Use our free GCF of Fractions Calculator tool to compute the GCF of 135/966, 9962/254 i.e 1/122682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 135/966, 9962/254.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 135/966,9962/254
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 135/966,9962/254, numerators are 135,9962
Denominators are 966,254
The GCF of 135,9962 is 1 .
LCM of 966,254 is 122682.
The greatest common factor of 135/966,9962/254 = [GCF of 135,9962]/[LCM of 966,254]= 1/122682
Therefore, the GCF of 135/966,9962/254 is 1/122682.
To find the highest common factor of 135,9962, we have to find the factors of both numbers and list the highest common factor.
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962
The HCF of 135,9962 is 1.
Lets's calculate GCF of 135,9962
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 135
:1,3,5,9,15,27,45,135
Now, list down the factors of 9962
:1,2,17,34,293,586,4981,9962
Greatest Common Factor
We found the factors 135,9962 . The biggest common factor number is the GCF number.
So the greatest common factor 135,9962 is 1.
Lets's calculate LCM of 966,254
2 | 966, 254 |
483, 127 |
∴ So the LCM of the given numbers is 2 x 483 x 127 = 122682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122682
Therefore, the GCF of Fractions 135/966,9962/254 is 1/122682
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 966,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,254) x common factors =2 x 1 = 2
LCM(966,254) = ( 966 × 254 ) / 2
LCM(966,254) = 245364 / 2
LCM(966,254) = 122682
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 135,9962?
The HCF of 135,9962 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 135/966, 9962/254?
Answer: GCF of Numerators as per given numbers 135/966, 9962/254 is
GCF of Numerators i.e. for 135,9962 is 1
LCM of denominators i.e. for 966,254 is 122682.
Thus, GCF of Fractions is 1/122682.Finally, GCF of Fractions for 135/966, 9962/254 is 1/122682.