GCF of 8171/986, 6838/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8171/986, 6838/269 i.e 1/265234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8171/986, 6838/269.
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 8171/986,6838/269?
Given fractions are 8171/986,6838/269
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 8171/986,6838/269, numerators are 8171,6838
Denominators are 986,269
The GCF of 8171,6838 is 1 .
LCM of 986,269 is 265234.
The greatest common factor of 8171/986,6838/269 = [GCF of 8171,6838]/[LCM of 986,269]= 1/265234
Therefore, the GCF of 8171/986,6838/269 is 1/265234.
To find the highest common factor of 8171,6838, we have to find the factors of both numbers and list the highest common factor.
The factors of 8171 are 1, 8171
The factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838
The HCF of 8171,6838 is 1.
Lets's calculate GCF of 8171,6838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8171,6838 By Matching Biggest Common Factor Method
Now, list down the factors of 8171
:1,8171
Now, list down the factors of 6838
:1,2,13,26,263,526,3419,6838
Greatest Common Factor
We found the factors 8171,6838 . The biggest common factor number is the GCF number.
So the greatest common factor 8171,6838 is 1.
Lets's calculate LCM of 986,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 265234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265234
Therefore, the GCF of Fractions 8171/986,6838/269 is 1/265234
Least Common Multiple of 986,269 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 986,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,269) x common factors =1 x 1 = 1
LCM(986,269) = ( 986 × 269 ) / 1
LCM(986,269) = 265234 / 1
LCM(986,269) = 265234
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FAQs on GCF of Fractions of 8171/986, 6838/269
1. What is the HCF of 8171,6838?
The HCF of 8171,6838 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 8171/986, 6838/269?
Answer: GCF of Numerators as per given numbers 8171/986, 6838/269 is
GCF of Numerators i.e. for 8171,6838 is 1
LCM of denominators i.e. for 986,269 is 265234.
Thus, GCF of Fractions is 1/265234.Finally, GCF of Fractions for 8171/986, 6838/269 is 1/265234.