Use our free GCF of Fractions Calculator tool to compute the GCF of 266/891, 351/278 i.e 1/247698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/891, 351/278.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/891,351/278
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 266/891,351/278, numerators are 266,351
Denominators are 891,278
The GCF of 266,351 is 1 .
LCM of 891,278 is 247698.
The greatest common factor of 266/891,351/278 = [GCF of 266,351]/[LCM of 891,278]= 1/247698
Therefore, the GCF of 266/891,351/278 is 1/247698.
To find the highest common factor of 266,351, we have to find the factors of both numbers and list the highest common factor.
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The HCF of 266,351 is 1.
Lets's calculate GCF of 266,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 266,351 . The biggest common factor number is the GCF number.
So the greatest common factor 266,351 is 1.
Lets's calculate LCM of 891,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 247698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247698
Therefore, the GCF of Fractions 266/891,351/278 is 1/247698
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 891,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(891,278) x common factors =1 x 1 = 1
LCM(891,278) = ( 891 × 278 ) / 1
LCM(891,278) = 247698 / 1
LCM(891,278) = 247698
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 266,351?
The HCF of 266,351 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 266/891, 351/278?
Answer: GCF of Numerators as per given numbers 266/891, 351/278 is
GCF of Numerators i.e. for 266,351 is 1
LCM of denominators i.e. for 891,278 is 247698.
Thus, GCF of Fractions is 1/247698.Finally, GCF of Fractions for 266/891, 351/278 is 1/247698.