Use our free GCF of Fractions Calculator tool to compute the GCF of 35/333, 79/8833 i.e 1/2941389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/333, 79/8833.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/333,79/8833
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 35/333,79/8833, numerators are 35,79
Denominators are 333,8833
The GCF of 35,79 is 1 .
LCM of 333,8833 is 2941389.
The greatest common factor of 35/333,79/8833 = [GCF of 35,79]/[LCM of 333,8833]= 1/2941389
Therefore, the GCF of 35/333,79/8833 is 1/2941389.
To find the highest common factor of 35,79, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 79 are 1, 79
The HCF of 35,79 is 1.
Lets's calculate GCF of 35,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 333,8833
Given numbers has no common factors except 1. So, there LCM is their product i.e 2941389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2941389
Therefore, the GCF of Fractions 35/333,79/8833 is 1/2941389
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 333,8833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,8833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,8833) x common factors =1 x 1 = 1
LCM(333,8833) = ( 333 × 8833 ) / 1
LCM(333,8833) = 2941389 / 1
LCM(333,8833) = 2941389
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,79?
The HCF of 35,79 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 35/333, 79/8833?
Answer: GCF of Numerators as per given numbers 35/333, 79/8833 is
GCF of Numerators i.e. for 35,79 is 1
LCM of denominators i.e. for 333,8833 is 2941389.
Thus, GCF of Fractions is 1/2941389.Finally, GCF of Fractions for 35/333, 79/8833 is 1/2941389.