GCF of 5831/612, 8721/6715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5831/612, 8721/6715 i.e 17/241740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5831/612, 8721/6715.
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 5831/612,8721/6715?
Given fractions are 5831/612,8721/6715
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 5831/612,8721/6715, numerators are 5831,8721
Denominators are 612,6715
The GCF of 5831,8721 is 17 .
LCM of 612,6715 is 241740.
The greatest common factor of 5831/612,8721/6715 = [GCF of 5831,8721]/[LCM of 612,6715]= 17/241740
Therefore, the GCF of 5831/612,8721/6715 is 17/241740.
To find the highest common factor of 5831,8721, we have to find the factors of both numbers and list the highest common factor.
The factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831
The factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721
The HCF of 5831,8721 is 17.
Lets's calculate GCF of 5831,8721
| 17 | 5831, 8721 |
| 343, 513 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5831,8721 By Matching Biggest Common Factor Method
Now, list down the factors of 5831
:1,7,17,49,119,343,833,5831
Now, list down the factors of 8721
:1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Greatest Common Factor
We found the factors 5831,8721 . The biggest common factor number is the GCF number.
So the greatest common factor 5831,8721 is 17.
Lets's calculate LCM of 612,6715
| 17 | 612, 6715 |
| 36, 395 |
∴ So the LCM of the given numbers is 17 x 36 x 395 = 241740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/241740
Therefore, the GCF of Fractions 5831/612,8721/6715 is 17/241740
Least Common Multiple of 612,6715 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 612,6715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,6715) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(612,6715) x common factors =17 x 1 = 17
LCM(612,6715) = ( 612 × 6715 ) / 17
LCM(612,6715) = 4109580 / 17
LCM(612,6715) = 241740
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FAQs on GCF of Fractions of 5831/612, 8721/6715
1. What is the HCF of 5831,8721?
The HCF of 5831,8721 is 17
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 5831/612, 8721/6715?
Answer: GCF of Numerators as per given numbers 5831/612, 8721/6715 is
GCF of Numerators i.e. for 5831,8721 is 17
LCM of denominators i.e. for 612,6715 is 241740.
Thus, GCF of Fractions is 17/241740.Finally, GCF of Fractions for 5831/612, 8721/6715 is 17/241740.