Use our free GCF of Fractions Calculator tool to compute the GCF of 498/813, 907/618 i.e 1/167478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 498/813, 907/618.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 498/813,907/618
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 498/813,907/618, numerators are 498,907
Denominators are 813,618
The GCF of 498,907 is 1 .
LCM of 813,618 is 167478.
The greatest common factor of 498/813,907/618 = [GCF of 498,907]/[LCM of 813,618]= 1/167478
Therefore, the GCF of 498/813,907/618 is 1/167478.
To find the highest common factor of 498,907, we have to find the factors of both numbers and list the highest common factor.
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The factors of 907 are 1, 907
The HCF of 498,907 is 1.
Lets's calculate GCF of 498,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Now, list down the factors of 907
:1,907
Greatest Common Factor
We found the factors 498,907 . The biggest common factor number is the GCF number.
So the greatest common factor 498,907 is 1.
Lets's calculate LCM of 813,618
3 | 813, 618 |
271, 206 |
∴ So the LCM of the given numbers is 3 x 271 x 206 = 167478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167478
Therefore, the GCF of Fractions 498/813,907/618 is 1/167478
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 813,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,618) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,618) x common factors =3 x 1 = 3
LCM(813,618) = ( 813 × 618 ) / 3
LCM(813,618) = 502434 / 3
LCM(813,618) = 167478
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 498,907?
The HCF of 498,907 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 498/813, 907/618?
Answer: GCF of Numerators as per given numbers 498/813, 907/618 is
GCF of Numerators i.e. for 498,907 is 1
LCM of denominators i.e. for 813,618 is 167478.
Thus, GCF of Fractions is 1/167478.Finally, GCF of Fractions for 498/813, 907/618 is 1/167478.