GCF of 8832/246, 6481/2535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8832/246, 6481/2535 i.e 1/207870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8832/246, 6481/2535.
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 8832/246,6481/2535?
Given fractions are 8832/246,6481/2535
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 8832/246,6481/2535, numerators are 8832,6481
Denominators are 246,2535
The GCF of 8832,6481 is 1 .
LCM of 246,2535 is 207870.
The greatest common factor of 8832/246,6481/2535 = [GCF of 8832,6481]/[LCM of 246,2535]= 1/207870
Therefore, the GCF of 8832/246,6481/2535 is 1/207870.
To find the highest common factor of 8832,6481, we have to find the factors of both numbers and list the highest common factor.
The factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832
The factors of 6481 are 1, 6481
The HCF of 8832,6481 is 1.
Lets's calculate GCF of 8832,6481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8832,6481 By Matching Biggest Common Factor Method
Now, list down the factors of 8832
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832
Now, list down the factors of 6481
:1,6481
Greatest Common Factor
We found the factors 8832,6481 . The biggest common factor number is the GCF number.
So the greatest common factor 8832,6481 is 1.
Lets's calculate LCM of 246,2535
| 3 | 246, 2535 |
| 82, 845 |
∴ So the LCM of the given numbers is 3 x 82 x 845 = 207870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207870
Therefore, the GCF of Fractions 8832/246,6481/2535 is 1/207870
Least Common Multiple of 246,2535 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 246,2535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,2535) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(246,2535) x common factors =3 x 1 = 3
LCM(246,2535) = ( 246 × 2535 ) / 3
LCM(246,2535) = 623610 / 3
LCM(246,2535) = 207870
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FAQs on GCF of Fractions of 8832/246, 6481/2535
1. What is the HCF of 8832,6481?
The HCF of 8832,6481 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 8832/246, 6481/2535?
Answer: GCF of Numerators as per given numbers 8832/246, 6481/2535 is
GCF of Numerators i.e. for 8832,6481 is 1
LCM of denominators i.e. for 246,2535 is 207870.
Thus, GCF of Fractions is 1/207870.Finally, GCF of Fractions for 8832/246, 6481/2535 is 1/207870.