Use our free GCF of Fractions Calculator tool to compute the GCF of 235/310, 492/276 i.e 1/42780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 235/310, 492/276.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 235/310,492/276
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 235/310,492/276, numerators are 235,492
Denominators are 310,276
The GCF of 235,492 is 1 .
LCM of 310,276 is 42780.
The greatest common factor of 235/310,492/276 = [GCF of 235,492]/[LCM of 310,276]= 1/42780
Therefore, the GCF of 235/310,492/276 is 1/42780.
To find the highest common factor of 235,492, we have to find the factors of both numbers and list the highest common factor.
The factors of 235 are 1, 5, 47, 235
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The HCF of 235,492 is 1.
Lets's calculate GCF of 235,492
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 235
:1,5,47,235
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 235,492 . The biggest common factor number is the GCF number.
So the greatest common factor 235,492 is 1.
Lets's calculate LCM of 310,276
2 | 310, 276 |
155, 138 |
∴ So the LCM of the given numbers is 2 x 155 x 138 = 42780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42780
Therefore, the GCF of Fractions 235/310,492/276 is 1/42780
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 310,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,276) x common factors =2 x 1 = 2
LCM(310,276) = ( 310 × 276 ) / 2
LCM(310,276) = 85560 / 2
LCM(310,276) = 42780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 235,492?
The HCF of 235,492 is 1
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 235/310, 492/276?
Answer: GCF of Numerators as per given numbers 235/310, 492/276 is
GCF of Numerators i.e. for 235,492 is 1
LCM of denominators i.e. for 310,276 is 42780.
Thus, GCF of Fractions is 1/42780.Finally, GCF of Fractions for 235/310, 492/276 is 1/42780.