Use our free GCF of Fractions Calculator tool to compute the GCF of 495/233, 313/988 i.e 1/230204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/233, 313/988.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 495/233,313/988
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 495/233,313/988, numerators are 495,313
Denominators are 233,988
The GCF of 495,313 is 1 .
LCM of 233,988 is 230204.
The greatest common factor of 495/233,313/988 = [GCF of 495,313]/[LCM of 233,988]= 1/230204
Therefore, the GCF of 495/233,313/988 is 1/230204.
To find the highest common factor of 495,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The factors of 313 are 1, 313
The HCF of 495,313 is 1.
Lets's calculate GCF of 495,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 495,313 . The biggest common factor number is the GCF number.
So the greatest common factor 495,313 is 1.
Lets's calculate LCM of 233,988
Given numbers has no common factors except 1. So, there LCM is their product i.e 230204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230204
Therefore, the GCF of Fractions 495/233,313/988 is 1/230204
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 233,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,988) x common factors =1 x 1 = 1
LCM(233,988) = ( 233 × 988 ) / 1
LCM(233,988) = 230204 / 1
LCM(233,988) = 230204
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 495,313?
The HCF of 495,313 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 495/233, 313/988?
Answer: GCF of Numerators as per given numbers 495/233, 313/988 is
GCF of Numerators i.e. for 495,313 is 1
LCM of denominators i.e. for 233,988 is 230204.
Thus, GCF of Fractions is 1/230204.Finally, GCF of Fractions for 495/233, 313/988 is 1/230204.