Use our free GCF of Fractions Calculator tool to compute the GCF of 343/383, 211/718 i.e 1/274994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 343/383, 211/718.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 343/383,211/718
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 343/383,211/718, numerators are 343,211
Denominators are 383,718
The GCF of 343,211 is 1 .
LCM of 383,718 is 274994.
The greatest common factor of 343/383,211/718 = [GCF of 343,211]/[LCM of 383,718]= 1/274994
Therefore, the GCF of 343/383,211/718 is 1/274994.
To find the highest common factor of 343,211, we have to find the factors of both numbers and list the highest common factor.
The factors of 343 are 1, 7, 49, 343
The factors of 211 are 1, 211
The HCF of 343,211 is 1.
Lets's calculate GCF of 343,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 343
:1,7,49,343
Now, list down the factors of 211
:1,211
Greatest Common Factor
We found the factors 343,211 . The biggest common factor number is the GCF number.
So the greatest common factor 343,211 is 1.
Lets's calculate LCM of 383,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 274994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274994
Therefore, the GCF of Fractions 343/383,211/718 is 1/274994
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 383,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,718) x common factors =1 x 1 = 1
LCM(383,718) = ( 383 × 718 ) / 1
LCM(383,718) = 274994 / 1
LCM(383,718) = 274994
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 343,211?
The HCF of 343,211 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 343/383, 211/718?
Answer: GCF of Numerators as per given numbers 343/383, 211/718 is
GCF of Numerators i.e. for 343,211 is 1
LCM of denominators i.e. for 383,718 is 274994.
Thus, GCF of Fractions is 1/274994.Finally, GCF of Fractions for 343/383, 211/718 is 1/274994.