Use our free GCF of Fractions Calculator tool to compute the GCF of 348/176, 280/671 i.e 4/10736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/176, 280/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/176,280/671
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 348/176,280/671, numerators are 348,280
Denominators are 176,671
The GCF of 348,280 is 4 .
LCM of 176,671 is 10736.
The greatest common factor of 348/176,280/671 = [GCF of 348,280]/[LCM of 176,671]= 4/10736
Therefore, the GCF of 348/176,280/671 is 4/10736.
To find the highest common factor of 348,280, 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 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 348,280 is 4.
Lets's calculate GCF of 348,280
2 | 348, 280 |
2 | 174, 140 |
87, 70 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 348,280 . The biggest common factor number is the GCF number.
So the greatest common factor 348,280 is 4.
Lets's calculate LCM of 176,671
11 | 176, 671 |
16, 61 |
∴ So the LCM of the given numbers is 11 x 16 x 61 = 10736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10736
Therefore, the GCF of Fractions 348/176,280/671 is 4/10736
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 176,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,671) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(176,671) x common factors =11 x 1 = 11
LCM(176,671) = ( 176 × 671 ) / 11
LCM(176,671) = 118096 / 11
LCM(176,671) = 10736
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 348,280?
The HCF of 348,280 is 4
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 348/176, 280/671?
Answer: GCF of Numerators as per given numbers 348/176, 280/671 is
GCF of Numerators i.e. for 348,280 is 4
LCM of denominators i.e. for 176,671 is 10736.
Thus, GCF of Fractions is 4/10736.Finally, GCF of Fractions for 348/176, 280/671 is 4/10736.