Use our free GCF of Fractions Calculator tool to compute the GCF of 7168/897, 2394/3639 i.e 14/1088061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7168/897, 2394/3639.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7168/897,2394/3639
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 7168/897,2394/3639, numerators are 7168,2394
Denominators are 897,3639
The GCF of 7168,2394 is 14 .
LCM of 897,3639 is 1088061.
The greatest common factor of 7168/897,2394/3639 = [GCF of 7168,2394]/[LCM of 897,3639]= 14/1088061
Therefore, the GCF of 7168/897,2394/3639 is 14/1088061.
To find the highest common factor of 7168,2394, we have to find the factors of both numbers and list the highest common factor.
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394
The HCF of 7168,2394 is 14.
Lets's calculate GCF of 7168,2394
2 | 7168, 2394 |
7 | 3584, 1197 |
512, 171 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Now, list down the factors of 2394
:1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394
Greatest Common Factor
We found the factors 7168,2394 . The biggest common factor number is the GCF number.
So the greatest common factor 7168,2394 is 14.
Lets's calculate LCM of 897,3639
3 | 897, 3639 |
299, 1213 |
∴ So the LCM of the given numbers is 3 x 299 x 1213 = 1088061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1088061
Therefore, the GCF of Fractions 7168/897,2394/3639 is 14/1088061
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 897,3639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,3639) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,3639) x common factors =3 x 1 = 3
LCM(897,3639) = ( 897 × 3639 ) / 3
LCM(897,3639) = 3264183 / 3
LCM(897,3639) = 1088061
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7168,2394?
The HCF of 7168,2394 is 14
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 7168/897, 2394/3639?
Answer: GCF of Numerators as per given numbers 7168/897, 2394/3639 is
GCF of Numerators i.e. for 7168,2394 is 14
LCM of denominators i.e. for 897,3639 is 1088061.
Thus, GCF of Fractions is 14/1088061.Finally, GCF of Fractions for 7168/897, 2394/3639 is 14/1088061.