Use our free GCF of Fractions Calculator tool to compute the GCF of 518/465, 956/398 i.e 2/185070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/465, 956/398.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 518/465,956/398
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 518/465,956/398, numerators are 518,956
Denominators are 465,398
The GCF of 518,956 is 2 .
LCM of 465,398 is 185070.
The greatest common factor of 518/465,956/398 = [GCF of 518,956]/[LCM of 465,398]= 2/185070
Therefore, the GCF of 518/465,956/398 is 2/185070.
To find the highest common factor of 518,956, we have to find the factors of both numbers and list the highest common factor.
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 956 are 1, 2, 4, 239, 478, 956
The HCF of 518,956 is 2.
Lets's calculate GCF of 518,956
2 | 518, 956 |
259, 478 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 956
:1,2,4,239,478,956
Greatest Common Factor
We found the factors 518,956 . The biggest common factor number is the GCF number.
So the greatest common factor 518,956 is 2.
Lets's calculate LCM of 465,398
Given numbers has no common factors except 1. So, there LCM is their product i.e 185070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/185070
Therefore, the GCF of Fractions 518/465,956/398 is 2/185070
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 465,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,398) x common factors =1 x 1 = 1
LCM(465,398) = ( 465 × 398 ) / 1
LCM(465,398) = 185070 / 1
LCM(465,398) = 185070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 518,956?
The HCF of 518,956 is 2
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 518/465, 956/398?
Answer: GCF of Numerators as per given numbers 518/465, 956/398 is
GCF of Numerators i.e. for 518,956 is 2
LCM of denominators i.e. for 465,398 is 185070.
Thus, GCF of Fractions is 2/185070.Finally, GCF of Fractions for 518/465, 956/398 is 2/185070.