Use our free GCF of Fractions Calculator tool to compute the GCF of 2791/832, 4331/9805 i.e 1/8157760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2791/832, 4331/9805.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2791/832,4331/9805
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 2791/832,4331/9805, numerators are 2791,4331
Denominators are 832,9805
The GCF of 2791,4331 is 1 .
LCM of 832,9805 is 8157760.
The greatest common factor of 2791/832,4331/9805 = [GCF of 2791,4331]/[LCM of 832,9805]= 1/8157760
Therefore, the GCF of 2791/832,4331/9805 is 1/8157760.
To find the highest common factor of 2791,4331, we have to find the factors of both numbers and list the highest common factor.
The factors of 2791 are 1, 2791
The factors of 4331 are 1, 61, 71, 4331
The HCF of 2791,4331 is 1.
Lets's calculate GCF of 2791,4331
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2791
:1,2791
Now, list down the factors of 4331
:1,61,71,4331
Greatest Common Factor
We found the factors 2791,4331 . The biggest common factor number is the GCF number.
So the greatest common factor 2791,4331 is 1.
Lets's calculate LCM of 832,9805
Given numbers has no common factors except 1. So, there LCM is their product i.e 8157760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8157760
Therefore, the GCF of Fractions 2791/832,4331/9805 is 1/8157760
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 832,9805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,9805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,9805) x common factors =1 x 1 = 1
LCM(832,9805) = ( 832 × 9805 ) / 1
LCM(832,9805) = 8157760 / 1
LCM(832,9805) = 8157760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2791,4331?
The HCF of 2791,4331 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 2791/832, 4331/9805?
Answer: GCF of Numerators as per given numbers 2791/832, 4331/9805 is
GCF of Numerators i.e. for 2791,4331 is 1
LCM of denominators i.e. for 832,9805 is 8157760.
Thus, GCF of Fractions is 1/8157760.Finally, GCF of Fractions for 2791/832, 4331/9805 is 1/8157760.