Use our free GCF of Fractions Calculator tool to compute the GCF of 2915/213, 9599/5293 i.e 1/1127409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2915/213, 9599/5293.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2915/213,9599/5293
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 2915/213,9599/5293, numerators are 2915,9599
Denominators are 213,5293
The GCF of 2915,9599 is 1 .
LCM of 213,5293 is 1127409.
The greatest common factor of 2915/213,9599/5293 = [GCF of 2915,9599]/[LCM of 213,5293]= 1/1127409
Therefore, the GCF of 2915/213,9599/5293 is 1/1127409.
To find the highest common factor of 2915,9599, we have to find the factors of both numbers and list the highest common factor.
The factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915
The factors of 9599 are 1, 29, 331, 9599
The HCF of 2915,9599 is 1.
Lets's calculate GCF of 2915,9599
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2915
:1,5,11,53,55,265,583,2915
Now, list down the factors of 9599
:1,29,331,9599
Greatest Common Factor
We found the factors 2915,9599 . The biggest common factor number is the GCF number.
So the greatest common factor 2915,9599 is 1.
Lets's calculate LCM of 213,5293
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127409
Therefore, the GCF of Fractions 2915/213,9599/5293 is 1/1127409
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 213,5293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,5293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,5293) x common factors =1 x 1 = 1
LCM(213,5293) = ( 213 × 5293 ) / 1
LCM(213,5293) = 1127409 / 1
LCM(213,5293) = 1127409
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2915,9599?
The HCF of 2915,9599 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 2915/213, 9599/5293?
Answer: GCF of Numerators as per given numbers 2915/213, 9599/5293 is
GCF of Numerators i.e. for 2915,9599 is 1
LCM of denominators i.e. for 213,5293 is 1127409.
Thus, GCF of Fractions is 1/1127409.Finally, GCF of Fractions for 2915/213, 9599/5293 is 1/1127409.