Use our free GCF of Fractions Calculator tool to compute the GCF of 27/51, 872/31, 266/166 i.e 1/262446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/51, 872/31, 266/166.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/51,872/31,266/166
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 27/51,872/31,266/166, numerators are 27,872,266
Denominators are 51,31,166
The GCF of 27,872,266 is 1 .
LCM of 51,31,166 is 262446.
The greatest common factor of 27/51,872/31,266/166 = [GCF of 27,872,266]/[LCM of 51,31,166]= 1/262446
Therefore, the GCF of 27/51,872/31,266/166 is 1/262446.
To find the highest common factor of 27,872,266, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The HCF of 27,872,266 is 1.
Lets's calculate GCF of 27,872,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 27,872,266 . The biggest common factor number is the GCF number.
So the greatest common factor 27,872,266 is 1.
Lets's calculate LCM of 51,31,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 262446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262446
Therefore, the GCF of Fractions 27/51,872/31,266/166 is 1/262446
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 51,31,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,31,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,31,166) x common factors =1 x 1 = 1
LCM(51,31,166) = ( 51 × 31 × 166 ) / 1
LCM(51,31,166) = 262446 / 1
LCM(51,31,166) = 262446
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 27,872,266?
The HCF of 27,872,266 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 27/51, 872/31, 266/166?
Answer: GCF of Numerators as per given numbers 27/51, 872/31, 266/166 is
GCF of Numerators i.e. for 27,872,266 is 1
LCM of denominators i.e. for 51,31,166 is 262446.
Thus, GCF of Fractions is 1/262446.Finally, GCF of Fractions for 27/51, 872/31, 266/166 is 1/262446.