Use our free GCF of Fractions Calculator tool to compute the GCF of 4927/496, 8284/6696 i.e 1/13392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4927/496, 8284/6696.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4927/496,8284/6696
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 4927/496,8284/6696, numerators are 4927,8284
Denominators are 496,6696
The GCF of 4927,8284 is 1 .
LCM of 496,6696 is 13392.
The greatest common factor of 4927/496,8284/6696 = [GCF of 4927,8284]/[LCM of 496,6696]= 1/13392
Therefore, the GCF of 4927/496,8284/6696 is 1/13392.
To find the highest common factor of 4927,8284, we have to find the factors of both numbers and list the highest common factor.
The factors of 4927 are 1, 13, 379, 4927
The factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284
The HCF of 4927,8284 is 1.
Lets's calculate GCF of 4927,8284
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4927
:1,13,379,4927
Now, list down the factors of 8284
:1,2,4,19,38,76,109,218,436,2071,4142,8284
Greatest Common Factor
We found the factors 4927,8284 . The biggest common factor number is the GCF number.
So the greatest common factor 4927,8284 is 1.
Lets's calculate LCM of 496,6696
2 | 496, 6696 |
2 | 248, 3348 |
2 | 124, 1674 |
31 | 62, 837 |
2, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 2 x 27 = 13392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13392
Therefore, the GCF of Fractions 4927/496,8284/6696 is 1/13392
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 496,6696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,6696) = 248
common factors(in case of two or more numbers have common factors) = 1
GCF(496,6696) x common factors =248 x 1 = 248
LCM(496,6696) = ( 496 × 6696 ) / 248
LCM(496,6696) = 3321216 / 248
LCM(496,6696) = 13392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4927,8284?
The HCF of 4927,8284 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 4927/496, 8284/6696?
Answer: GCF of Numerators as per given numbers 4927/496, 8284/6696 is
GCF of Numerators i.e. for 4927,8284 is 1
LCM of denominators i.e. for 496,6696 is 13392.
Thus, GCF of Fractions is 1/13392.Finally, GCF of Fractions for 4927/496, 8284/6696 is 1/13392.