GCF of 8718/648, 4634/4856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8718/648, 4634/4856 i.e 2/393336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8718/648, 4634/4856.
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 8718/648,4634/4856?
Given fractions are 8718/648,4634/4856
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 8718/648,4634/4856, numerators are 8718,4634
Denominators are 648,4856
The GCF of 8718,4634 is 2 .
LCM of 648,4856 is 393336.
The greatest common factor of 8718/648,4634/4856 = [GCF of 8718,4634]/[LCM of 648,4856]= 2/393336
Therefore, the GCF of 8718/648,4634/4856 is 2/393336.
To find the highest common factor of 8718,4634, we have to find the factors of both numbers and list the highest common factor.
The factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718
The factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634
The HCF of 8718,4634 is 2.
Lets's calculate GCF of 8718,4634
| 2 | 8718, 4634 |
| 4359, 2317 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8718,4634 By Matching Biggest Common Factor Method
Now, list down the factors of 8718
:1,2,3,6,1453,2906,4359,8718
Now, list down the factors of 4634
:1,2,7,14,331,662,2317,4634
Greatest Common Factor
We found the factors 8718,4634 . The biggest common factor number is the GCF number.
So the greatest common factor 8718,4634 is 2.
Lets's calculate LCM of 648,4856
| 2 | 648, 4856 |
| 2 | 324, 2428 |
| 2 | 162, 1214 |
| 81, 607 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 607 = 393336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/393336
Therefore, the GCF of Fractions 8718/648,4634/4856 is 2/393336
Least Common Multiple of 648,4856 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 648,4856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,4856) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(648,4856) x common factors =8 x 1 = 8
LCM(648,4856) = ( 648 × 4856 ) / 8
LCM(648,4856) = 3146688 / 8
LCM(648,4856) = 393336
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FAQs on GCF of Fractions of 8718/648, 4634/4856
1. What is the HCF of 8718,4634?
The HCF of 8718,4634 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 8718/648, 4634/4856?
Answer: GCF of Numerators as per given numbers 8718/648, 4634/4856 is
GCF of Numerators i.e. for 8718,4634 is 2
LCM of denominators i.e. for 648,4856 is 393336.
Thus, GCF of Fractions is 2/393336.Finally, GCF of Fractions for 8718/648, 4634/4856 is 2/393336.