Use our free GCF of Fractions Calculator tool to compute the GCF of 3927/527, 4828/2370 i.e 17/1248990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3927/527, 4828/2370.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3927/527,4828/2370
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 3927/527,4828/2370, numerators are 3927,4828
Denominators are 527,2370
The GCF of 3927,4828 is 17 .
LCM of 527,2370 is 1248990.
The greatest common factor of 3927/527,4828/2370 = [GCF of 3927,4828]/[LCM of 527,2370]= 17/1248990
Therefore, the GCF of 3927/527,4828/2370 is 17/1248990.
To find the highest common factor of 3927,4828, we have to find the factors of both numbers and list the highest common factor.
The factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927
The factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828
The HCF of 3927,4828 is 17.
Lets's calculate GCF of 3927,4828
17 | 3927, 4828 |
231, 284 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 3927
:1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927
Now, list down the factors of 4828
:1,2,4,17,34,68,71,142,284,1207,2414,4828
Greatest Common Factor
We found the factors 3927,4828 . The biggest common factor number is the GCF number.
So the greatest common factor 3927,4828 is 17.
Lets's calculate LCM of 527,2370
Given numbers has no common factors except 1. So, there LCM is their product i.e 1248990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1248990
Therefore, the GCF of Fractions 3927/527,4828/2370 is 17/1248990
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 527,2370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,2370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,2370) x common factors =1 x 1 = 1
LCM(527,2370) = ( 527 × 2370 ) / 1
LCM(527,2370) = 1248990 / 1
LCM(527,2370) = 1248990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3927,4828?
The HCF of 3927,4828 is 17
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 3927/527, 4828/2370?
Answer: GCF of Numerators as per given numbers 3927/527, 4828/2370 is
GCF of Numerators i.e. for 3927,4828 is 17
LCM of denominators i.e. for 527,2370 is 1248990.
Thus, GCF of Fractions is 17/1248990.Finally, GCF of Fractions for 3927/527, 4828/2370 is 17/1248990.