Use our free GCF of Fractions Calculator tool to compute the GCF of 13/841, 37/5071 i.e 1/4264711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/841, 37/5071.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/841,37/5071
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 13/841,37/5071, numerators are 13,37
Denominators are 841,5071
The GCF of 13,37 is 1 .
LCM of 841,5071 is 4264711.
The greatest common factor of 13/841,37/5071 = [GCF of 13,37]/[LCM of 841,5071]= 1/4264711
Therefore, the GCF of 13/841,37/5071 is 1/4264711.
To find the highest common factor of 13,37, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 37 are 1, 37
The HCF of 13,37 is 1.
Lets's calculate GCF of 13,37
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 841,5071
Given numbers has no common factors except 1. So, there LCM is their product i.e 4264711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4264711
Therefore, the GCF of Fractions 13/841,37/5071 is 1/4264711
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 841,5071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,5071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,5071) x common factors =1 x 1 = 1
LCM(841,5071) = ( 841 × 5071 ) / 1
LCM(841,5071) = 4264711 / 1
LCM(841,5071) = 4264711
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,37?
The HCF of 13,37 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 13/841, 37/5071?
Answer: GCF of Numerators as per given numbers 13/841, 37/5071 is
GCF of Numerators i.e. for 13,37 is 1
LCM of denominators i.e. for 841,5071 is 4264711.
Thus, GCF of Fractions is 1/4264711.Finally, GCF of Fractions for 13/841, 37/5071 is 1/4264711.