Use our free GCF of Fractions Calculator tool to compute the GCF of 86/747, 8551/6465 i.e 1/1609785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/747, 8551/6465.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/747,8551/6465
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 86/747,8551/6465, numerators are 86,8551
Denominators are 747,6465
The GCF of 86,8551 is 1 .
LCM of 747,6465 is 1609785.
The greatest common factor of 86/747,8551/6465 = [GCF of 86,8551]/[LCM of 747,6465]= 1/1609785
Therefore, the GCF of 86/747,8551/6465 is 1/1609785.
To find the highest common factor of 86,8551, 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 8551 are 1, 17, 503, 8551
The HCF of 86,8551 is 1.
Lets's calculate GCF of 86,8551
∴ 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 8551
:1,17,503,8551
Greatest Common Factor
We found the factors 86,8551 . The biggest common factor number is the GCF number.
So the greatest common factor 86,8551 is 1.
Lets's calculate LCM of 747,6465
3 | 747, 6465 |
249, 2155 |
∴ So the LCM of the given numbers is 3 x 249 x 2155 = 1609785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1609785
Therefore, the GCF of Fractions 86/747,8551/6465 is 1/1609785
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 747,6465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,6465) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(747,6465) x common factors =3 x 1 = 3
LCM(747,6465) = ( 747 × 6465 ) / 3
LCM(747,6465) = 4829355 / 3
LCM(747,6465) = 1609785
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,8551?
The HCF of 86,8551 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 86/747, 8551/6465?
Answer: GCF of Numerators as per given numbers 86/747, 8551/6465 is
GCF of Numerators i.e. for 86,8551 is 1
LCM of denominators i.e. for 747,6465 is 1609785.
Thus, GCF of Fractions is 1/1609785.Finally, GCF of Fractions for 86/747, 8551/6465 is 1/1609785.