GCF of 9412/506, 8891/2484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9412/506, 8891/2484 i.e 1/27324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9412/506, 8891/2484.
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 9412/506,8891/2484?
Given fractions are 9412/506,8891/2484
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 9412/506,8891/2484, numerators are 9412,8891
Denominators are 506,2484
The GCF of 9412,8891 is 1 .
LCM of 506,2484 is 27324.
The greatest common factor of 9412/506,8891/2484 = [GCF of 9412,8891]/[LCM of 506,2484]= 1/27324
Therefore, the GCF of 9412/506,8891/2484 is 1/27324.
To find the highest common factor of 9412,8891, we have to find the factors of both numbers and list the highest common factor.
The factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412
The factors of 8891 are 1, 17, 523, 8891
The HCF of 9412,8891 is 1.
Lets's calculate GCF of 9412,8891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9412,8891 By Matching Biggest Common Factor Method
Now, list down the factors of 9412
:1,2,4,13,26,52,181,362,724,2353,4706,9412
Now, list down the factors of 8891
:1,17,523,8891
Greatest Common Factor
We found the factors 9412,8891 . The biggest common factor number is the GCF number.
So the greatest common factor 9412,8891 is 1.
Lets's calculate LCM of 506,2484
| 2 | 506, 2484 |
| 23 | 253, 1242 |
| 11, 54 |
∴ So the LCM of the given numbers is 2 x 23 x 11 x 54 = 27324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27324
Therefore, the GCF of Fractions 9412/506,8891/2484 is 1/27324
Least Common Multiple of 506,2484 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 506,2484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,2484) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(506,2484) x common factors =46 x 1 = 46
LCM(506,2484) = ( 506 × 2484 ) / 46
LCM(506,2484) = 1256904 / 46
LCM(506,2484) = 27324
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FAQs on GCF of Fractions of 9412/506, 8891/2484
1. What is the HCF of 9412,8891?
The HCF of 9412,8891 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 9412/506, 8891/2484?
Answer: GCF of Numerators as per given numbers 9412/506, 8891/2484 is
GCF of Numerators i.e. for 9412,8891 is 1
LCM of denominators i.e. for 506,2484 is 27324.
Thus, GCF of Fractions is 1/27324.Finally, GCF of Fractions for 9412/506, 8891/2484 is 1/27324.