Use our free GCF of Fractions Calculator tool to compute the GCF of 348/24, 377/736 i.e 29/2208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/24, 377/736.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/24,377/736
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 348/24,377/736, numerators are 348,377
Denominators are 24,736
The GCF of 348,377 is 29 .
LCM of 24,736 is 2208.
The greatest common factor of 348/24,377/736 = [GCF of 348,377]/[LCM of 24,736]= 29/2208
Therefore, the GCF of 348/24,377/736 is 29/2208.
To find the highest common factor of 348,377, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 377 are 1, 13, 29, 377
The HCF of 348,377 is 29.
Lets's calculate GCF of 348,377
29 | 348, 377 |
12, 13 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 377
:1,13,29,377
Greatest Common Factor
We found the factors 348,377 . The biggest common factor number is the GCF number.
So the greatest common factor 348,377 is 29.
Lets's calculate LCM of 24,736
2 | 24, 736 |
2 | 12, 368 |
2 | 6, 184 |
3, 92 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 92 = 2208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/2208
Therefore, the GCF of Fractions 348/24,377/736 is 29/2208
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 24,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,736) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(24,736) x common factors =8 x 1 = 8
LCM(24,736) = ( 24 × 736 ) / 8
LCM(24,736) = 17664 / 8
LCM(24,736) = 2208
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 348,377?
The HCF of 348,377 is 29
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 348/24, 377/736?
Answer: GCF of Numerators as per given numbers 348/24, 377/736 is
GCF of Numerators i.e. for 348,377 is 29
LCM of denominators i.e. for 24,736 is 2208.
Thus, GCF of Fractions is 29/2208.Finally, GCF of Fractions for 348/24, 377/736 is 29/2208.