Use our free GCF of Fractions Calculator tool to compute the GCF of 867/473, 6593/3652 i.e 1/157036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/473, 6593/3652.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 867/473,6593/3652
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 867/473,6593/3652, numerators are 867,6593
Denominators are 473,3652
The GCF of 867,6593 is 1 .
LCM of 473,3652 is 157036.
The greatest common factor of 867/473,6593/3652 = [GCF of 867,6593]/[LCM of 473,3652]= 1/157036
Therefore, the GCF of 867/473,6593/3652 is 1/157036.
To find the highest common factor of 867,6593, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 6593 are 1, 19, 347, 6593
The HCF of 867,6593 is 1.
Lets's calculate GCF of 867,6593
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 6593
:1,19,347,6593
Greatest Common Factor
We found the factors 867,6593 . The biggest common factor number is the GCF number.
So the greatest common factor 867,6593 is 1.
Lets's calculate LCM of 473,3652
11 | 473, 3652 |
43, 332 |
∴ So the LCM of the given numbers is 11 x 43 x 332 = 157036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157036
Therefore, the GCF of Fractions 867/473,6593/3652 is 1/157036
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 473,3652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,3652) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(473,3652) x common factors =11 x 1 = 11
LCM(473,3652) = ( 473 × 3652 ) / 11
LCM(473,3652) = 1727396 / 11
LCM(473,3652) = 157036
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 867,6593?
The HCF of 867,6593 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 867/473, 6593/3652?
Answer: GCF of Numerators as per given numbers 867/473, 6593/3652 is
GCF of Numerators i.e. for 867,6593 is 1
LCM of denominators i.e. for 473,3652 is 157036.
Thus, GCF of Fractions is 1/157036.Finally, GCF of Fractions for 867/473, 6593/3652 is 1/157036.