GCF of 9992/904, 2258/4108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9992/904, 2258/4108 i.e 2/928408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9992/904, 2258/4108.
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 9992/904,2258/4108?
Given fractions are 9992/904,2258/4108
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 9992/904,2258/4108, numerators are 9992,2258
Denominators are 904,4108
The GCF of 9992,2258 is 2 .
LCM of 904,4108 is 928408.
The greatest common factor of 9992/904,2258/4108 = [GCF of 9992,2258]/[LCM of 904,4108]= 2/928408
Therefore, the GCF of 9992/904,2258/4108 is 2/928408.
To find the highest common factor of 9992,2258, we have to find the factors of both numbers and list the highest common factor.
The factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992
The factors of 2258 are 1, 2, 1129, 2258
The HCF of 9992,2258 is 2.
Lets's calculate GCF of 9992,2258
| 2 | 9992, 2258 |
| 4996, 1129 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9992,2258 By Matching Biggest Common Factor Method
Now, list down the factors of 9992
:1,2,4,8,1249,2498,4996,9992
Now, list down the factors of 2258
:1,2,1129,2258
Greatest Common Factor
We found the factors 9992,2258 . The biggest common factor number is the GCF number.
So the greatest common factor 9992,2258 is 2.
Lets's calculate LCM of 904,4108
| 2 | 904, 4108 |
| 2 | 452, 2054 |
| 226, 1027 |
∴ So the LCM of the given numbers is 2 x 2 x 226 x 1027 = 928408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/928408
Therefore, the GCF of Fractions 9992/904,2258/4108 is 2/928408
Least Common Multiple of 904,4108 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 904,4108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,4108) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(904,4108) x common factors =4 x 1 = 4
LCM(904,4108) = ( 904 × 4108 ) / 4
LCM(904,4108) = 3713632 / 4
LCM(904,4108) = 928408
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FAQs on GCF of Fractions of 9992/904, 2258/4108
1. What is the HCF of 9992,2258?
The HCF of 9992,2258 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 9992/904, 2258/4108?
Answer: GCF of Numerators as per given numbers 9992/904, 2258/4108 is
GCF of Numerators i.e. for 9992,2258 is 2
LCM of denominators i.e. for 904,4108 is 928408.
Thus, GCF of Fractions is 2/928408.Finally, GCF of Fractions for 9992/904, 2258/4108 is 2/928408.