Use our free GCF of Fractions Calculator tool to compute the GCF of 131/268, 766/982 i.e 1/131588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 131/268, 766/982.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 131/268,766/982
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 131/268,766/982, numerators are 131,766
Denominators are 268,982
The GCF of 131,766 is 1 .
LCM of 268,982 is 131588.
The greatest common factor of 131/268,766/982 = [GCF of 131,766]/[LCM of 268,982]= 1/131588
Therefore, the GCF of 131/268,766/982 is 1/131588.
To find the highest common factor of 131,766, we have to find the factors of both numbers and list the highest common factor.
The factors of 131 are 1, 131
The factors of 766 are 1, 2, 383, 766
The HCF of 131,766 is 1.
Lets's calculate GCF of 131,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 131
:1,131
Now, list down the factors of 766
:1,2,383,766
Greatest Common Factor
We found the factors 131,766 . The biggest common factor number is the GCF number.
So the greatest common factor 131,766 is 1.
Lets's calculate LCM of 268,982
2 | 268, 982 |
134, 491 |
∴ So the LCM of the given numbers is 2 x 134 x 491 = 131588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131588
Therefore, the GCF of Fractions 131/268,766/982 is 1/131588
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 268,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,982) x common factors =2 x 1 = 2
LCM(268,982) = ( 268 × 982 ) / 2
LCM(268,982) = 263176 / 2
LCM(268,982) = 131588
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 131,766?
The HCF of 131,766 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 131/268, 766/982?
Answer: GCF of Numerators as per given numbers 131/268, 766/982 is
GCF of Numerators i.e. for 131,766 is 1
LCM of denominators i.e. for 268,982 is 131588.
Thus, GCF of Fractions is 1/131588.Finally, GCF of Fractions for 131/268, 766/982 is 1/131588.