Use our free GCF of Fractions Calculator tool to compute the GCF of 9375/745, 2159/3493 i.e 1/2602285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9375/745, 2159/3493.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9375/745,2159/3493
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 9375/745,2159/3493, numerators are 9375,2159
Denominators are 745,3493
The GCF of 9375,2159 is 1 .
LCM of 745,3493 is 2602285.
The greatest common factor of 9375/745,2159/3493 = [GCF of 9375,2159]/[LCM of 745,3493]= 1/2602285
Therefore, the GCF of 9375/745,2159/3493 is 1/2602285.
To find the highest common factor of 9375,2159, we have to find the factors of both numbers and list the highest common factor.
The factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375
The factors of 2159 are 1, 17, 127, 2159
The HCF of 9375,2159 is 1.
Lets's calculate GCF of 9375,2159
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9375
:1,3,5,15,25,75,125,375,625,1875,3125,9375
Now, list down the factors of 2159
:1,17,127,2159
Greatest Common Factor
We found the factors 9375,2159 . The biggest common factor number is the GCF number.
So the greatest common factor 9375,2159 is 1.
Lets's calculate LCM of 745,3493
Given numbers has no common factors except 1. So, there LCM is their product i.e 2602285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2602285
Therefore, the GCF of Fractions 9375/745,2159/3493 is 1/2602285
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 745,3493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,3493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,3493) x common factors =1 x 1 = 1
LCM(745,3493) = ( 745 × 3493 ) / 1
LCM(745,3493) = 2602285 / 1
LCM(745,3493) = 2602285
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9375,2159?
The HCF of 9375,2159 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 9375/745, 2159/3493?
Answer: GCF of Numerators as per given numbers 9375/745, 2159/3493 is
GCF of Numerators i.e. for 9375,2159 is 1
LCM of denominators i.e. for 745,3493 is 2602285.
Thus, GCF of Fractions is 1/2602285.Finally, GCF of Fractions for 9375/745, 2159/3493 is 1/2602285.