Use our free GCF of Fractions Calculator tool to compute the GCF of 382/212, 9913/303 i.e 1/64236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/212, 9913/303.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/212,9913/303
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 382/212,9913/303, numerators are 382,9913
Denominators are 212,303
The GCF of 382,9913 is 1 .
LCM of 212,303 is 64236.
The greatest common factor of 382/212,9913/303 = [GCF of 382,9913]/[LCM of 212,303]= 1/64236
Therefore, the GCF of 382/212,9913/303 is 1/64236.
To find the highest common factor of 382,9913, we have to find the factors of both numbers and list the highest common factor.
The factors of 382 are 1, 2, 191, 382
The factors of 9913 are 1, 23, 431, 9913
The HCF of 382,9913 is 1.
Lets's calculate GCF of 382,9913
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 382
:1,2,191,382
Now, list down the factors of 9913
:1,23,431,9913
Greatest Common Factor
We found the factors 382,9913 . The biggest common factor number is the GCF number.
So the greatest common factor 382,9913 is 1.
Lets's calculate LCM of 212,303
Given numbers has no common factors except 1. So, there LCM is their product i.e 64236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64236
Therefore, the GCF of Fractions 382/212,9913/303 is 1/64236
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 212,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,303) x common factors =1 x 1 = 1
LCM(212,303) = ( 212 × 303 ) / 1
LCM(212,303) = 64236 / 1
LCM(212,303) = 64236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 382,9913?
The HCF of 382,9913 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 382/212, 9913/303?
Answer: GCF of Numerators as per given numbers 382/212, 9913/303 is
GCF of Numerators i.e. for 382,9913 is 1
LCM of denominators i.e. for 212,303 is 64236.
Thus, GCF of Fractions is 1/64236.Finally, GCF of Fractions for 382/212, 9913/303 is 1/64236.