Use our free GCF of Fractions Calculator tool to compute the GCF of 2744/738, 4736/8446 i.e 8/76014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2744/738, 4736/8446.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2744/738,4736/8446
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 2744/738,4736/8446, numerators are 2744,4736
Denominators are 738,8446
The GCF of 2744,4736 is 8 .
LCM of 738,8446 is 76014.
The greatest common factor of 2744/738,4736/8446 = [GCF of 2744,4736]/[LCM of 738,8446]= 8/76014
Therefore, the GCF of 2744/738,4736/8446 is 8/76014.
To find the highest common factor of 2744,4736, we have to find the factors of both numbers and list the highest common factor.
The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744
The factors of 4736 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736
The HCF of 2744,4736 is 8.
Lets's calculate GCF of 2744,4736
2 | 2744, 4736 |
2 | 1372, 2368 |
2 | 686, 1184 |
343, 592 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 2744
:1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744
Now, list down the factors of 4736
:1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736
Greatest Common Factor
We found the factors 2744,4736 . The biggest common factor number is the GCF number.
So the greatest common factor 2744,4736 is 8.
Lets's calculate LCM of 738,8446
2 | 738, 8446 |
41 | 369, 4223 |
9, 103 |
∴ So the LCM of the given numbers is 2 x 41 x 9 x 103 = 76014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/76014
Therefore, the GCF of Fractions 2744/738,4736/8446 is 8/76014
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 738,8446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,8446) = 82
common factors(in case of two or more numbers have common factors) = 1
GCF(738,8446) x common factors =82 x 1 = 82
LCM(738,8446) = ( 738 × 8446 ) / 82
LCM(738,8446) = 6233148 / 82
LCM(738,8446) = 76014
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2744,4736?
The HCF of 2744,4736 is 8
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 2744/738, 4736/8446?
Answer: GCF of Numerators as per given numbers 2744/738, 4736/8446 is
GCF of Numerators i.e. for 2744,4736 is 8
LCM of denominators i.e. for 738,8446 is 76014.
Thus, GCF of Fractions is 8/76014.Finally, GCF of Fractions for 2744/738, 4736/8446 is 8/76014.