GCF of 7013/930, 2571/2286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7013/930, 2571/2286 i.e 1/354330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7013/930, 2571/2286.
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 7013/930,2571/2286?
Given fractions are 7013/930,2571/2286
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 7013/930,2571/2286, numerators are 7013,2571
Denominators are 930,2286
The GCF of 7013,2571 is 1 .
LCM of 930,2286 is 354330.
The greatest common factor of 7013/930,2571/2286 = [GCF of 7013,2571]/[LCM of 930,2286]= 1/354330
Therefore, the GCF of 7013/930,2571/2286 is 1/354330.
To find the highest common factor of 7013,2571, we have to find the factors of both numbers and list the highest common factor.
The factors of 7013 are 1, 7013
The factors of 2571 are 1, 3, 857, 2571
The HCF of 7013,2571 is 1.
Lets's calculate GCF of 7013,2571
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7013,2571 By Matching Biggest Common Factor Method
Now, list down the factors of 7013
:1,7013
Now, list down the factors of 2571
:1,3,857,2571
Greatest Common Factor
We found the factors 7013,2571 . The biggest common factor number is the GCF number.
So the greatest common factor 7013,2571 is 1.
Lets's calculate LCM of 930,2286
| 2 | 930, 2286 |
| 3 | 465, 1143 |
| 155, 381 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 381 = 354330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354330
Therefore, the GCF of Fractions 7013/930,2571/2286 is 1/354330
Least Common Multiple of 930,2286 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 930,2286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,2286) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(930,2286) x common factors =6 x 1 = 6
LCM(930,2286) = ( 930 × 2286 ) / 6
LCM(930,2286) = 2125980 / 6
LCM(930,2286) = 354330
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FAQs on GCF of Fractions of 7013/930, 2571/2286
1. What is the HCF of 7013,2571?
The HCF of 7013,2571 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 7013/930, 2571/2286?
Answer: GCF of Numerators as per given numbers 7013/930, 2571/2286 is
GCF of Numerators i.e. for 7013,2571 is 1
LCM of denominators i.e. for 930,2286 is 354330.
Thus, GCF of Fractions is 1/354330.Finally, GCF of Fractions for 7013/930, 2571/2286 is 1/354330.