Use our free GCF of Fractions Calculator tool to compute the GCF of 86/749, 51/869, 411/865 i.e 1/563012065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/749, 51/869, 411/865.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/749,51/869,411/865
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 86/749,51/869,411/865, numerators are 86,51,411
Denominators are 749,869,865
The GCF of 86,51,411 is 1 .
LCM of 749,869,865 is 563012065.
The greatest common factor of 86/749,51/869,411/865 = [GCF of 86,51,411]/[LCM of 749,869,865]= 1/563012065
Therefore, the GCF of 86/749,51/869,411/865 is 1/563012065.
To find the highest common factor of 86,51,411, 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 51 are 1, 3, 17, 51
The factors of 411 are 1, 3, 137, 411
The HCF of 86,51,411 is 1.
Lets's calculate GCF of 86,51,411
∴ 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 51
:1,3,17,51
Now, list down the factors of 411
:1,3,137,411
Greatest Common Factor
We found the factors 86,51,411 . The biggest common factor number is the GCF number.
So the greatest common factor 86,51,411 is 1.
Lets's calculate LCM of 749,869,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 563012065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563012065
Therefore, the GCF of Fractions 86/749,51/869,411/865 is 1/563012065
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 749,869,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,869,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,869,865) x common factors =1 x 1 = 1
LCM(749,869,865) = ( 749 × 869 × 865 ) / 1
LCM(749,869,865) = 563012065 / 1
LCM(749,869,865) = 563012065
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,51,411?
The HCF of 86,51,411 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 86/749, 51/869, 411/865?
Answer: GCF of Numerators as per given numbers 86/749, 51/869, 411/865 is
GCF of Numerators i.e. for 86,51,411 is 1
LCM of denominators i.e. for 749,869,865 is 563012065.
Thus, GCF of Fractions is 1/563012065.Finally, GCF of Fractions for 86/749, 51/869, 411/865 is 1/563012065.