Use our free GCF of Fractions Calculator tool to compute the GCF of 267/983, 906/273 i.e 3/268359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/983, 906/273.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 267/983,906/273
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 267/983,906/273, numerators are 267,906
Denominators are 983,273
The GCF of 267,906 is 3 .
LCM of 983,273 is 268359.
The greatest common factor of 267/983,906/273 = [GCF of 267,906]/[LCM of 983,273]= 3/268359
Therefore, the GCF of 267/983,906/273 is 3/268359.
To find the highest common factor of 267,906, we have to find the factors of both numbers and list the highest common factor.
The factors of 267 are 1, 3, 89, 267
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The HCF of 267,906 is 3.
Lets's calculate GCF of 267,906
3 | 267, 906 |
89, 302 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 267,906 . The biggest common factor number is the GCF number.
So the greatest common factor 267,906 is 3.
Lets's calculate LCM of 983,273
Given numbers has no common factors except 1. So, there LCM is their product i.e 268359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/268359
Therefore, the GCF of Fractions 267/983,906/273 is 3/268359
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 983,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,273) x common factors =1 x 1 = 1
LCM(983,273) = ( 983 × 273 ) / 1
LCM(983,273) = 268359 / 1
LCM(983,273) = 268359
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 267,906?
The HCF of 267,906 is 3
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 267/983, 906/273?
Answer: GCF of Numerators as per given numbers 267/983, 906/273 is
GCF of Numerators i.e. for 267,906 is 3
LCM of denominators i.e. for 983,273 is 268359.
Thus, GCF of Fractions is 3/268359.Finally, GCF of Fractions for 267/983, 906/273 is 3/268359.