GCF of 8721/132, 8492/2547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8721/132, 8492/2547 i.e 1/112068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8721/132, 8492/2547.
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 8721/132,8492/2547?
Given fractions are 8721/132,8492/2547
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 8721/132,8492/2547, numerators are 8721,8492
Denominators are 132,2547
The GCF of 8721,8492 is 1 .
LCM of 132,2547 is 112068.
The greatest common factor of 8721/132,8492/2547 = [GCF of 8721,8492]/[LCM of 132,2547]= 1/112068
Therefore, the GCF of 8721/132,8492/2547 is 1/112068.
To find the highest common factor of 8721,8492, we have to find the factors of both numbers and list the highest common factor.
The factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721
The factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492
The HCF of 8721,8492 is 1.
Lets's calculate GCF of 8721,8492
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8721,8492 By Matching Biggest Common Factor Method
Now, list down the factors of 8721
:1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Now, list down the factors of 8492
:1,2,4,11,22,44,193,386,772,2123,4246,8492
Greatest Common Factor
We found the factors 8721,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 8721,8492 is 1.
Lets's calculate LCM of 132,2547
| 3 | 132, 2547 |
| 44, 849 |
∴ So the LCM of the given numbers is 3 x 44 x 849 = 112068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112068
Therefore, the GCF of Fractions 8721/132,8492/2547 is 1/112068
Least Common Multiple of 132,2547 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 132,2547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,2547) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(132,2547) x common factors =3 x 1 = 3
LCM(132,2547) = ( 132 × 2547 ) / 3
LCM(132,2547) = 336204 / 3
LCM(132,2547) = 112068
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FAQs on GCF of Fractions of 8721/132, 8492/2547
1. What is the HCF of 8721,8492?
The HCF of 8721,8492 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 8721/132, 8492/2547?
Answer: GCF of Numerators as per given numbers 8721/132, 8492/2547 is
GCF of Numerators i.e. for 8721,8492 is 1
LCM of denominators i.e. for 132,2547 is 112068.
Thus, GCF of Fractions is 1/112068.Finally, GCF of Fractions for 8721/132, 8492/2547 is 1/112068.