Use our free GCF of Fractions Calculator tool to compute the GCF of 121/267, 242/781 i.e 121/208527 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/267, 242/781.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 121/267,242/781
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 121/267,242/781, numerators are 121,242
Denominators are 267,781
The GCF of 121,242 is 121 .
LCM of 267,781 is 208527.
The greatest common factor of 121/267,242/781 = [GCF of 121,242]/[LCM of 267,781]= 121/208527
Therefore, the GCF of 121/267,242/781 is 121/208527.
To find the highest common factor of 121,242, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 242 are 1, 2, 11, 22, 121, 242
The HCF of 121,242 is 121.
Lets's calculate GCF of 121,242
11 | 121, 242 |
11 | 11, 22 |
1, 2 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 121,242 . The biggest common factor number is the GCF number.
So the greatest common factor 121,242 is 121.
Lets's calculate LCM of 267,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 208527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/208527
Therefore, the GCF of Fractions 121/267,242/781 is 121/208527
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 267,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,781) x common factors =1 x 1 = 1
LCM(267,781) = ( 267 × 781 ) / 1
LCM(267,781) = 208527 / 1
LCM(267,781) = 208527
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 121,242?
The HCF of 121,242 is 121
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 121/267, 242/781?
Answer: GCF of Numerators as per given numbers 121/267, 242/781 is
GCF of Numerators i.e. for 121,242 is 121
LCM of denominators i.e. for 267,781 is 208527.
Thus, GCF of Fractions is 121/208527.Finally, GCF of Fractions for 121/267, 242/781 is 121/208527.