Use our free GCF of Fractions Calculator tool to compute the GCF of 86/29, 129/88, 301/572 i.e 43/33176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/29, 129/88, 301/572.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/29,129/88,301/572
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 86/29,129/88,301/572, numerators are 86,129,301
Denominators are 29,88,572
The GCF of 86,129,301 is 43 .
LCM of 29,88,572 is 33176.
The greatest common factor of 86/29,129/88,301/572 = [GCF of 86,129,301]/[LCM of 29,88,572]= 43/33176
Therefore, the GCF of 86/29,129/88,301/572 is 43/33176.
To find the highest common factor of 86,129,301, 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 129 are 1, 3, 43, 129
The factors of 301 are 1, 7, 43, 301
The HCF of 86,129,301 is 43.
Lets's calculate GCF of 86,129,301
43 | 86, 129, 301 |
2, 3, 7 |
∴ So the GCF of the given numbers is 43 = 43
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 301
:1,7,43,301
Greatest Common Factor
We found the factors 86,129,301 . The biggest common factor number is the GCF number.
So the greatest common factor 86,129,301 is 43.
Lets's calculate LCM of 29,88,572
2 | 29, 88, 572 |
2 | 29, 44, 286 |
11 | 29, 22, 143 |
29, 2, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 29 x 2 x 13 = 33176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/33176
Therefore, the GCF of Fractions 86/29,129/88,301/572 is 43/33176
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 29,88,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,88,572) = 1
common factors(in case of two or more numbers have common factors) = 44
GCF(29,88,572) x common factors =1 x 44 = 44
LCM(29,88,572) = ( 29 × 88 × 572 ) / 44
LCM(29,88,572) = 1459744 / 44
LCM(29,88,572) = 33176
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,129,301?
The HCF of 86,129,301 is 43
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 86/29, 129/88, 301/572?
Answer: GCF of Numerators as per given numbers 86/29, 129/88, 301/572 is
GCF of Numerators i.e. for 86,129,301 is 43
LCM of denominators i.e. for 29,88,572 is 33176.
Thus, GCF of Fractions is 43/33176.Finally, GCF of Fractions for 86/29, 129/88, 301/572 is 43/33176.