GCF of 7240/487, 3776/8732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7240/487, 3776/8732 i.e 8/4252484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7240/487, 3776/8732.
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 7240/487,3776/8732?
Given fractions are 7240/487,3776/8732
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 7240/487,3776/8732, numerators are 7240,3776
Denominators are 487,8732
The GCF of 7240,3776 is 8 .
LCM of 487,8732 is 4252484.
The greatest common factor of 7240/487,3776/8732 = [GCF of 7240,3776]/[LCM of 487,8732]= 8/4252484
Therefore, the GCF of 7240/487,3776/8732 is 8/4252484.
To find the highest common factor of 7240,3776, we have to find the factors of both numbers and list the highest common factor.
The factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240
The factors of 3776 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776
The HCF of 7240,3776 is 8.
Lets's calculate GCF of 7240,3776
| 2 | 7240, 3776 |
| 2 | 3620, 1888 |
| 2 | 1810, 944 |
| 905, 472 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7240,3776 By Matching Biggest Common Factor Method
Now, list down the factors of 7240
:1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240
Now, list down the factors of 3776
:1,2,4,8,16,32,59,64,118,236,472,944,1888,3776
Greatest Common Factor
We found the factors 7240,3776 . The biggest common factor number is the GCF number.
So the greatest common factor 7240,3776 is 8.
Lets's calculate LCM of 487,8732
Given numbers has no common factors except 1. So, there LCM is their product i.e 4252484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4252484
Therefore, the GCF of Fractions 7240/487,3776/8732 is 8/4252484
Least Common Multiple of 487,8732 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 487,8732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,8732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,8732) x common factors =1 x 1 = 1
LCM(487,8732) = ( 487 × 8732 ) / 1
LCM(487,8732) = 4252484 / 1
LCM(487,8732) = 4252484
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FAQs on GCF of Fractions of 7240/487, 3776/8732
1. What is the HCF of 7240,3776?
The HCF of 7240,3776 is 8
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 7240/487, 3776/8732?
Answer: GCF of Numerators as per given numbers 7240/487, 3776/8732 is
GCF of Numerators i.e. for 7240,3776 is 8
LCM of denominators i.e. for 487,8732 is 4252484.
Thus, GCF of Fractions is 8/4252484.Finally, GCF of Fractions for 7240/487, 3776/8732 is 8/4252484.