GCF of 7343/586, 9281/1714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7343/586, 9281/1714 i.e 1/502202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7343/586, 9281/1714.
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 7343/586,9281/1714?
Given fractions are 7343/586,9281/1714
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 7343/586,9281/1714, numerators are 7343,9281
Denominators are 586,1714
The GCF of 7343,9281 is 1 .
LCM of 586,1714 is 502202.
The greatest common factor of 7343/586,9281/1714 = [GCF of 7343,9281]/[LCM of 586,1714]= 1/502202
Therefore, the GCF of 7343/586,9281/1714 is 1/502202.
To find the highest common factor of 7343,9281, we have to find the factors of both numbers and list the highest common factor.
The factors of 7343 are 1, 7, 1049, 7343
The factors of 9281 are 1, 9281
The HCF of 7343,9281 is 1.
Lets's calculate GCF of 7343,9281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7343,9281 By Matching Biggest Common Factor Method
Now, list down the factors of 7343
:1,7,1049,7343
Now, list down the factors of 9281
:1,9281
Greatest Common Factor
We found the factors 7343,9281 . The biggest common factor number is the GCF number.
So the greatest common factor 7343,9281 is 1.
Lets's calculate LCM of 586,1714
| 2 | 586, 1714 |
| 293, 857 |
∴ So the LCM of the given numbers is 2 x 293 x 857 = 502202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502202
Therefore, the GCF of Fractions 7343/586,9281/1714 is 1/502202
Least Common Multiple of 586,1714 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 586,1714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,1714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,1714) x common factors =2 x 1 = 2
LCM(586,1714) = ( 586 × 1714 ) / 2
LCM(586,1714) = 1004404 / 2
LCM(586,1714) = 502202
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FAQs on GCF of Fractions of 7343/586, 9281/1714
1. What is the HCF of 7343,9281?
The HCF of 7343,9281 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 7343/586, 9281/1714?
Answer: GCF of Numerators as per given numbers 7343/586, 9281/1714 is
GCF of Numerators i.e. for 7343,9281 is 1
LCM of denominators i.e. for 586,1714 is 502202.
Thus, GCF of Fractions is 1/502202.Finally, GCF of Fractions for 7343/586, 9281/1714 is 1/502202.