Use our free GCF of Fractions Calculator tool to compute the GCF of 63/53, 348/89, 198/176 i.e 3/830192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/53, 348/89, 198/176.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/53,348/89,198/176
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 63/53,348/89,198/176, numerators are 63,348,198
Denominators are 53,89,176
The GCF of 63,348,198 is 3 .
LCM of 53,89,176 is 830192.
The greatest common factor of 63/53,348/89,198/176 = [GCF of 63,348,198]/[LCM of 53,89,176]= 3/830192
Therefore, the GCF of 63/53,348/89,198/176 is 3/830192.
To find the highest common factor of 63,348,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 63,348,198 is 3.
Lets's calculate GCF of 63,348,198
3 | 63, 348, 198 |
21, 116, 66 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 63,348,198 . The biggest common factor number is the GCF number.
So the greatest common factor 63,348,198 is 3.
Lets's calculate LCM of 53,89,176
Given numbers has no common factors except 1. So, there LCM is their product i.e 830192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/830192
Therefore, the GCF of Fractions 63/53,348/89,198/176 is 3/830192
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 53,89,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,89,176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,89,176) x common factors =1 x 1 = 1
LCM(53,89,176) = ( 53 × 89 × 176 ) / 1
LCM(53,89,176) = 830192 / 1
LCM(53,89,176) = 830192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,348,198?
The HCF of 63,348,198 is 3
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 63/53, 348/89, 198/176?
Answer: GCF of Numerators as per given numbers 63/53, 348/89, 198/176 is
GCF of Numerators i.e. for 63,348,198 is 3
LCM of denominators i.e. for 53,89,176 is 830192.
Thus, GCF of Fractions is 3/830192.Finally, GCF of Fractions for 63/53, 348/89, 198/176 is 3/830192.