Use our free GCF of Fractions Calculator tool to compute the GCF of 86/398, 69/420, 713/652 i.e 1/13623540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/398, 69/420, 713/652.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/398,69/420,713/652
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 86/398,69/420,713/652, numerators are 86,69,713
Denominators are 398,420,652
The GCF of 86,69,713 is 1 .
LCM of 398,420,652 is 13623540.
The greatest common factor of 86/398,69/420,713/652 = [GCF of 86,69,713]/[LCM of 398,420,652]= 1/13623540
Therefore, the GCF of 86/398,69/420,713/652 is 1/13623540.
To find the highest common factor of 86,69,713, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 69 are 1, 3, 23, 69
The factors of 713 are 1, 23, 31, 713
The HCF of 86,69,713 is 1.
Lets's calculate GCF of 86,69,713
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 713
:1,23,31,713
Greatest Common Factor
We found the factors 86,69,713 . The biggest common factor number is the GCF number.
So the greatest common factor 86,69,713 is 1.
Lets's calculate LCM of 398,420,652
2 | 398, 420, 652 |
2 | 199, 210, 326 |
199, 105, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 199 x 105 x 163 = 13623540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13623540
Therefore, the GCF of Fractions 86/398,69/420,713/652 is 1/13623540
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 398,420,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,420,652) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(398,420,652) x common factors =2 x 4 = 8
LCM(398,420,652) = ( 398 × 420 × 652 ) / 8
LCM(398,420,652) = 108988320 / 8
LCM(398,420,652) = 13623540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,69,713?
The HCF of 86,69,713 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 86/398, 69/420, 713/652?
Answer: GCF of Numerators as per given numbers 86/398, 69/420, 713/652 is
GCF of Numerators i.e. for 86,69,713 is 1
LCM of denominators i.e. for 398,420,652 is 13623540.
Thus, GCF of Fractions is 1/13623540.Finally, GCF of Fractions for 86/398, 69/420, 713/652 is 1/13623540.