Use our free GCF of Fractions Calculator tool to compute the GCF of 996/14, 884/1376 i.e 4/9632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/14, 884/1376.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/14,884/1376
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 996/14,884/1376, numerators are 996,884
Denominators are 14,1376
The GCF of 996,884 is 4 .
LCM of 14,1376 is 9632.
The greatest common factor of 996/14,884/1376 = [GCF of 996,884]/[LCM of 14,1376]= 4/9632
Therefore, the GCF of 996/14,884/1376 is 4/9632.
To find the highest common factor of 996,884, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The HCF of 996,884 is 4.
Lets's calculate GCF of 996,884
2 | 996, 884 |
2 | 498, 442 |
249, 221 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 996,884 . The biggest common factor number is the GCF number.
So the greatest common factor 996,884 is 4.
Lets's calculate LCM of 14,1376
2 | 14, 1376 |
7, 688 |
∴ So the LCM of the given numbers is 2 x 7 x 688 = 9632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9632
Therefore, the GCF of Fractions 996/14,884/1376 is 4/9632
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 14,1376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,1376) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,1376) x common factors =2 x 1 = 2
LCM(14,1376) = ( 14 × 1376 ) / 2
LCM(14,1376) = 19264 / 2
LCM(14,1376) = 9632
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 996,884?
The HCF of 996,884 is 4
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 996/14, 884/1376?
Answer: GCF of Numerators as per given numbers 996/14, 884/1376 is
GCF of Numerators i.e. for 996,884 is 4
LCM of denominators i.e. for 14,1376 is 9632.
Thus, GCF of Fractions is 4/9632.Finally, GCF of Fractions for 996/14, 884/1376 is 4/9632.