Use our free GCF of Fractions Calculator tool to compute the GCF of 48/969, 478/870, 331/617 i.e 1/173383170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/969, 478/870, 331/617.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/969,478/870,331/617
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 48/969,478/870,331/617, numerators are 48,478,331
Denominators are 969,870,617
The GCF of 48,478,331 is 1 .
LCM of 969,870,617 is 173383170.
The greatest common factor of 48/969,478/870,331/617 = [GCF of 48,478,331]/[LCM of 969,870,617]= 1/173383170
Therefore, the GCF of 48/969,478/870,331/617 is 1/173383170.
To find the highest common factor of 48,478,331, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 478 are 1, 2, 239, 478
The factors of 331 are 1, 331
The HCF of 48,478,331 is 1.
Lets's calculate GCF of 48,478,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 478
:1,2,239,478
Now, list down the factors of 331
:1,331
Greatest Common Factor
We found the factors 48,478,331 . The biggest common factor number is the GCF number.
So the greatest common factor 48,478,331 is 1.
Lets's calculate LCM of 969,870,617
3 | 969, 870, 617 |
323, 290, 617 |
∴ So the LCM of the given numbers is 3 x 323 x 290 x 617 = 173383170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173383170
Therefore, the GCF of Fractions 48/969,478/870,331/617 is 1/173383170
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 969,870,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,870,617) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(969,870,617) x common factors =1 x 3 = 3
LCM(969,870,617) = ( 969 × 870 × 617 ) / 3
LCM(969,870,617) = 520149510 / 3
LCM(969,870,617) = 173383170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,478,331?
The HCF of 48,478,331 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 48/969, 478/870, 331/617?
Answer: GCF of Numerators as per given numbers 48/969, 478/870, 331/617 is
GCF of Numerators i.e. for 48,478,331 is 1
LCM of denominators i.e. for 969,870,617 is 173383170.
Thus, GCF of Fractions is 1/173383170.Finally, GCF of Fractions for 48/969, 478/870, 331/617 is 1/173383170.