Use our free GCF of Fractions Calculator tool to compute the GCF of 369/667, 298/729 i.e 1/486243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 369/667, 298/729.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 369/667,298/729
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 369/667,298/729, numerators are 369,298
Denominators are 667,729
The GCF of 369,298 is 1 .
LCM of 667,729 is 486243.
The greatest common factor of 369/667,298/729 = [GCF of 369,298]/[LCM of 667,729]= 1/486243
Therefore, the GCF of 369/667,298/729 is 1/486243.
To find the highest common factor of 369,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 369 are 1, 3, 9, 41, 123, 369
The factors of 298 are 1, 2, 149, 298
The HCF of 369,298 is 1.
Lets's calculate GCF of 369,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 369
:1,3,9,41,123,369
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 369,298 . The biggest common factor number is the GCF number.
So the greatest common factor 369,298 is 1.
Lets's calculate LCM of 667,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 486243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486243
Therefore, the GCF of Fractions 369/667,298/729 is 1/486243
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 667,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,729) x common factors =1 x 1 = 1
LCM(667,729) = ( 667 × 729 ) / 1
LCM(667,729) = 486243 / 1
LCM(667,729) = 486243
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 369,298?
The HCF of 369,298 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 369/667, 298/729?
Answer: GCF of Numerators as per given numbers 369/667, 298/729 is
GCF of Numerators i.e. for 369,298 is 1
LCM of denominators i.e. for 667,729 is 486243.
Thus, GCF of Fractions is 1/486243.Finally, GCF of Fractions for 369/667, 298/729 is 1/486243.