Use our free GCF of Fractions Calculator tool to compute the GCF of 5636/916, 4811/8009 i.e 1/7336244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5636/916, 4811/8009.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5636/916,4811/8009
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 5636/916,4811/8009, numerators are 5636,4811
Denominators are 916,8009
The GCF of 5636,4811 is 1 .
LCM of 916,8009 is 7336244.
The greatest common factor of 5636/916,4811/8009 = [GCF of 5636,4811]/[LCM of 916,8009]= 1/7336244
Therefore, the GCF of 5636/916,4811/8009 is 1/7336244.
To find the highest common factor of 5636,4811, we have to find the factors of both numbers and list the highest common factor.
The factors of 5636 are 1, 2, 4, 1409, 2818, 5636
The factors of 4811 are 1, 17, 283, 4811
The HCF of 5636,4811 is 1.
Lets's calculate GCF of 5636,4811
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5636
:1,2,4,1409,2818,5636
Now, list down the factors of 4811
:1,17,283,4811
Greatest Common Factor
We found the factors 5636,4811 . The biggest common factor number is the GCF number.
So the greatest common factor 5636,4811 is 1.
Lets's calculate LCM of 916,8009
Given numbers has no common factors except 1. So, there LCM is their product i.e 7336244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7336244
Therefore, the GCF of Fractions 5636/916,4811/8009 is 1/7336244
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 916,8009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,8009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(916,8009) x common factors =1 x 1 = 1
LCM(916,8009) = ( 916 × 8009 ) / 1
LCM(916,8009) = 7336244 / 1
LCM(916,8009) = 7336244
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5636,4811?
The HCF of 5636,4811 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 5636/916, 4811/8009?
Answer: GCF of Numerators as per given numbers 5636/916, 4811/8009 is
GCF of Numerators i.e. for 5636,4811 is 1
LCM of denominators i.e. for 916,8009 is 7336244.
Thus, GCF of Fractions is 1/7336244.Finally, GCF of Fractions for 5636/916, 4811/8009 is 1/7336244.