GCF of 43/15, 225/14, 341/902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/15, 225/14, 341/902 i.e 1/94710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/15, 225/14, 341/902.
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 43/15,225/14,341/902?
Given fractions are 43/15,225/14,341/902
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 43/15,225/14,341/902, numerators are 43,225,341
Denominators are 15,14,902
The GCF of 43,225,341 is 1 .
LCM of 15,14,902 is 94710.
The greatest common factor of 43/15,225/14,341/902 = [GCF of 43,225,341]/[LCM of 15,14,902]= 1/94710
Therefore, the GCF of 43/15,225/14,341/902 is 1/94710.
To find the highest common factor of 43,225,341, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The factors of 341 are 1, 11, 31, 341
The HCF of 43,225,341 is 1.
Lets's calculate GCF of 43,225,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,225,341 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Now, list down the factors of 341
:1,11,31,341
Greatest Common Factor
We found the factors 43,225,341 . The biggest common factor number is the GCF number.
So the greatest common factor 43,225,341 is 1.
Lets's calculate LCM of 15,14,902
| 2 | 15, 14, 902 |
| 15, 7, 451 |
∴ So the LCM of the given numbers is 2 x 15 x 7 x 451 = 94710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94710
Therefore, the GCF of Fractions 43/15,225/14,341/902 is 1/94710
Least Common Multiple of 15,14,902 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 15,14,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,14,902) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(15,14,902) x common factors =1 x 2 = 2
LCM(15,14,902) = ( 15 × 14 × 902 ) / 2
LCM(15,14,902) = 189420 / 2
LCM(15,14,902) = 94710
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 43/15, 225/14, 341/902
1. What is the HCF of 43,225,341?
The HCF of 43,225,341 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 43/15, 225/14, 341/902?
Answer: GCF of Numerators as per given numbers 43/15, 225/14, 341/902 is
GCF of Numerators i.e. for 43,225,341 is 1
LCM of denominators i.e. for 15,14,902 is 94710.
Thus, GCF of Fractions is 1/94710.Finally, GCF of Fractions for 43/15, 225/14, 341/902 is 1/94710.