GCF of 9118/444, 7226/2524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9118/444, 7226/2524 i.e 2/280164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9118/444, 7226/2524.
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 9118/444,7226/2524?
Given fractions are 9118/444,7226/2524
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 9118/444,7226/2524, numerators are 9118,7226
Denominators are 444,2524
The GCF of 9118,7226 is 2 .
LCM of 444,2524 is 280164.
The greatest common factor of 9118/444,7226/2524 = [GCF of 9118,7226]/[LCM of 444,2524]= 2/280164
Therefore, the GCF of 9118/444,7226/2524 is 2/280164.
To find the highest common factor of 9118,7226, we have to find the factors of both numbers and list the highest common factor.
The factors of 9118 are 1, 2, 47, 94, 97, 194, 4559, 9118
The factors of 7226 are 1, 2, 3613, 7226
The HCF of 9118,7226 is 2.
Lets's calculate GCF of 9118,7226
| 2 | 9118, 7226 |
| 4559, 3613 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9118,7226 By Matching Biggest Common Factor Method
Now, list down the factors of 9118
:1,2,47,94,97,194,4559,9118
Now, list down the factors of 7226
:1,2,3613,7226
Greatest Common Factor
We found the factors 9118,7226 . The biggest common factor number is the GCF number.
So the greatest common factor 9118,7226 is 2.
Lets's calculate LCM of 444,2524
| 2 | 444, 2524 |
| 2 | 222, 1262 |
| 111, 631 |
∴ So the LCM of the given numbers is 2 x 2 x 111 x 631 = 280164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/280164
Therefore, the GCF of Fractions 9118/444,7226/2524 is 2/280164
Least Common Multiple of 444,2524 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 444,2524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,2524) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(444,2524) x common factors =4 x 1 = 4
LCM(444,2524) = ( 444 × 2524 ) / 4
LCM(444,2524) = 1120656 / 4
LCM(444,2524) = 280164
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FAQs on GCF of Fractions of 9118/444, 7226/2524
1. What is the HCF of 9118,7226?
The HCF of 9118,7226 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 9118/444, 7226/2524?
Answer: GCF of Numerators as per given numbers 9118/444, 7226/2524 is
GCF of Numerators i.e. for 9118,7226 is 2
LCM of denominators i.e. for 444,2524 is 280164.
Thus, GCF of Fractions is 2/280164.Finally, GCF of Fractions for 9118/444, 7226/2524 is 2/280164.