Use our free GCF of Fractions Calculator tool to compute the GCF of 373/491, 617/460 i.e 1/225860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 373/491, 617/460.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 373/491,617/460
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 373/491,617/460, numerators are 373,617
Denominators are 491,460
The GCF of 373,617 is 1 .
LCM of 491,460 is 225860.
The greatest common factor of 373/491,617/460 = [GCF of 373,617]/[LCM of 491,460]= 1/225860
Therefore, the GCF of 373/491,617/460 is 1/225860.
To find the highest common factor of 373,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 373 are 1, 373
The factors of 617 are 1, 617
The HCF of 373,617 is 1.
Lets's calculate GCF of 373,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 373
:1,373
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 373,617 . The biggest common factor number is the GCF number.
So the greatest common factor 373,617 is 1.
Lets's calculate LCM of 491,460
Given numbers has no common factors except 1. So, there LCM is their product i.e 225860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225860
Therefore, the GCF of Fractions 373/491,617/460 is 1/225860
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 491,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,460) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,460) x common factors =1 x 1 = 1
LCM(491,460) = ( 491 × 460 ) / 1
LCM(491,460) = 225860 / 1
LCM(491,460) = 225860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 373,617?
The HCF of 373,617 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 373/491, 617/460?
Answer: GCF of Numerators as per given numbers 373/491, 617/460 is
GCF of Numerators i.e. for 373,617 is 1
LCM of denominators i.e. for 491,460 is 225860.
Thus, GCF of Fractions is 1/225860.Finally, GCF of Fractions for 373/491, 617/460 is 1/225860.