GCF of 884/398, 2586/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 884/398, 2586/724 i.e 2/144076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/398, 2586/724.
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 884/398,2586/724?
Given fractions are 884/398,2586/724
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 884/398,2586/724, numerators are 884,2586
Denominators are 398,724
The GCF of 884,2586 is 2 .
LCM of 398,724 is 144076.
The greatest common factor of 884/398,2586/724 = [GCF of 884,2586]/[LCM of 398,724]= 2/144076
Therefore, the GCF of 884/398,2586/724 is 2/144076.
To find the highest common factor of 884,2586, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 2586 are 1, 2, 3, 6, 431, 862, 1293, 2586
The HCF of 884,2586 is 2.
Lets's calculate GCF of 884,2586
| 2 | 884, 2586 |
| 442, 1293 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 884,2586 By Matching Biggest Common Factor Method
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 2586
:1,2,3,6,431,862,1293,2586
Greatest Common Factor
We found the factors 884,2586 . The biggest common factor number is the GCF number.
So the greatest common factor 884,2586 is 2.
Lets's calculate LCM of 398,724
| 2 | 398, 724 |
| 199, 362 |
∴ So the LCM of the given numbers is 2 x 199 x 362 = 144076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144076
Therefore, the GCF of Fractions 884/398,2586/724 is 2/144076
Least Common Multiple of 398,724 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 398,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,724) x common factors =2 x 1 = 2
LCM(398,724) = ( 398 × 724 ) / 2
LCM(398,724) = 288152 / 2
LCM(398,724) = 144076
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FAQs on GCF of Fractions of 884/398, 2586/724
1. What is the HCF of 884,2586?
The HCF of 884,2586 is 2
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 884/398, 2586/724?
Answer: GCF of Numerators as per given numbers 884/398, 2586/724 is
GCF of Numerators i.e. for 884,2586 is 2
LCM of denominators i.e. for 398,724 is 144076.
Thus, GCF of Fractions is 2/144076.Finally, GCF of Fractions for 884/398, 2586/724 is 2/144076.