Use our free GCF of Fractions Calculator tool to compute the GCF of 308/491, 535/406 i.e 1/199346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/491, 535/406.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 308/491,535/406
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 308/491,535/406, numerators are 308,535
Denominators are 491,406
The GCF of 308,535 is 1 .
LCM of 491,406 is 199346.
The greatest common factor of 308/491,535/406 = [GCF of 308,535]/[LCM of 491,406]= 1/199346
Therefore, the GCF of 308/491,535/406 is 1/199346.
To find the highest common factor of 308,535, we have to find the factors of both numbers and list the highest common factor.
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The factors of 535 are 1, 5, 107, 535
The HCF of 308,535 is 1.
Lets's calculate GCF of 308,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Now, list down the factors of 535
:1,5,107,535
Greatest Common Factor
We found the factors 308,535 . The biggest common factor number is the GCF number.
So the greatest common factor 308,535 is 1.
Lets's calculate LCM of 491,406
Given numbers has no common factors except 1. So, there LCM is their product i.e 199346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199346
Therefore, the GCF of Fractions 308/491,535/406 is 1/199346
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 491,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,406) x common factors =1 x 1 = 1
LCM(491,406) = ( 491 × 406 ) / 1
LCM(491,406) = 199346 / 1
LCM(491,406) = 199346
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 308,535?
The HCF of 308,535 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 308/491, 535/406?
Answer: GCF of Numerators as per given numbers 308/491, 535/406 is
GCF of Numerators i.e. for 308,535 is 1
LCM of denominators i.e. for 491,406 is 199346.
Thus, GCF of Fractions is 1/199346.Finally, GCF of Fractions for 308/491, 535/406 is 1/199346.