Use our free GCF of Fractions Calculator tool to compute the GCF of 211/194, 153/317 i.e 1/61498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/194, 153/317.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/194,153/317
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 211/194,153/317, numerators are 211,153
Denominators are 194,317
The GCF of 211,153 is 1 .
LCM of 194,317 is 61498.
The greatest common factor of 211/194,153/317 = [GCF of 211,153]/[LCM of 194,317]= 1/61498
Therefore, the GCF of 211/194,153/317 is 1/61498.
To find the highest common factor of 211,153, we have to find the factors of both numbers and list the highest common factor.
The factors of 211 are 1, 211
The factors of 153 are 1, 3, 9, 17, 51, 153
The HCF of 211,153 is 1.
Lets's calculate GCF of 211,153
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 211
:1,211
Now, list down the factors of 153
:1,3,9,17,51,153
Greatest Common Factor
We found the factors 211,153 . The biggest common factor number is the GCF number.
So the greatest common factor 211,153 is 1.
Lets's calculate LCM of 194,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 61498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61498
Therefore, the GCF of Fractions 211/194,153/317 is 1/61498
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 194,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(194,317) x common factors =1 x 1 = 1
LCM(194,317) = ( 194 × 317 ) / 1
LCM(194,317) = 61498 / 1
LCM(194,317) = 61498
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 211,153?
The HCF of 211,153 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 211/194, 153/317?
Answer: GCF of Numerators as per given numbers 211/194, 153/317 is
GCF of Numerators i.e. for 211,153 is 1
LCM of denominators i.e. for 194,317 is 61498.
Thus, GCF of Fractions is 1/61498.Finally, GCF of Fractions for 211/194, 153/317 is 1/61498.