GCF of 4512/110, 5865/8586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4512/110, 5865/8586 i.e 3/472230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4512/110, 5865/8586.
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 4512/110,5865/8586?
Given fractions are 4512/110,5865/8586
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 4512/110,5865/8586, numerators are 4512,5865
Denominators are 110,8586
The GCF of 4512,5865 is 3 .
LCM of 110,8586 is 472230.
The greatest common factor of 4512/110,5865/8586 = [GCF of 4512,5865]/[LCM of 110,8586]= 3/472230
Therefore, the GCF of 4512/110,5865/8586 is 3/472230.
To find the highest common factor of 4512,5865, we have to find the factors of both numbers and list the highest common factor.
The factors of 4512 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256, 4512
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The HCF of 4512,5865 is 3.
Lets's calculate GCF of 4512,5865
| 3 | 4512, 5865 |
| 1504, 1955 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4512,5865 By Matching Biggest Common Factor Method
Now, list down the factors of 4512
:1,2,3,4,6,8,12,16,24,32,47,48,94,96,141,188,282,376,564,752,1128,1504,2256,4512
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 4512,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 4512,5865 is 3.
Lets's calculate LCM of 110,8586
| 2 | 110, 8586 |
| 55, 4293 |
∴ So the LCM of the given numbers is 2 x 55 x 4293 = 472230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/472230
Therefore, the GCF of Fractions 4512/110,5865/8586 is 3/472230
Least Common Multiple of 110,8586 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 110,8586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,8586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(110,8586) x common factors =2 x 1 = 2
LCM(110,8586) = ( 110 × 8586 ) / 2
LCM(110,8586) = 944460 / 2
LCM(110,8586) = 472230
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FAQs on GCF of Fractions of 4512/110, 5865/8586
1. What is the HCF of 4512,5865?
The HCF of 4512,5865 is 3
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 4512/110, 5865/8586?
Answer: GCF of Numerators as per given numbers 4512/110, 5865/8586 is
GCF of Numerators i.e. for 4512,5865 is 3
LCM of denominators i.e. for 110,8586 is 472230.
Thus, GCF of Fractions is 3/472230.Finally, GCF of Fractions for 4512/110, 5865/8586 is 3/472230.