Use our free GCF of Fractions Calculator tool to compute the GCF of 96/33, 641/17, 670/338 i.e 1/189618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/33, 641/17, 670/338.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/33,641/17,670/338
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 96/33,641/17,670/338, numerators are 96,641,670
Denominators are 33,17,338
The GCF of 96,641,670 is 1 .
LCM of 33,17,338 is 189618.
The greatest common factor of 96/33,641/17,670/338 = [GCF of 96,641,670]/[LCM of 33,17,338]= 1/189618
Therefore, the GCF of 96/33,641/17,670/338 is 1/189618.
To find the highest common factor of 96,641,670, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 641 are 1, 641
The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670
The HCF of 96,641,670 is 1.
Lets's calculate GCF of 96,641,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 641
:1,641
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 96,641,670 . The biggest common factor number is the GCF number.
So the greatest common factor 96,641,670 is 1.
Lets's calculate LCM of 33,17,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 189618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189618
Therefore, the GCF of Fractions 96/33,641/17,670/338 is 1/189618
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 33,17,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,17,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,17,338) x common factors =1 x 1 = 1
LCM(33,17,338) = ( 33 × 17 × 338 ) / 1
LCM(33,17,338) = 189618 / 1
LCM(33,17,338) = 189618
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,641,670?
The HCF of 96,641,670 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 96/33, 641/17, 670/338?
Answer: GCF of Numerators as per given numbers 96/33, 641/17, 670/338 is
GCF of Numerators i.e. for 96,641,670 is 1
LCM of denominators i.e. for 33,17,338 is 189618.
Thus, GCF of Fractions is 1/189618.Finally, GCF of Fractions for 96/33, 641/17, 670/338 is 1/189618.