Use our free GCF of Fractions Calculator tool to compute the GCF of 310/130, 270/941 i.e 10/122330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/130, 270/941.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 310/130,270/941
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 310/130,270/941, numerators are 310,270
Denominators are 130,941
The GCF of 310,270 is 10 .
LCM of 130,941 is 122330.
The greatest common factor of 310/130,270/941 = [GCF of 310,270]/[LCM of 130,941]= 10/122330
Therefore, the GCF of 310/130,270/941 is 10/122330.
To find the highest common factor of 310,270, we have to find the factors of both numbers and list the highest common factor.
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 310,270 is 10.
Lets's calculate GCF of 310,270
2 | 310, 270 |
5 | 155, 135 |
31, 27 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 310,270 . The biggest common factor number is the GCF number.
So the greatest common factor 310,270 is 10.
Lets's calculate LCM of 130,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 122330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/122330
Therefore, the GCF of Fractions 310/130,270/941 is 10/122330
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 130,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,941) x common factors =1 x 1 = 1
LCM(130,941) = ( 130 × 941 ) / 1
LCM(130,941) = 122330 / 1
LCM(130,941) = 122330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 310,270?
The HCF of 310,270 is 10
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 310/130, 270/941?
Answer: GCF of Numerators as per given numbers 310/130, 270/941 is
GCF of Numerators i.e. for 310,270 is 10
LCM of denominators i.e. for 130,941 is 122330.
Thus, GCF of Fractions is 10/122330.Finally, GCF of Fractions for 310/130, 270/941 is 10/122330.