Use our free GCF of Fractions Calculator tool to compute the GCF of 93/64, 82/356, 907/798 i.e 1/2272704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/64, 82/356, 907/798.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/64,82/356,907/798
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 93/64,82/356,907/798, numerators are 93,82,907
Denominators are 64,356,798
The GCF of 93,82,907 is 1 .
LCM of 64,356,798 is 2272704.
The greatest common factor of 93/64,82/356,907/798 = [GCF of 93,82,907]/[LCM of 64,356,798]= 1/2272704
Therefore, the GCF of 93/64,82/356,907/798 is 1/2272704.
To find the highest common factor of 93,82,907, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 82 are 1, 2, 41, 82
The factors of 907 are 1, 907
The HCF of 93,82,907 is 1.
Lets's calculate GCF of 93,82,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 907
:1,907
Greatest Common Factor
We found the factors 93,82,907 . The biggest common factor number is the GCF number.
So the greatest common factor 93,82,907 is 1.
Lets's calculate LCM of 64,356,798
2 | 64, 356, 798 |
2 | 32, 178, 399 |
16, 89, 399 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 89 x 399 = 2272704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2272704
Therefore, the GCF of Fractions 93/64,82/356,907/798 is 1/2272704
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 64,356,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,356,798) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(64,356,798) x common factors =2 x 4 = 8
LCM(64,356,798) = ( 64 × 356 × 798 ) / 8
LCM(64,356,798) = 18181632 / 8
LCM(64,356,798) = 2272704
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 93,82,907?
The HCF of 93,82,907 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 93/64, 82/356, 907/798?
Answer: GCF of Numerators as per given numbers 93/64, 82/356, 907/798 is
GCF of Numerators i.e. for 93,82,907 is 1
LCM of denominators i.e. for 64,356,798 is 2272704.
Thus, GCF of Fractions is 1/2272704.Finally, GCF of Fractions for 93/64, 82/356, 907/798 is 1/2272704.