GCF of 8688/524, 2534/2874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8688/524, 2534/2874 i.e 362/752988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8688/524, 2534/2874.
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 8688/524,2534/2874?
Given fractions are 8688/524,2534/2874
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 8688/524,2534/2874, numerators are 8688,2534
Denominators are 524,2874
The GCF of 8688,2534 is 362 .
LCM of 524,2874 is 752988.
The greatest common factor of 8688/524,2534/2874 = [GCF of 8688,2534]/[LCM of 524,2874]= 362/752988
Therefore, the GCF of 8688/524,2534/2874 is 362/752988.
To find the highest common factor of 8688,2534, we have to find the factors of both numbers and list the highest common factor.
The factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688
The factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534
The HCF of 8688,2534 is 362.
Lets's calculate GCF of 8688,2534
| 2 | 8688, 2534 |
| 181 | 4344, 1267 |
| 24, 7 |
∴ So the GCF of the given numbers is 2 x 181 = 362
Greatest Common Factor of 8688,2534 By Matching Biggest Common Factor Method
Now, list down the factors of 8688
:1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688
Now, list down the factors of 2534
:1,2,7,14,181,362,1267,2534
Greatest Common Factor
We found the factors 8688,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 8688,2534 is 362.
Lets's calculate LCM of 524,2874
| 2 | 524, 2874 |
| 262, 1437 |
∴ So the LCM of the given numbers is 2 x 262 x 1437 = 752988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 362/752988
Therefore, the GCF of Fractions 8688/524,2534/2874 is 362/752988
Least Common Multiple of 524,2874 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 524,2874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,2874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,2874) x common factors =2 x 1 = 2
LCM(524,2874) = ( 524 × 2874 ) / 2
LCM(524,2874) = 1505976 / 2
LCM(524,2874) = 752988
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FAQs on GCF of Fractions of 8688/524, 2534/2874
1. What is the HCF of 8688,2534?
The HCF of 8688,2534 is 362
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 8688/524, 2534/2874?
Answer: GCF of Numerators as per given numbers 8688/524, 2534/2874 is
GCF of Numerators i.e. for 8688,2534 is 362
LCM of denominators i.e. for 524,2874 is 752988.
Thus, GCF of Fractions is 362/752988.Finally, GCF of Fractions for 8688/524, 2534/2874 is 362/752988.