Use our free GCF of Fractions Calculator tool to compute the GCF of 548/390, 170/786 i.e 2/51090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/390, 170/786.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/390,170/786
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 548/390,170/786, numerators are 548,170
Denominators are 390,786
The GCF of 548,170 is 2 .
LCM of 390,786 is 51090.
The greatest common factor of 548/390,170/786 = [GCF of 548,170]/[LCM of 390,786]= 2/51090
Therefore, the GCF of 548/390,170/786 is 2/51090.
To find the highest common factor of 548,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 548,170 is 2.
Lets's calculate GCF of 548,170
2 | 548, 170 |
274, 85 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 548,170 . The biggest common factor number is the GCF number.
So the greatest common factor 548,170 is 2.
Lets's calculate LCM of 390,786
2 | 390, 786 |
3 | 195, 393 |
65, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 65 x 131 = 51090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51090
Therefore, the GCF of Fractions 548/390,170/786 is 2/51090
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 390,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,786) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(390,786) x common factors =6 x 1 = 6
LCM(390,786) = ( 390 × 786 ) / 6
LCM(390,786) = 306540 / 6
LCM(390,786) = 51090
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 548,170?
The HCF of 548,170 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 548/390, 170/786?
Answer: GCF of Numerators as per given numbers 548/390, 170/786 is
GCF of Numerators i.e. for 548,170 is 2
LCM of denominators i.e. for 390,786 is 51090.
Thus, GCF of Fractions is 2/51090.Finally, GCF of Fractions for 548/390, 170/786 is 2/51090.