Use our free GCF of Fractions Calculator tool to compute the GCF of 747/394, 698/643 i.e 1/253342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/394, 698/643.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/394,698/643
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 747/394,698/643, numerators are 747,698
Denominators are 394,643
The GCF of 747,698 is 1 .
LCM of 394,643 is 253342.
The greatest common factor of 747/394,698/643 = [GCF of 747,698]/[LCM of 394,643]= 1/253342
Therefore, the GCF of 747/394,698/643 is 1/253342.
To find the highest common factor of 747,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 698 are 1, 2, 349, 698
The HCF of 747,698 is 1.
Lets's calculate GCF of 747,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 747,698 . The biggest common factor number is the GCF number.
So the greatest common factor 747,698 is 1.
Lets's calculate LCM of 394,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 253342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253342
Therefore, the GCF of Fractions 747/394,698/643 is 1/253342
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 394,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,643) x common factors =1 x 1 = 1
LCM(394,643) = ( 394 × 643 ) / 1
LCM(394,643) = 253342 / 1
LCM(394,643) = 253342
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 747,698?
The HCF of 747,698 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 747/394, 698/643?
Answer: GCF of Numerators as per given numbers 747/394, 698/643 is
GCF of Numerators i.e. for 747,698 is 1
LCM of denominators i.e. for 394,643 is 253342.
Thus, GCF of Fractions is 1/253342.Finally, GCF of Fractions for 747/394, 698/643 is 1/253342.