GCF of 8188/882, 1838/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8188/882, 1838/993 i.e 2/291942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8188/882, 1838/993.
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 8188/882,1838/993?
Given fractions are 8188/882,1838/993
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 8188/882,1838/993, numerators are 8188,1838
Denominators are 882,993
The GCF of 8188,1838 is 2 .
LCM of 882,993 is 291942.
The greatest common factor of 8188/882,1838/993 = [GCF of 8188,1838]/[LCM of 882,993]= 2/291942
Therefore, the GCF of 8188/882,1838/993 is 2/291942.
To find the highest common factor of 8188,1838, we have to find the factors of both numbers and list the highest common factor.
The factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188
The factors of 1838 are 1, 2, 919, 1838
The HCF of 8188,1838 is 2.
Lets's calculate GCF of 8188,1838
| 2 | 8188, 1838 |
| 4094, 919 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8188,1838 By Matching Biggest Common Factor Method
Now, list down the factors of 8188
:1,2,4,23,46,89,92,178,356,2047,4094,8188
Now, list down the factors of 1838
:1,2,919,1838
Greatest Common Factor
We found the factors 8188,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 8188,1838 is 2.
Lets's calculate LCM of 882,993
| 3 | 882, 993 |
| 294, 331 |
∴ So the LCM of the given numbers is 3 x 294 x 331 = 291942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/291942
Therefore, the GCF of Fractions 8188/882,1838/993 is 2/291942
Least Common Multiple of 882,993 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 882,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(882,993) x common factors =3 x 1 = 3
LCM(882,993) = ( 882 × 993 ) / 3
LCM(882,993) = 875826 / 3
LCM(882,993) = 291942
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FAQs on GCF of Fractions of 8188/882, 1838/993
1. What is the HCF of 8188,1838?
The HCF of 8188,1838 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 8188/882, 1838/993?
Answer: GCF of Numerators as per given numbers 8188/882, 1838/993 is
GCF of Numerators i.e. for 8188,1838 is 2
LCM of denominators i.e. for 882,993 is 291942.
Thus, GCF of Fractions is 2/291942.Finally, GCF of Fractions for 8188/882, 1838/993 is 2/291942.