Use our free GCF of Fractions Calculator tool to compute the GCF of 78/73, 163/16, 958/285 i.e 1/332880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/73, 163/16, 958/285.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/73,163/16,958/285
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 78/73,163/16,958/285, numerators are 78,163,958
Denominators are 73,16,285
The GCF of 78,163,958 is 1 .
LCM of 73,16,285 is 332880.
The greatest common factor of 78/73,163/16,958/285 = [GCF of 78,163,958]/[LCM of 73,16,285]= 1/332880
Therefore, the GCF of 78/73,163/16,958/285 is 1/332880.
To find the highest common factor of 78,163,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 163 are 1, 163
The factors of 958 are 1, 2, 479, 958
The HCF of 78,163,958 is 1.
Lets's calculate GCF of 78,163,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 163
:1,163
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 78,163,958 . The biggest common factor number is the GCF number.
So the greatest common factor 78,163,958 is 1.
Lets's calculate LCM of 73,16,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 332880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332880
Therefore, the GCF of Fractions 78/73,163/16,958/285 is 1/332880
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 73,16,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,16,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,16,285) x common factors =1 x 1 = 1
LCM(73,16,285) = ( 73 × 16 × 285 ) / 1
LCM(73,16,285) = 332880 / 1
LCM(73,16,285) = 332880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 78,163,958?
The HCF of 78,163,958 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 78/73, 163/16, 958/285?
Answer: GCF of Numerators as per given numbers 78/73, 163/16, 958/285 is
GCF of Numerators i.e. for 78,163,958 is 1
LCM of denominators i.e. for 73,16,285 is 332880.
Thus, GCF of Fractions is 1/332880.Finally, GCF of Fractions for 78/73, 163/16, 958/285 is 1/332880.