Use our free GCF of Fractions Calculator tool to compute the GCF of 264/348, 276/372 i.e 12/10788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 264/348, 276/372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 264/348,276/372
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 264/348,276/372, numerators are 264,276
Denominators are 348,372
The GCF of 264,276 is 12 .
LCM of 348,372 is 10788.
The greatest common factor of 264/348,276/372 = [GCF of 264,276]/[LCM of 348,372]= 12/10788
Therefore, the GCF of 264/348,276/372 is 12/10788.
To find the highest common factor of 264,276, we have to find the factors of both numbers and list the highest common factor.
The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 264,276 is 12.
Lets's calculate GCF of 264,276
2 | 264, 276 |
2 | 132, 138 |
3 | 66, 69 |
22, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 264
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 264,276 . The biggest common factor number is the GCF number.
So the greatest common factor 264,276 is 12.
Lets's calculate LCM of 348,372
2 | 348, 372 |
2 | 174, 186 |
3 | 87, 93 |
29, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 31 = 10788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/10788
Therefore, the GCF of Fractions 264/348,276/372 is 12/10788
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 348,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,372) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(348,372) x common factors =12 x 1 = 12
LCM(348,372) = ( 348 × 372 ) / 12
LCM(348,372) = 129456 / 12
LCM(348,372) = 10788
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 264,276?
The HCF of 264,276 is 12
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 264/348, 276/372?
Answer: GCF of Numerators as per given numbers 264/348, 276/372 is
GCF of Numerators i.e. for 264,276 is 12
LCM of denominators i.e. for 348,372 is 10788.
Thus, GCF of Fractions is 12/10788.Finally, GCF of Fractions for 264/348, 276/372 is 12/10788.