Use our free GCF of Fractions Calculator tool to compute the GCF of 9375/915, 2051/7663 i.e 1/7011645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9375/915, 2051/7663.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9375/915,2051/7663
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 9375/915,2051/7663, numerators are 9375,2051
Denominators are 915,7663
The GCF of 9375,2051 is 1 .
LCM of 915,7663 is 7011645.
The greatest common factor of 9375/915,2051/7663 = [GCF of 9375,2051]/[LCM of 915,7663]= 1/7011645
Therefore, the GCF of 9375/915,2051/7663 is 1/7011645.
To find the highest common factor of 9375,2051, 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 2051 are 1, 7, 293, 2051
The HCF of 9375,2051 is 1.
Lets's calculate GCF of 9375,2051
∴ 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 2051
:1,7,293,2051
Greatest Common Factor
We found the factors 9375,2051 . The biggest common factor number is the GCF number.
So the greatest common factor 9375,2051 is 1.
Lets's calculate LCM of 915,7663
Given numbers has no common factors except 1. So, there LCM is their product i.e 7011645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7011645
Therefore, the GCF of Fractions 9375/915,2051/7663 is 1/7011645
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 915,7663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,7663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(915,7663) x common factors =1 x 1 = 1
LCM(915,7663) = ( 915 × 7663 ) / 1
LCM(915,7663) = 7011645 / 1
LCM(915,7663) = 7011645
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9375,2051?
The HCF of 9375,2051 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 9375/915, 2051/7663?
Answer: GCF of Numerators as per given numbers 9375/915, 2051/7663 is
GCF of Numerators i.e. for 9375,2051 is 1
LCM of denominators i.e. for 915,7663 is 7011645.
Thus, GCF of Fractions is 1/7011645.Finally, GCF of Fractions for 9375/915, 2051/7663 is 1/7011645.