Use our free GCF of Fractions Calculator tool to compute the GCF of 14/221, 272/341, 334/302 i.e 2/22759022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/221, 272/341, 334/302.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/221,272/341,334/302
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 14/221,272/341,334/302, numerators are 14,272,334
Denominators are 221,341,302
The GCF of 14,272,334 is 2 .
LCM of 221,341,302 is 22759022.
The greatest common factor of 14/221,272/341,334/302 = [GCF of 14,272,334]/[LCM of 221,341,302]= 2/22759022
Therefore, the GCF of 14/221,272/341,334/302 is 2/22759022.
To find the highest common factor of 14,272,334, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The factors of 334 are 1, 2, 167, 334
The HCF of 14,272,334 is 2.
Lets's calculate GCF of 14,272,334
2 | 14, 272, 334 |
7, 136, 167 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 272
:1,2,4,8,16,17,34,68,136,272
Now, list down the factors of 334
:1,2,167,334
Greatest Common Factor
We found the factors 14,272,334 . The biggest common factor number is the GCF number.
So the greatest common factor 14,272,334 is 2.
Lets's calculate LCM of 221,341,302
Given numbers has no common factors except 1. So, there LCM is their product i.e 22759022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22759022
Therefore, the GCF of Fractions 14/221,272/341,334/302 is 2/22759022
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 221,341,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,341,302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,341,302) x common factors =1 x 1 = 1
LCM(221,341,302) = ( 221 × 341 × 302 ) / 1
LCM(221,341,302) = 22759022 / 1
LCM(221,341,302) = 22759022
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,272,334?
The HCF of 14,272,334 is 2
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 14/221, 272/341, 334/302?
Answer: GCF of Numerators as per given numbers 14/221, 272/341, 334/302 is
GCF of Numerators i.e. for 14,272,334 is 2
LCM of denominators i.e. for 221,341,302 is 22759022.
Thus, GCF of Fractions is 2/22759022.Finally, GCF of Fractions for 14/221, 272/341, 334/302 is 2/22759022.