GCF of 9031/269, 9086/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9031/269, 9086/310 i.e 11/83390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9031/269, 9086/310.
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 9031/269,9086/310?
Given fractions are 9031/269,9086/310
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 9031/269,9086/310, numerators are 9031,9086
Denominators are 269,310
The GCF of 9031,9086 is 11 .
LCM of 269,310 is 83390.
The greatest common factor of 9031/269,9086/310 = [GCF of 9031,9086]/[LCM of 269,310]= 11/83390
Therefore, the GCF of 9031/269,9086/310 is 11/83390.
To find the highest common factor of 9031,9086, we have to find the factors of both numbers and list the highest common factor.
The factors of 9031 are 1, 11, 821, 9031
The factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086
The HCF of 9031,9086 is 11.
Lets's calculate GCF of 9031,9086
| 11 | 9031, 9086 |
| 821, 826 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9031,9086 By Matching Biggest Common Factor Method
Now, list down the factors of 9031
:1,11,821,9031
Now, list down the factors of 9086
:1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086
Greatest Common Factor
We found the factors 9031,9086 . The biggest common factor number is the GCF number.
So the greatest common factor 9031,9086 is 11.
Lets's calculate LCM of 269,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 83390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/83390
Therefore, the GCF of Fractions 9031/269,9086/310 is 11/83390
Least Common Multiple of 269,310 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 269,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,310) x common factors =1 x 1 = 1
LCM(269,310) = ( 269 × 310 ) / 1
LCM(269,310) = 83390 / 1
LCM(269,310) = 83390
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FAQs on GCF of Fractions of 9031/269, 9086/310
1. What is the HCF of 9031,9086?
The HCF of 9031,9086 is 11
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 9031/269, 9086/310?
Answer: GCF of Numerators as per given numbers 9031/269, 9086/310 is
GCF of Numerators i.e. for 9031,9086 is 11
LCM of denominators i.e. for 269,310 is 83390.
Thus, GCF of Fractions is 11/83390.Finally, GCF of Fractions for 9031/269, 9086/310 is 11/83390.