GCF of 5087/472, 3872/1494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5087/472, 3872/1494 i.e 1/352584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5087/472, 3872/1494.
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 5087/472,3872/1494?
Given fractions are 5087/472,3872/1494
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 5087/472,3872/1494, numerators are 5087,3872
Denominators are 472,1494
The GCF of 5087,3872 is 1 .
LCM of 472,1494 is 352584.
The greatest common factor of 5087/472,3872/1494 = [GCF of 5087,3872]/[LCM of 472,1494]= 1/352584
Therefore, the GCF of 5087/472,3872/1494 is 1/352584.
To find the highest common factor of 5087,3872, we have to find the factors of both numbers and list the highest common factor.
The factors of 5087 are 1, 5087
The factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872
The HCF of 5087,3872 is 1.
Lets's calculate GCF of 5087,3872
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5087,3872 By Matching Biggest Common Factor Method
Now, list down the factors of 5087
:1,5087
Now, list down the factors of 3872
:1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Greatest Common Factor
We found the factors 5087,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 5087,3872 is 1.
Lets's calculate LCM of 472,1494
| 2 | 472, 1494 |
| 236, 747 |
∴ So the LCM of the given numbers is 2 x 236 x 747 = 352584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352584
Therefore, the GCF of Fractions 5087/472,3872/1494 is 1/352584
Least Common Multiple of 472,1494 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 472,1494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,1494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,1494) x common factors =2 x 1 = 2
LCM(472,1494) = ( 472 × 1494 ) / 2
LCM(472,1494) = 705168 / 2
LCM(472,1494) = 352584
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FAQs on GCF of Fractions of 5087/472, 3872/1494
1. What is the HCF of 5087,3872?
The HCF of 5087,3872 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 5087/472, 3872/1494?
Answer: GCF of Numerators as per given numbers 5087/472, 3872/1494 is
GCF of Numerators i.e. for 5087,3872 is 1
LCM of denominators i.e. for 472,1494 is 352584.
Thus, GCF of Fractions is 1/352584.Finally, GCF of Fractions for 5087/472, 3872/1494 is 1/352584.