Use our free GCF of Fractions Calculator tool to compute the GCF of 251/310, 278/276 i.e 1/42780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 251/310, 278/276.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 251/310,278/276
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 251/310,278/276, numerators are 251,278
Denominators are 310,276
The GCF of 251,278 is 1 .
LCM of 310,276 is 42780.
The greatest common factor of 251/310,278/276 = [GCF of 251,278]/[LCM of 310,276]= 1/42780
Therefore, the GCF of 251/310,278/276 is 1/42780.
To find the highest common factor of 251,278, we have to find the factors of both numbers and list the highest common factor.
The factors of 251 are 1, 251
The factors of 278 are 1, 2, 139, 278
The HCF of 251,278 is 1.
Lets's calculate GCF of 251,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 251
:1,251
Now, list down the factors of 278
:1,2,139,278
Greatest Common Factor
We found the factors 251,278 . The biggest common factor number is the GCF number.
So the greatest common factor 251,278 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 251/310,278/276 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 251,278?
The HCF of 251,278 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 251/310, 278/276?
Answer: GCF of Numerators as per given numbers 251/310, 278/276 is
GCF of Numerators i.e. for 251,278 is 1
LCM of denominators i.e. for 310,276 is 42780.
Thus, GCF of Fractions is 1/42780.Finally, GCF of Fractions for 251/310, 278/276 is 1/42780.