Use our free GCF of Fractions Calculator tool to compute the GCF of 14/52, 60/79, 60/553 i.e 2/28756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/52, 60/79, 60/553.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/52,60/79,60/553
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 14/52,60/79,60/553, numerators are 14,60,60
Denominators are 52,79,553
The GCF of 14,60,60 is 2 .
LCM of 52,79,553 is 28756.
The greatest common factor of 14/52,60/79,60/553 = [GCF of 14,60,60]/[LCM of 52,79,553]= 2/28756
Therefore, the GCF of 14/52,60/79,60/553 is 2/28756.
To find the highest common factor of 14,60,60, 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 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The HCF of 14,60,60 is 2.
Lets's calculate GCF of 14,60,60
2 | 14, 60, 60 |
7, 30, 30 |
∴ 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 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors 14,60,60 . The biggest common factor number is the GCF number.
So the greatest common factor 14,60,60 is 2.
Lets's calculate LCM of 52,79,553
79 | 52, 79, 553 |
52, 1, 7 |
∴ So the LCM of the given numbers is 79 x 52 x 1 x 7 = 28756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28756
Therefore, the GCF of Fractions 14/52,60/79,60/553 is 2/28756
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 52,79,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,79,553) = 1
common factors(in case of two or more numbers have common factors) = 79
GCF(52,79,553) x common factors =1 x 79 = 79
LCM(52,79,553) = ( 52 × 79 × 553 ) / 79
LCM(52,79,553) = 2271724 / 79
LCM(52,79,553) = 28756
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,60,60?
The HCF of 14,60,60 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 14/52, 60/79, 60/553?
Answer: GCF of Numerators as per given numbers 14/52, 60/79, 60/553 is
GCF of Numerators i.e. for 14,60,60 is 2
LCM of denominators i.e. for 52,79,553 is 28756.
Thus, GCF of Fractions is 2/28756.Finally, GCF of Fractions for 14/52, 60/79, 60/553 is 2/28756.