GCF of 9226/226, 9918/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9226/226, 9918/766 i.e 2/86558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9226/226, 9918/766.
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 9226/226,9918/766?
Given fractions are 9226/226,9918/766
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 9226/226,9918/766, numerators are 9226,9918
Denominators are 226,766
The GCF of 9226,9918 is 2 .
LCM of 226,766 is 86558.
The greatest common factor of 9226/226,9918/766 = [GCF of 9226,9918]/[LCM of 226,766]= 2/86558
Therefore, the GCF of 9226/226,9918/766 is 2/86558.
To find the highest common factor of 9226,9918, we have to find the factors of both numbers and list the highest common factor.
The factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226
The factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918
The HCF of 9226,9918 is 2.
Lets's calculate GCF of 9226,9918
| 2 | 9226, 9918 |
| 4613, 4959 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9226,9918 By Matching Biggest Common Factor Method
Now, list down the factors of 9226
:1,2,7,14,659,1318,4613,9226
Now, list down the factors of 9918
:1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918
Greatest Common Factor
We found the factors 9226,9918 . The biggest common factor number is the GCF number.
So the greatest common factor 9226,9918 is 2.
Lets's calculate LCM of 226,766
| 2 | 226, 766 |
| 113, 383 |
∴ So the LCM of the given numbers is 2 x 113 x 383 = 86558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86558
Therefore, the GCF of Fractions 9226/226,9918/766 is 2/86558
Least Common Multiple of 226,766 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 226,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,766) x common factors =2 x 1 = 2
LCM(226,766) = ( 226 × 766 ) / 2
LCM(226,766) = 173116 / 2
LCM(226,766) = 86558
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FAQs on GCF of Fractions of 9226/226, 9918/766
1. What is the HCF of 9226,9918?
The HCF of 9226,9918 is 2
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 9226/226, 9918/766?
Answer: GCF of Numerators as per given numbers 9226/226, 9918/766 is
GCF of Numerators i.e. for 9226,9918 is 2
LCM of denominators i.e. for 226,766 is 86558.
Thus, GCF of Fractions is 2/86558.Finally, GCF of Fractions for 9226/226, 9918/766 is 2/86558.