Use our free GCF of Fractions Calculator tool to compute the GCF of 209/443, 472/921 i.e 1/408003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 209/443, 472/921.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 209/443,472/921
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 209/443,472/921, numerators are 209,472
Denominators are 443,921
The GCF of 209,472 is 1 .
LCM of 443,921 is 408003.
The greatest common factor of 209/443,472/921 = [GCF of 209,472]/[LCM of 443,921]= 1/408003
Therefore, the GCF of 209/443,472/921 is 1/408003.
To find the highest common factor of 209,472, we have to find the factors of both numbers and list the highest common factor.
The factors of 209 are 1, 11, 19, 209
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The HCF of 209,472 is 1.
Lets's calculate GCF of 209,472
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 209
:1,11,19,209
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 209,472 . The biggest common factor number is the GCF number.
So the greatest common factor 209,472 is 1.
Lets's calculate LCM of 443,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 408003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/408003
Therefore, the GCF of Fractions 209/443,472/921 is 1/408003
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 443,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,921) x common factors =1 x 1 = 1
LCM(443,921) = ( 443 × 921 ) / 1
LCM(443,921) = 408003 / 1
LCM(443,921) = 408003
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 209,472?
The HCF of 209,472 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 209/443, 472/921?
Answer: GCF of Numerators as per given numbers 209/443, 472/921 is
GCF of Numerators i.e. for 209,472 is 1
LCM of denominators i.e. for 443,921 is 408003.
Thus, GCF of Fractions is 1/408003.Finally, GCF of Fractions for 209/443, 472/921 is 1/408003.