Use our free GCF of Fractions Calculator tool to compute the GCF of 43/99, 865/86, 538/881 i.e 1/7500834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/99, 865/86, 538/881.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/99,865/86,538/881
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 43/99,865/86,538/881, numerators are 43,865,538
Denominators are 99,86,881
The GCF of 43,865,538 is 1 .
LCM of 99,86,881 is 7500834.
The greatest common factor of 43/99,865/86,538/881 = [GCF of 43,865,538]/[LCM of 99,86,881]= 1/7500834
Therefore, the GCF of 43/99,865/86,538/881 is 1/7500834.
To find the highest common factor of 43,865,538, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 865 are 1, 5, 173, 865
The factors of 538 are 1, 2, 269, 538
The HCF of 43,865,538 is 1.
Lets's calculate GCF of 43,865,538
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 43
:1,43
Now, list down the factors of 865
:1,5,173,865
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 43,865,538 . The biggest common factor number is the GCF number.
So the greatest common factor 43,865,538 is 1.
Lets's calculate LCM of 99,86,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 7500834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7500834
Therefore, the GCF of Fractions 43/99,865/86,538/881 is 1/7500834
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 99,86,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,86,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,86,881) x common factors =1 x 1 = 1
LCM(99,86,881) = ( 99 × 86 × 881 ) / 1
LCM(99,86,881) = 7500834 / 1
LCM(99,86,881) = 7500834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,865,538?
The HCF of 43,865,538 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 43/99, 865/86, 538/881?
Answer: GCF of Numerators as per given numbers 43/99, 865/86, 538/881 is
GCF of Numerators i.e. for 43,865,538 is 1
LCM of denominators i.e. for 99,86,881 is 7500834.
Thus, GCF of Fractions is 1/7500834.Finally, GCF of Fractions for 43/99, 865/86, 538/881 is 1/7500834.