Use our free GCF of Fractions Calculator tool to compute the GCF of 114/237, 319/372 i.e 1/29388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 114/237, 319/372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 114/237,319/372
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 114/237,319/372, numerators are 114,319
Denominators are 237,372
The GCF of 114,319 is 1 .
LCM of 237,372 is 29388.
The greatest common factor of 114/237,319/372 = [GCF of 114,319]/[LCM of 237,372]= 1/29388
Therefore, the GCF of 114/237,319/372 is 1/29388.
To find the highest common factor of 114,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The factors of 319 are 1, 11, 29, 319
The HCF of 114,319 is 1.
Lets's calculate GCF of 114,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 114,319 . The biggest common factor number is the GCF number.
So the greatest common factor 114,319 is 1.
Lets's calculate LCM of 237,372
3 | 237, 372 |
79, 124 |
∴ So the LCM of the given numbers is 3 x 79 x 124 = 29388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29388
Therefore, the GCF of Fractions 114/237,319/372 is 1/29388
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 237,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,372) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(237,372) x common factors =3 x 1 = 3
LCM(237,372) = ( 237 × 372 ) / 3
LCM(237,372) = 88164 / 3
LCM(237,372) = 29388
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 114,319?
The HCF of 114,319 is 1
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 114/237, 319/372?
Answer: GCF of Numerators as per given numbers 114/237, 319/372 is
GCF of Numerators i.e. for 114,319 is 1
LCM of denominators i.e. for 237,372 is 29388.
Thus, GCF of Fractions is 1/29388.Finally, GCF of Fractions for 114/237, 319/372 is 1/29388.