Use our free GCF of Fractions Calculator tool to compute the GCF of 652/298, 134/308 i.e 2/45892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 652/298, 134/308.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 652/298,134/308
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 652/298,134/308, numerators are 652,134
Denominators are 298,308
The GCF of 652,134 is 2 .
LCM of 298,308 is 45892.
The greatest common factor of 652/298,134/308 = [GCF of 652,134]/[LCM of 298,308]= 2/45892
Therefore, the GCF of 652/298,134/308 is 2/45892.
To find the highest common factor of 652,134, we have to find the factors of both numbers and list the highest common factor.
The factors of 652 are 1, 2, 4, 163, 326, 652
The factors of 134 are 1, 2, 67, 134
The HCF of 652,134 is 2.
Lets's calculate GCF of 652,134
2 | 652, 134 |
326, 67 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 652
:1,2,4,163,326,652
Now, list down the factors of 134
:1,2,67,134
Greatest Common Factor
We found the factors 652,134 . The biggest common factor number is the GCF number.
So the greatest common factor 652,134 is 2.
Lets's calculate LCM of 298,308
2 | 298, 308 |
149, 154 |
∴ So the LCM of the given numbers is 2 x 149 x 154 = 45892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45892
Therefore, the GCF of Fractions 652/298,134/308 is 2/45892
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 298,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,308) x common factors =2 x 1 = 2
LCM(298,308) = ( 298 × 308 ) / 2
LCM(298,308) = 91784 / 2
LCM(298,308) = 45892
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 652,134?
The HCF of 652,134 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 652/298, 134/308?
Answer: GCF of Numerators as per given numbers 652/298, 134/308 is
GCF of Numerators i.e. for 652,134 is 2
LCM of denominators i.e. for 298,308 is 45892.
Thus, GCF of Fractions is 2/45892.Finally, GCF of Fractions for 652/298, 134/308 is 2/45892.