Use our free GCF of Fractions Calculator tool to compute the GCF of 14/131, 74/2551 i.e 2/334181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/131, 74/2551.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/131,74/2551
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 14/131,74/2551, numerators are 14,74
Denominators are 131,2551
The GCF of 14,74 is 2 .
LCM of 131,2551 is 334181.
The greatest common factor of 14/131,74/2551 = [GCF of 14,74]/[LCM of 131,2551]= 2/334181
Therefore, the GCF of 14/131,74/2551 is 2/334181.
To find the highest common factor of 14,74, 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 74 are 1, 2, 37, 74
The HCF of 14,74 is 2.
Lets's calculate GCF of 14,74
2 | 14, 74 |
7, 37 |
∴ 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 74
:1,2,37,74
Greatest Common Factor
We found the factors 14,74 . The biggest common factor number is the GCF number.
So the greatest common factor 14,74 is 2.
Lets's calculate LCM of 131,2551
Given numbers has no common factors except 1. So, there LCM is their product i.e 334181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/334181
Therefore, the GCF of Fractions 14/131,74/2551 is 2/334181
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 131,2551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,2551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,2551) x common factors =1 x 1 = 1
LCM(131,2551) = ( 131 × 2551 ) / 1
LCM(131,2551) = 334181 / 1
LCM(131,2551) = 334181
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,74?
The HCF of 14,74 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 14/131, 74/2551?
Answer: GCF of Numerators as per given numbers 14/131, 74/2551 is
GCF of Numerators i.e. for 14,74 is 2
LCM of denominators i.e. for 131,2551 is 334181.
Thus, GCF of Fractions is 2/334181.Finally, GCF of Fractions for 14/131, 74/2551 is 2/334181.