Use our free GCF of Fractions Calculator tool to compute the GCF of 207/132, 908/806 i.e 1/53196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 207/132, 908/806.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 207/132,908/806
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 207/132,908/806, numerators are 207,908
Denominators are 132,806
The GCF of 207,908 is 1 .
LCM of 132,806 is 53196.
The greatest common factor of 207/132,908/806 = [GCF of 207,908]/[LCM of 132,806]= 1/53196
Therefore, the GCF of 207/132,908/806 is 1/53196.
To find the highest common factor of 207,908, we have to find the factors of both numbers and list the highest common factor.
The factors of 207 are 1, 3, 9, 23, 69, 207
The factors of 908 are 1, 2, 4, 227, 454, 908
The HCF of 207,908 is 1.
Lets's calculate GCF of 207,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 207
:1,3,9,23,69,207
Now, list down the factors of 908
:1,2,4,227,454,908
Greatest Common Factor
We found the factors 207,908 . The biggest common factor number is the GCF number.
So the greatest common factor 207,908 is 1.
Lets's calculate LCM of 132,806
2 | 132, 806 |
66, 403 |
∴ So the LCM of the given numbers is 2 x 66 x 403 = 53196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53196
Therefore, the GCF of Fractions 207/132,908/806 is 1/53196
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 132,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,806) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(132,806) x common factors =2 x 1 = 2
LCM(132,806) = ( 132 × 806 ) / 2
LCM(132,806) = 106392 / 2
LCM(132,806) = 53196
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 207,908?
The HCF of 207,908 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 207/132, 908/806?
Answer: GCF of Numerators as per given numbers 207/132, 908/806 is
GCF of Numerators i.e. for 207,908 is 1
LCM of denominators i.e. for 132,806 is 53196.
Thus, GCF of Fractions is 1/53196.Finally, GCF of Fractions for 207/132, 908/806 is 1/53196.