Use our free GCF of Fractions Calculator tool to compute the GCF of 376/222, 7311/312 i.e 1/11544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 376/222, 7311/312.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/222,7311/312
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 376/222,7311/312, numerators are 376,7311
Denominators are 222,312
The GCF of 376,7311 is 1 .
LCM of 222,312 is 11544.
The greatest common factor of 376/222,7311/312 = [GCF of 376,7311]/[LCM of 222,312]= 1/11544
Therefore, the GCF of 376/222,7311/312 is 1/11544.
To find the highest common factor of 376,7311, we have to find the factors of both numbers and list the highest common factor.
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376
The factors of 7311 are 1, 3, 2437, 7311
The HCF of 376,7311 is 1.
Lets's calculate GCF of 376,7311
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 376
:1,2,4,8,47,94,188,376
Now, list down the factors of 7311
:1,3,2437,7311
Greatest Common Factor
We found the factors 376,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 376,7311 is 1.
Lets's calculate LCM of 222,312
2 | 222, 312 |
3 | 111, 156 |
37, 52 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 52 = 11544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11544
Therefore, the GCF of Fractions 376/222,7311/312 is 1/11544
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 222,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,312) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(222,312) x common factors =6 x 1 = 6
LCM(222,312) = ( 222 × 312 ) / 6
LCM(222,312) = 69264 / 6
LCM(222,312) = 11544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 376,7311?
The HCF of 376,7311 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 376/222, 7311/312?
Answer: GCF of Numerators as per given numbers 376/222, 7311/312 is
GCF of Numerators i.e. for 376,7311 is 1
LCM of denominators i.e. for 222,312 is 11544.
Thus, GCF of Fractions is 1/11544.Finally, GCF of Fractions for 376/222, 7311/312 is 1/11544.