Use our free GCF of Fractions Calculator tool to compute the GCF of 97/739, 32/245, 464/326 i.e 1/59023930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/739, 32/245, 464/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/739,32/245,464/326
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 97/739,32/245,464/326, numerators are 97,32,464
Denominators are 739,245,326
The GCF of 97,32,464 is 1 .
LCM of 739,245,326 is 59023930.
The greatest common factor of 97/739,32/245,464/326 = [GCF of 97,32,464]/[LCM of 739,245,326]= 1/59023930
Therefore, the GCF of 97/739,32/245,464/326 is 1/59023930.
To find the highest common factor of 97,32,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 97,32,464 is 1.
Lets's calculate GCF of 97,32,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 97,32,464 . The biggest common factor number is the GCF number.
So the greatest common factor 97,32,464 is 1.
Lets's calculate LCM of 739,245,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 59023930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59023930
Therefore, the GCF of Fractions 97/739,32/245,464/326 is 1/59023930
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 739,245,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,245,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,245,326) x common factors =1 x 1 = 1
LCM(739,245,326) = ( 739 × 245 × 326 ) / 1
LCM(739,245,326) = 59023930 / 1
LCM(739,245,326) = 59023930
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,32,464?
The HCF of 97,32,464 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 97/739, 32/245, 464/326?
Answer: GCF of Numerators as per given numbers 97/739, 32/245, 464/326 is
GCF of Numerators i.e. for 97,32,464 is 1
LCM of denominators i.e. for 739,245,326 is 59023930.
Thus, GCF of Fractions is 1/59023930.Finally, GCF of Fractions for 97/739, 32/245, 464/326 is 1/59023930.