Use our free GCF of Fractions Calculator tool to compute the GCF of 9995/322, 7239/5427 i.e 1/1747494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9995/322, 7239/5427.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9995/322,7239/5427
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 9995/322,7239/5427, numerators are 9995,7239
Denominators are 322,5427
The GCF of 9995,7239 is 1 .
LCM of 322,5427 is 1747494.
The greatest common factor of 9995/322,7239/5427 = [GCF of 9995,7239]/[LCM of 322,5427]= 1/1747494
Therefore, the GCF of 9995/322,7239/5427 is 1/1747494.
To find the highest common factor of 9995,7239, we have to find the factors of both numbers and list the highest common factor.
The factors of 9995 are 1, 5, 1999, 9995
The factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239
The HCF of 9995,7239 is 1.
Lets's calculate GCF of 9995,7239
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9995
:1,5,1999,9995
Now, list down the factors of 7239
:1,3,19,57,127,381,2413,7239
Greatest Common Factor
We found the factors 9995,7239 . The biggest common factor number is the GCF number.
So the greatest common factor 9995,7239 is 1.
Lets's calculate LCM of 322,5427
Given numbers has no common factors except 1. So, there LCM is their product i.e 1747494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1747494
Therefore, the GCF of Fractions 9995/322,7239/5427 is 1/1747494
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 322,5427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,5427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,5427) x common factors =1 x 1 = 1
LCM(322,5427) = ( 322 × 5427 ) / 1
LCM(322,5427) = 1747494 / 1
LCM(322,5427) = 1747494
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9995,7239?
The HCF of 9995,7239 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 9995/322, 7239/5427?
Answer: GCF of Numerators as per given numbers 9995/322, 7239/5427 is
GCF of Numerators i.e. for 9995,7239 is 1
LCM of denominators i.e. for 322,5427 is 1747494.
Thus, GCF of Fractions is 1/1747494.Finally, GCF of Fractions for 9995/322, 7239/5427 is 1/1747494.