Use our free GCF of Fractions Calculator tool to compute the GCF of 14/801, 49/3204 i.e 7/3204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/801, 49/3204.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/801,49/3204
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 14/801,49/3204, numerators are 14,49
Denominators are 801,3204
The GCF of 14,49 is 7 .
LCM of 801,3204 is 3204.
The greatest common factor of 14/801,49/3204 = [GCF of 14,49]/[LCM of 801,3204]= 7/3204
Therefore, the GCF of 14/801,49/3204 is 7/3204.
To find the highest common factor of 14,49, 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 49 are 1, 7, 49
The HCF of 14,49 is 7.
Lets's calculate GCF of 14,49
7 | 14, 49 |
2, 7 |
∴ So the GCF of the given numbers is 7 = 7
Lets's calculate LCM of 801,3204
3 | 801, 3204 |
3 | 267, 1068 |
89 | 89, 356 |
1, 4 |
∴ So the LCM of the given numbers is 3 x 3 x 89 x 1 x 4 = 3204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3204
Therefore, the GCF of Fractions 14/801,49/3204 is 7/3204
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 801,3204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,3204) = 801
common factors(in case of two or more numbers have common factors) = 1
GCF(801,3204) x common factors =801 x 1 = 801
LCM(801,3204) = ( 801 × 3204 ) / 801
LCM(801,3204) = 2566404 / 801
LCM(801,3204) = 3204
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,49?
The HCF of 14,49 is 7
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 14/801, 49/3204?
Answer: GCF of Numerators as per given numbers 14/801, 49/3204 is
GCF of Numerators i.e. for 14,49 is 7
LCM of denominators i.e. for 801,3204 is 3204.
Thus, GCF of Fractions is 7/3204.Finally, GCF of Fractions for 14/801, 49/3204 is 7/3204.