Use our free GCF of Fractions Calculator tool to compute the GCF of 5657/139, 7844/9123 i.e 1/1268097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5657/139, 7844/9123.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5657/139,7844/9123
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 5657/139,7844/9123, numerators are 5657,7844
Denominators are 139,9123
The GCF of 5657,7844 is 1 .
LCM of 139,9123 is 1268097.
The greatest common factor of 5657/139,7844/9123 = [GCF of 5657,7844]/[LCM of 139,9123]= 1/1268097
Therefore, the GCF of 5657/139,7844/9123 is 1/1268097.
To find the highest common factor of 5657,7844, we have to find the factors of both numbers and list the highest common factor.
The factors of 5657 are 1, 5657
The factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844
The HCF of 5657,7844 is 1.
Lets's calculate GCF of 5657,7844
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5657
:1,5657
Now, list down the factors of 7844
:1,2,4,37,53,74,106,148,212,1961,3922,7844
Greatest Common Factor
We found the factors 5657,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 5657,7844 is 1.
Lets's calculate LCM of 139,9123
Given numbers has no common factors except 1. So, there LCM is their product i.e 1268097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1268097
Therefore, the GCF of Fractions 5657/139,7844/9123 is 1/1268097
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 139,9123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,9123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,9123) x common factors =1 x 1 = 1
LCM(139,9123) = ( 139 × 9123 ) / 1
LCM(139,9123) = 1268097 / 1
LCM(139,9123) = 1268097
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5657,7844?
The HCF of 5657,7844 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 5657/139, 7844/9123?
Answer: GCF of Numerators as per given numbers 5657/139, 7844/9123 is
GCF of Numerators i.e. for 5657,7844 is 1
LCM of denominators i.e. for 139,9123 is 1268097.
Thus, GCF of Fractions is 1/1268097.Finally, GCF of Fractions for 5657/139, 7844/9123 is 1/1268097.