GCF of 981/226, 102/494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 981/226, 102/494 i.e 3/55822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 981/226, 102/494.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 981/226,102/494?
Given fractions are 981/226,102/494
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 981/226,102/494, numerators are 981,102
Denominators are 226,494
The GCF of 981,102 is 3 .
LCM of 226,494 is 55822.
The greatest common factor of 981/226,102/494 = [GCF of 981,102]/[LCM of 226,494]= 3/55822
Therefore, the GCF of 981/226,102/494 is 3/55822.
To find the highest common factor of 981,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 981 are 1, 3, 9, 109, 327, 981
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 981,102 is 3.
Lets's calculate GCF of 981,102
| 3 | 981, 102 |
| 327, 34 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 981,102 By Matching Biggest Common Factor Method
Now, list down the factors of 981
:1,3,9,109,327,981
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 981,102 . The biggest common factor number is the GCF number.
So the greatest common factor 981,102 is 3.
Lets's calculate LCM of 226,494
| 2 | 226, 494 |
| 113, 247 |
∴ So the LCM of the given numbers is 2 x 113 x 247 = 55822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55822
Therefore, the GCF of Fractions 981/226,102/494 is 3/55822
Least Common Multiple of 226,494 with GCF Formula
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 226,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,494) x common factors =2 x 1 = 2
LCM(226,494) = ( 226 × 494 ) / 2
LCM(226,494) = 111644 / 2
LCM(226,494) = 55822
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 981/226, 102/494
1. What is the HCF of 981,102?
The HCF of 981,102 is 3
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 981/226, 102/494?
Answer: GCF of Numerators as per given numbers 981/226, 102/494 is
GCF of Numerators i.e. for 981,102 is 3
LCM of denominators i.e. for 226,494 is 55822.
Thus, GCF of Fractions is 3/55822.Finally, GCF of Fractions for 981/226, 102/494 is 3/55822.