GCF of 9287/724, 7857/9552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9287/724, 7857/9552 i.e 1/1728912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9287/724, 7857/9552.
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 9287/724,7857/9552?
Given fractions are 9287/724,7857/9552
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 9287/724,7857/9552, numerators are 9287,7857
Denominators are 724,9552
The GCF of 9287,7857 is 1 .
LCM of 724,9552 is 1728912.
The greatest common factor of 9287/724,7857/9552 = [GCF of 9287,7857]/[LCM of 724,9552]= 1/1728912
Therefore, the GCF of 9287/724,7857/9552 is 1/1728912.
To find the highest common factor of 9287,7857, we have to find the factors of both numbers and list the highest common factor.
The factors of 9287 are 1, 37, 251, 9287
The factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857
The HCF of 9287,7857 is 1.
Lets's calculate GCF of 9287,7857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9287,7857 By Matching Biggest Common Factor Method
Now, list down the factors of 9287
:1,37,251,9287
Now, list down the factors of 7857
:1,3,9,27,81,97,291,873,2619,7857
Greatest Common Factor
We found the factors 9287,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 9287,7857 is 1.
Lets's calculate LCM of 724,9552
| 2 | 724, 9552 |
| 2 | 362, 4776 |
| 181, 2388 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 2388 = 1728912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1728912
Therefore, the GCF of Fractions 9287/724,7857/9552 is 1/1728912
Least Common Multiple of 724,9552 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 724,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,9552) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,9552) x common factors =4 x 1 = 4
LCM(724,9552) = ( 724 × 9552 ) / 4
LCM(724,9552) = 6915648 / 4
LCM(724,9552) = 1728912
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FAQs on GCF of Fractions of 9287/724, 7857/9552
1. What is the HCF of 9287,7857?
The HCF of 9287,7857 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 9287/724, 7857/9552?
Answer: GCF of Numerators as per given numbers 9287/724, 7857/9552 is
GCF of Numerators i.e. for 9287,7857 is 1
LCM of denominators i.e. for 724,9552 is 1728912.
Thus, GCF of Fractions is 1/1728912.Finally, GCF of Fractions for 9287/724, 7857/9552 is 1/1728912.