Use our free GCF of Fractions Calculator tool to compute the GCF of 518/438, 946/308 i.e 2/67452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/438, 946/308.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 518/438,946/308
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 518/438,946/308, numerators are 518,946
Denominators are 438,308
The GCF of 518,946 is 2 .
LCM of 438,308 is 67452.
The greatest common factor of 518/438,946/308 = [GCF of 518,946]/[LCM of 438,308]= 2/67452
Therefore, the GCF of 518/438,946/308 is 2/67452.
To find the highest common factor of 518,946, 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 946 are 1, 2, 11, 22, 43, 86, 473, 946
The HCF of 518,946 is 2.
Lets's calculate GCF of 518,946
2 | 518, 946 |
259, 473 |
∴ 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 946
:1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 518,946 . The biggest common factor number is the GCF number.
So the greatest common factor 518,946 is 2.
Lets's calculate LCM of 438,308
2 | 438, 308 |
219, 154 |
∴ So the LCM of the given numbers is 2 x 219 x 154 = 67452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67452
Therefore, the GCF of Fractions 518/438,946/308 is 2/67452
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 438,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,308) x common factors =2 x 1 = 2
LCM(438,308) = ( 438 × 308 ) / 2
LCM(438,308) = 134904 / 2
LCM(438,308) = 67452
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 518,946?
The HCF of 518,946 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 518/438, 946/308?
Answer: GCF of Numerators as per given numbers 518/438, 946/308 is
GCF of Numerators i.e. for 518,946 is 2
LCM of denominators i.e. for 438,308 is 67452.
Thus, GCF of Fractions is 2/67452.Finally, GCF of Fractions for 518/438, 946/308 is 2/67452.