Use our free GCF of Fractions Calculator tool to compute the GCF of 64/95, 129/26, 411/332 i.e 1/410020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/95, 129/26, 411/332.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/95,129/26,411/332
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 64/95,129/26,411/332, numerators are 64,129,411
Denominators are 95,26,332
The GCF of 64,129,411 is 1 .
LCM of 95,26,332 is 410020.
The greatest common factor of 64/95,129/26,411/332 = [GCF of 64,129,411]/[LCM of 95,26,332]= 1/410020
Therefore, the GCF of 64/95,129/26,411/332 is 1/410020.
To find the highest common factor of 64,129,411, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 129 are 1, 3, 43, 129
The factors of 411 are 1, 3, 137, 411
The HCF of 64,129,411 is 1.
Lets's calculate GCF of 64,129,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 411
:1,3,137,411
Greatest Common Factor
We found the factors 64,129,411 . The biggest common factor number is the GCF number.
So the greatest common factor 64,129,411 is 1.
Lets's calculate LCM of 95,26,332
2 | 95, 26, 332 |
95, 13, 166 |
∴ So the LCM of the given numbers is 2 x 95 x 13 x 166 = 410020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410020
Therefore, the GCF of Fractions 64/95,129/26,411/332 is 1/410020
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 95,26,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,26,332) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(95,26,332) x common factors =1 x 2 = 2
LCM(95,26,332) = ( 95 × 26 × 332 ) / 2
LCM(95,26,332) = 820040 / 2
LCM(95,26,332) = 410020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 64,129,411?
The HCF of 64,129,411 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 64/95, 129/26, 411/332?
Answer: GCF of Numerators as per given numbers 64/95, 129/26, 411/332 is
GCF of Numerators i.e. for 64,129,411 is 1
LCM of denominators i.e. for 95,26,332 is 410020.
Thus, GCF of Fractions is 1/410020.Finally, GCF of Fractions for 64/95, 129/26, 411/332 is 1/410020.