Use our free GCF of Fractions Calculator tool to compute the GCF of 86/59, 41/749, 253/321 i.e 1/132573 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/59, 41/749, 253/321.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/59,41/749,253/321
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 86/59,41/749,253/321, numerators are 86,41,253
Denominators are 59,749,321
The GCF of 86,41,253 is 1 .
LCM of 59,749,321 is 132573.
The greatest common factor of 86/59,41/749,253/321 = [GCF of 86,41,253]/[LCM of 59,749,321]= 1/132573
Therefore, the GCF of 86/59,41/749,253/321 is 1/132573.
To find the highest common factor of 86,41,253, 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 41 are 1, 41
The factors of 253 are 1, 11, 23, 253
The HCF of 86,41,253 is 1.
Lets's calculate GCF of 86,41,253
∴ 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 41
:1,41
Now, list down the factors of 253
:1,11,23,253
Greatest Common Factor
We found the factors 86,41,253 . The biggest common factor number is the GCF number.
So the greatest common factor 86,41,253 is 1.
Lets's calculate LCM of 59,749,321
107 | 59, 749, 321 |
59, 7, 3 |
∴ So the LCM of the given numbers is 107 x 59 x 7 x 3 = 132573
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132573
Therefore, the GCF of Fractions 86/59,41/749,253/321 is 1/132573
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 59,749,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,749,321) = 1
common factors(in case of two or more numbers have common factors) = 107
GCF(59,749,321) x common factors =1 x 107 = 107
LCM(59,749,321) = ( 59 × 749 × 321 ) / 107
LCM(59,749,321) = 14185311 / 107
LCM(59,749,321) = 132573
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,41,253?
The HCF of 86,41,253 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 86/59, 41/749, 253/321?
Answer: GCF of Numerators as per given numbers 86/59, 41/749, 253/321 is
GCF of Numerators i.e. for 86,41,253 is 1
LCM of denominators i.e. for 59,749,321 is 132573.
Thus, GCF of Fractions is 1/132573.Finally, GCF of Fractions for 86/59, 41/749, 253/321 is 1/132573.