Use our free GCF of Fractions Calculator tool to compute the GCF of 878/136, 112/274 i.e 2/18632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/136, 112/274.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/136,112/274
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 878/136,112/274, numerators are 878,112
Denominators are 136,274
The GCF of 878,112 is 2 .
LCM of 136,274 is 18632.
The greatest common factor of 878/136,112/274 = [GCF of 878,112]/[LCM of 136,274]= 2/18632
Therefore, the GCF of 878/136,112/274 is 2/18632.
To find the highest common factor of 878,112, 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 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The HCF of 878,112 is 2.
Lets's calculate GCF of 878,112
2 | 878, 112 |
439, 56 |
∴ 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 112
:1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 878,112 . The biggest common factor number is the GCF number.
So the greatest common factor 878,112 is 2.
Lets's calculate LCM of 136,274
2 | 136, 274 |
68, 137 |
∴ So the LCM of the given numbers is 2 x 68 x 137 = 18632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18632
Therefore, the GCF of Fractions 878/136,112/274 is 2/18632
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 136,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(136,274) x common factors =2 x 1 = 2
LCM(136,274) = ( 136 × 274 ) / 2
LCM(136,274) = 37264 / 2
LCM(136,274) = 18632
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 878,112?
The HCF of 878,112 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 878/136, 112/274?
Answer: GCF of Numerators as per given numbers 878/136, 112/274 is
GCF of Numerators i.e. for 878,112 is 2
LCM of denominators i.e. for 136,274 is 18632.
Thus, GCF of Fractions is 2/18632.Finally, GCF of Fractions for 878/136, 112/274 is 2/18632.