Use our free GCF of Fractions Calculator tool to compute the GCF of 118/681, 312/578 i.e 2/393618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/681, 312/578.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/681,312/578
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 118/681,312/578, numerators are 118,312
Denominators are 681,578
The GCF of 118,312 is 2 .
LCM of 681,578 is 393618.
The greatest common factor of 118/681,312/578 = [GCF of 118,312]/[LCM of 681,578]= 2/393618
Therefore, the GCF of 118/681,312/578 is 2/393618.
To find the highest common factor of 118,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 118,312 is 2.
Lets's calculate GCF of 118,312
2 | 118, 312 |
59, 156 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 118,312 . The biggest common factor number is the GCF number.
So the greatest common factor 118,312 is 2.
Lets's calculate LCM of 681,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 393618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/393618
Therefore, the GCF of Fractions 118/681,312/578 is 2/393618
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 681,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,578) x common factors =1 x 1 = 1
LCM(681,578) = ( 681 × 578 ) / 1
LCM(681,578) = 393618 / 1
LCM(681,578) = 393618
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 118,312?
The HCF of 118,312 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 118/681, 312/578?
Answer: GCF of Numerators as per given numbers 118/681, 312/578 is
GCF of Numerators i.e. for 118,312 is 2
LCM of denominators i.e. for 681,578 is 393618.
Thus, GCF of Fractions is 2/393618.Finally, GCF of Fractions for 118/681, 312/578 is 2/393618.