Use our free GCF of Fractions Calculator tool to compute the GCF of 4844/401, 7534/7771 i.e 2/3116171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4844/401, 7534/7771.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4844/401,7534/7771
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 4844/401,7534/7771, numerators are 4844,7534
Denominators are 401,7771
The GCF of 4844,7534 is 2 .
LCM of 401,7771 is 3116171.
The greatest common factor of 4844/401,7534/7771 = [GCF of 4844,7534]/[LCM of 401,7771]= 2/3116171
Therefore, the GCF of 4844/401,7534/7771 is 2/3116171.
To find the highest common factor of 4844,7534, we have to find the factors of both numbers and list the highest common factor.
The factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844
The factors of 7534 are 1, 2, 3767, 7534
The HCF of 4844,7534 is 2.
Lets's calculate GCF of 4844,7534
2 | 4844, 7534 |
2422, 3767 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4844
:1,2,4,7,14,28,173,346,692,1211,2422,4844
Now, list down the factors of 7534
:1,2,3767,7534
Greatest Common Factor
We found the factors 4844,7534 . The biggest common factor number is the GCF number.
So the greatest common factor 4844,7534 is 2.
Lets's calculate LCM of 401,7771
Given numbers has no common factors except 1. So, there LCM is their product i.e 3116171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3116171
Therefore, the GCF of Fractions 4844/401,7534/7771 is 2/3116171
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 401,7771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,7771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,7771) x common factors =1 x 1 = 1
LCM(401,7771) = ( 401 × 7771 ) / 1
LCM(401,7771) = 3116171 / 1
LCM(401,7771) = 3116171
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4844,7534?
The HCF of 4844,7534 is 2
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 4844/401, 7534/7771?
Answer: GCF of Numerators as per given numbers 4844/401, 7534/7771 is
GCF of Numerators i.e. for 4844,7534 is 2
LCM of denominators i.e. for 401,7771 is 3116171.
Thus, GCF of Fractions is 2/3116171.Finally, GCF of Fractions for 4844/401, 7534/7771 is 2/3116171.