
Therefore, the GCF of Fractions 341/298,282/271,923/326 is 1/13163554
Least Common Multiple of 298,271,326 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 298,271,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,271,326) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(298,271,326) x common factors =1 x 2 = 2
LCM(298,271,326) = ( 298 × 271 × 326 ) / 2
LCM(298,271,326) = 26327108 / 2
LCM(298,271,326) = 13163554
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 341/298, 282/271, 923/326
1. What is the HCF of 341,282,923?
The HCF of 341,282,923 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 341/298, 282/271, 923/326?
Answer: GCF of Numerators as per given numbers 341/298, 282/271, 923/326 is
GCF of Numerators i.e. for 341,282,923 is 1
LCM of denominators i.e. for 298,271,326 is 13163554.
Thus, GCF of Fractions is 1/13163554.Finally, GCF of Fractions for 341/298, 282/271, 923/326 is 1/13163554.