Use our free GCF of Fractions Calculator tool to compute the GCF of 717/651, 682/734 i.e 1/477834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 717/651, 682/734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 717/651,682/734
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 717/651,682/734, numerators are 717,682
Denominators are 651,734
The GCF of 717,682 is 1 .
LCM of 651,734 is 477834.
The greatest common factor of 717/651,682/734 = [GCF of 717,682]/[LCM of 651,734]= 1/477834
Therefore, the GCF of 717/651,682/734 is 1/477834.
To find the highest common factor of 717,682, we have to find the factors of both numbers and list the highest common factor.
The factors of 717 are 1, 3, 239, 717
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 717,682 is 1.
Lets's calculate GCF of 717,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 717
:1,3,239,717
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 717,682 . The biggest common factor number is the GCF number.
So the greatest common factor 717,682 is 1.
Lets's calculate LCM of 651,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 477834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477834
Therefore, the GCF of Fractions 717/651,682/734 is 1/477834
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 651,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,734) x common factors =1 x 1 = 1
LCM(651,734) = ( 651 × 734 ) / 1
LCM(651,734) = 477834 / 1
LCM(651,734) = 477834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 717,682?
The HCF of 717,682 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 717/651, 682/734?
Answer: GCF of Numerators as per given numbers 717/651, 682/734 is
GCF of Numerators i.e. for 717,682 is 1
LCM of denominators i.e. for 651,734 is 477834.
Thus, GCF of Fractions is 1/477834.Finally, GCF of Fractions for 717/651, 682/734 is 1/477834.