Use our free GCF of Fractions Calculator tool to compute the GCF of 878/176, 138/292 i.e 2/12848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/176, 138/292.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/176,138/292
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 878/176,138/292, numerators are 878,138
Denominators are 176,292
The GCF of 878,138 is 2 .
LCM of 176,292 is 12848.
The greatest common factor of 878/176,138/292 = [GCF of 878,138]/[LCM of 176,292]= 2/12848
Therefore, the GCF of 878/176,138/292 is 2/12848.
To find the highest common factor of 878,138, we have to find the factors of both numbers and list the highest common factor.
The factors of 878 are 1, 2, 439, 878
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 878,138 is 2.
Lets's calculate GCF of 878,138
2 | 878, 138 |
439, 69 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 878,138 . The biggest common factor number is the GCF number.
So the greatest common factor 878,138 is 2.
Lets's calculate LCM of 176,292
2 | 176, 292 |
2 | 88, 146 |
44, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 44 x 73 = 12848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12848
Therefore, the GCF of Fractions 878/176,138/292 is 2/12848
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 176,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(176,292) x common factors =4 x 1 = 4
LCM(176,292) = ( 176 × 292 ) / 4
LCM(176,292) = 51392 / 4
LCM(176,292) = 12848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 878,138?
The HCF of 878,138 is 2
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 878/176, 138/292?
Answer: GCF of Numerators as per given numbers 878/176, 138/292 is
GCF of Numerators i.e. for 878,138 is 2
LCM of denominators i.e. for 176,292 is 12848.
Thus, GCF of Fractions is 2/12848.Finally, GCF of Fractions for 878/176, 138/292 is 2/12848.