GCF of 8918/555, 5458/9186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8918/555, 5458/9186 i.e 2/1699410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8918/555, 5458/9186.
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 8918/555,5458/9186?
Given fractions are 8918/555,5458/9186
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 8918/555,5458/9186, numerators are 8918,5458
Denominators are 555,9186
The GCF of 8918,5458 is 2 .
LCM of 555,9186 is 1699410.
The greatest common factor of 8918/555,5458/9186 = [GCF of 8918,5458]/[LCM of 555,9186]= 2/1699410
Therefore, the GCF of 8918/555,5458/9186 is 2/1699410.
To find the highest common factor of 8918,5458, we have to find the factors of both numbers and list the highest common factor.
The factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918
The factors of 5458 are 1, 2, 2729, 5458
The HCF of 8918,5458 is 2.
Lets's calculate GCF of 8918,5458
| 2 | 8918, 5458 |
| 4459, 2729 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8918,5458 By Matching Biggest Common Factor Method
Now, list down the factors of 8918
:1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918
Now, list down the factors of 5458
:1,2,2729,5458
Greatest Common Factor
We found the factors 8918,5458 . The biggest common factor number is the GCF number.
So the greatest common factor 8918,5458 is 2.
Lets's calculate LCM of 555,9186
| 3 | 555, 9186 |
| 185, 3062 |
∴ So the LCM of the given numbers is 3 x 185 x 3062 = 1699410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1699410
Therefore, the GCF of Fractions 8918/555,5458/9186 is 2/1699410
Least Common Multiple of 555,9186 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 555,9186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,9186) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(555,9186) x common factors =3 x 1 = 3
LCM(555,9186) = ( 555 × 9186 ) / 3
LCM(555,9186) = 5098230 / 3
LCM(555,9186) = 1699410
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FAQs on GCF of Fractions of 8918/555, 5458/9186
1. What is the HCF of 8918,5458?
The HCF of 8918,5458 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 8918/555, 5458/9186?
Answer: GCF of Numerators as per given numbers 8918/555, 5458/9186 is
GCF of Numerators i.e. for 8918,5458 is 2
LCM of denominators i.e. for 555,9186 is 1699410.
Thus, GCF of Fractions is 2/1699410.Finally, GCF of Fractions for 8918/555, 5458/9186 is 2/1699410.