Use our free GCF of Fractions Calculator tool to compute the GCF of 474/817, 251/310 i.e 1/253270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 474/817, 251/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 474/817,251/310
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 474/817,251/310, numerators are 474,251
Denominators are 817,310
The GCF of 474,251 is 1 .
LCM of 817,310 is 253270.
The greatest common factor of 474/817,251/310 = [GCF of 474,251]/[LCM of 817,310]= 1/253270
Therefore, the GCF of 474/817,251/310 is 1/253270.
To find the highest common factor of 474,251, we have to find the factors of both numbers and list the highest common factor.
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The factors of 251 are 1, 251
The HCF of 474,251 is 1.
Lets's calculate GCF of 474,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Now, list down the factors of 251
:1,251
Greatest Common Factor
We found the factors 474,251 . The biggest common factor number is the GCF number.
So the greatest common factor 474,251 is 1.
Lets's calculate LCM of 817,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 253270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253270
Therefore, the GCF of Fractions 474/817,251/310 is 1/253270
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 817,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,310) x common factors =1 x 1 = 1
LCM(817,310) = ( 817 × 310 ) / 1
LCM(817,310) = 253270 / 1
LCM(817,310) = 253270
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 474,251?
The HCF of 474,251 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 474/817, 251/310?
Answer: GCF of Numerators as per given numbers 474/817, 251/310 is
GCF of Numerators i.e. for 474,251 is 1
LCM of denominators i.e. for 817,310 is 253270.
Thus, GCF of Fractions is 1/253270.Finally, GCF of Fractions for 474/817, 251/310 is 1/253270.