Use our free GCF of Fractions Calculator tool to compute the GCF of 4/95, 9/93, 4/75, 91/975 i.e 1/574275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/95, 9/93, 4/75, 91/975.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/95,9/93,4/75,91/975
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 4/95,9/93,4/75,91/975, numerators are 4,9,4,91
Denominators are 95,93,75,975
The GCF of 4,9,4,91 is 1 .
LCM of 95,93,75,975 is 574275.
The greatest common factor of 4/95,9/93,4/75,91/975 = [GCF of 4,9,4,91]/[LCM of 95,93,75,975]= 1/574275
Therefore, the GCF of 4/95,9/93,4/75,91/975 is 1/574275.
To find the highest common factor of 4,9,4,91, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 9 are 1, 3, 9
The factors of 4 are 1, 2, 4
The factors of 91 are 1, 7, 13, 91
The HCF of 4,9,4,91 is 1.
Lets's calculate GCF of 4,9,4,91
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 91
:1,7,13,91
Greatest Common Factor
We found the factors 4,9,4,91 . The biggest common factor number is the GCF number.
So the greatest common factor 4,9,4,91 is 1.
Lets's calculate LCM of 95,93,75,975
3 | 95, 93, 75, 975 |
5 | 95, 31, 25, 325 |
5 | 19, 31, 5, 65 |
19, 31, 1, 13 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 19 x 31 x 1 x 13 = 574275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574275
Therefore, the GCF of Fractions 4/95,9/93,4/75,91/975 is 1/574275
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 95,93,75,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,93,75,975) = 1
common factors(in case of two or more numbers have common factors) = 1125
GCF(95,93,75,975) x common factors =1 x 1125 = 1125
LCM(95,93,75,975) = ( 95 × 93 × 75 × 975 ) / 1125
LCM(95,93,75,975) = 646059375 / 1125
LCM(95,93,75,975) = 574275
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,9,4,91?
The HCF of 4,9,4,91 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 4/95, 9/93, 4/75, 91/975?
Answer: GCF of Numerators as per given numbers 4/95, 9/93, 4/75, 91/975 is
GCF of Numerators i.e. for 4,9,4,91 is 1
LCM of denominators i.e. for 95,93,75,975 is 574275.
Thus, GCF of Fractions is 1/574275.Finally, GCF of Fractions for 4/95, 9/93, 4/75, 91/975 is 1/574275.