Use our free GCF of Fractions Calculator tool to compute the GCF of 6933/721, 6679/747 i.e 1/538587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6933/721, 6679/747.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6933/721,6679/747
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 6933/721,6679/747, numerators are 6933,6679
Denominators are 721,747
The GCF of 6933,6679 is 1 .
LCM of 721,747 is 538587.
The greatest common factor of 6933/721,6679/747 = [GCF of 6933,6679]/[LCM of 721,747]= 1/538587
Therefore, the GCF of 6933/721,6679/747 is 1/538587.
To find the highest common factor of 6933,6679, we have to find the factors of both numbers and list the highest common factor.
The factors of 6933 are 1, 3, 2311, 6933
The factors of 6679 are 1, 6679
The HCF of 6933,6679 is 1.
Lets's calculate GCF of 6933,6679
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6933
:1,3,2311,6933
Now, list down the factors of 6679
:1,6679
Greatest Common Factor
We found the factors 6933,6679 . The biggest common factor number is the GCF number.
So the greatest common factor 6933,6679 is 1.
Lets's calculate LCM of 721,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 538587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/538587
Therefore, the GCF of Fractions 6933/721,6679/747 is 1/538587
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 721,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,747) x common factors =1 x 1 = 1
LCM(721,747) = ( 721 × 747 ) / 1
LCM(721,747) = 538587 / 1
LCM(721,747) = 538587
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6933,6679?
The HCF of 6933,6679 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 6933/721, 6679/747?
Answer: GCF of Numerators as per given numbers 6933/721, 6679/747 is
GCF of Numerators i.e. for 6933,6679 is 1
LCM of denominators i.e. for 721,747 is 538587.
Thus, GCF of Fractions is 1/538587.Finally, GCF of Fractions for 6933/721, 6679/747 is 1/538587.