Use our free GCF of Fractions Calculator tool to compute the GCF of 5113/482, 5212/9649 i.e 1/4650818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5113/482, 5212/9649.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5113/482,5212/9649
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 5113/482,5212/9649, numerators are 5113,5212
Denominators are 482,9649
The GCF of 5113,5212 is 1 .
LCM of 482,9649 is 4650818.
The greatest common factor of 5113/482,5212/9649 = [GCF of 5113,5212]/[LCM of 482,9649]= 1/4650818
Therefore, the GCF of 5113/482,5212/9649 is 1/4650818.
To find the highest common factor of 5113,5212, we have to find the factors of both numbers and list the highest common factor.
The factors of 5113 are 1, 5113
The factors of 5212 are 1, 2, 4, 1303, 2606, 5212
The HCF of 5113,5212 is 1.
Lets's calculate GCF of 5113,5212
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5113
:1,5113
Now, list down the factors of 5212
:1,2,4,1303,2606,5212
Greatest Common Factor
We found the factors 5113,5212 . The biggest common factor number is the GCF number.
So the greatest common factor 5113,5212 is 1.
Lets's calculate LCM of 482,9649
Given numbers has no common factors except 1. So, there LCM is their product i.e 4650818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4650818
Therefore, the GCF of Fractions 5113/482,5212/9649 is 1/4650818
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 482,9649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,9649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,9649) x common factors =1 x 1 = 1
LCM(482,9649) = ( 482 × 9649 ) / 1
LCM(482,9649) = 4650818 / 1
LCM(482,9649) = 4650818
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5113,5212?
The HCF of 5113,5212 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 5113/482, 5212/9649?
Answer: GCF of Numerators as per given numbers 5113/482, 5212/9649 is
GCF of Numerators i.e. for 5113,5212 is 1
LCM of denominators i.e. for 482,9649 is 4650818.
Thus, GCF of Fractions is 1/4650818.Finally, GCF of Fractions for 5113/482, 5212/9649 is 1/4650818.