Use our free GCF of Fractions Calculator tool to compute the GCF of 2308/207, 2673/1433 i.e 1/296631 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2308/207, 2673/1433.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2308/207,2673/1433
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 2308/207,2673/1433, numerators are 2308,2673
Denominators are 207,1433
The GCF of 2308,2673 is 1 .
LCM of 207,1433 is 296631.
The greatest common factor of 2308/207,2673/1433 = [GCF of 2308,2673]/[LCM of 207,1433]= 1/296631
Therefore, the GCF of 2308/207,2673/1433 is 1/296631.
To find the highest common factor of 2308,2673, we have to find the factors of both numbers and list the highest common factor.
The factors of 2308 are 1, 2, 4, 577, 1154, 2308
The factors of 2673 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673
The HCF of 2308,2673 is 1.
Lets's calculate GCF of 2308,2673
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2308
:1,2,4,577,1154,2308
Now, list down the factors of 2673
:1,3,9,11,27,33,81,99,243,297,891,2673
Greatest Common Factor
We found the factors 2308,2673 . The biggest common factor number is the GCF number.
So the greatest common factor 2308,2673 is 1.
Lets's calculate LCM of 207,1433
Given numbers has no common factors except 1. So, there LCM is their product i.e 296631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296631
Therefore, the GCF of Fractions 2308/207,2673/1433 is 1/296631
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 207,1433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,1433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,1433) x common factors =1 x 1 = 1
LCM(207,1433) = ( 207 × 1433 ) / 1
LCM(207,1433) = 296631 / 1
LCM(207,1433) = 296631
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2308,2673?
The HCF of 2308,2673 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 2308/207, 2673/1433?
Answer: GCF of Numerators as per given numbers 2308/207, 2673/1433 is
GCF of Numerators i.e. for 2308,2673 is 1
LCM of denominators i.e. for 207,1433 is 296631.
Thus, GCF of Fractions is 1/296631.Finally, GCF of Fractions for 2308/207, 2673/1433 is 1/296631.