Use our free GCF of Fractions Calculator tool to compute the GCF of 148/70, 510/358 i.e 2/12530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 148/70, 510/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 148/70,510/358
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 148/70,510/358, numerators are 148,510
Denominators are 70,358
The GCF of 148,510 is 2 .
LCM of 70,358 is 12530.
The greatest common factor of 148/70,510/358 = [GCF of 148,510]/[LCM of 70,358]= 2/12530
Therefore, the GCF of 148/70,510/358 is 2/12530.
To find the highest common factor of 148,510, we have to find the factors of both numbers and list the highest common factor.
The factors of 148 are 1, 2, 4, 37, 74, 148
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 148,510 is 2.
Lets's calculate GCF of 148,510
2 | 148, 510 |
74, 255 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 148
:1,2,4,37,74,148
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 148,510 . The biggest common factor number is the GCF number.
So the greatest common factor 148,510 is 2.
Lets's calculate LCM of 70,358
2 | 70, 358 |
35, 179 |
∴ So the LCM of the given numbers is 2 x 35 x 179 = 12530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12530
Therefore, the GCF of Fractions 148/70,510/358 is 2/12530
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 70,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,358) x common factors =2 x 1 = 2
LCM(70,358) = ( 70 × 358 ) / 2
LCM(70,358) = 25060 / 2
LCM(70,358) = 12530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 148,510?
The HCF of 148,510 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 148/70, 510/358?
Answer: GCF of Numerators as per given numbers 148/70, 510/358 is
GCF of Numerators i.e. for 148,510 is 2
LCM of denominators i.e. for 70,358 is 12530.
Thus, GCF of Fractions is 2/12530.Finally, GCF of Fractions for 148/70, 510/358 is 2/12530.