Use our free GCF of Fractions Calculator tool to compute the GCF of 389/464, 299/687 i.e 1/318768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/464, 299/687.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 389/464,299/687
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 389/464,299/687, numerators are 389,299
Denominators are 464,687
The GCF of 389,299 is 1 .
LCM of 464,687 is 318768.
The greatest common factor of 389/464,299/687 = [GCF of 389,299]/[LCM of 464,687]= 1/318768
Therefore, the GCF of 389/464,299/687 is 1/318768.
To find the highest common factor of 389,299, we have to find the factors of both numbers and list the highest common factor.
The factors of 389 are 1, 389
The factors of 299 are 1, 13, 23, 299
The HCF of 389,299 is 1.
Lets's calculate GCF of 389,299
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 389
:1,389
Now, list down the factors of 299
:1,13,23,299
Greatest Common Factor
We found the factors 389,299 . The biggest common factor number is the GCF number.
So the greatest common factor 389,299 is 1.
Lets's calculate LCM of 464,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 318768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318768
Therefore, the GCF of Fractions 389/464,299/687 is 1/318768
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 464,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,687) x common factors =1 x 1 = 1
LCM(464,687) = ( 464 × 687 ) / 1
LCM(464,687) = 318768 / 1
LCM(464,687) = 318768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 389,299?
The HCF of 389,299 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 389/464, 299/687?
Answer: GCF of Numerators as per given numbers 389/464, 299/687 is
GCF of Numerators i.e. for 389,299 is 1
LCM of denominators i.e. for 464,687 is 318768.
Thus, GCF of Fractions is 1/318768.Finally, GCF of Fractions for 389/464, 299/687 is 1/318768.