GCF of 9086/293, 4142/7163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9086/293, 4142/7163 i.e 2/2098759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9086/293, 4142/7163.
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 9086/293,4142/7163?
Given fractions are 9086/293,4142/7163
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 9086/293,4142/7163, numerators are 9086,4142
Denominators are 293,7163
The GCF of 9086,4142 is 2 .
LCM of 293,7163 is 2098759.
The greatest common factor of 9086/293,4142/7163 = [GCF of 9086,4142]/[LCM of 293,7163]= 2/2098759
Therefore, the GCF of 9086/293,4142/7163 is 2/2098759.
To find the highest common factor of 9086,4142, we have to find the factors of both numbers and list the highest common factor.
The factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086
The factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142
The HCF of 9086,4142 is 2.
Lets's calculate GCF of 9086,4142
| 2 | 9086, 4142 |
| 4543, 2071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9086,4142 By Matching Biggest Common Factor Method
Now, list down the factors of 9086
:1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086
Now, list down the factors of 4142
:1,2,19,38,109,218,2071,4142
Greatest Common Factor
We found the factors 9086,4142 . The biggest common factor number is the GCF number.
So the greatest common factor 9086,4142 is 2.
Lets's calculate LCM of 293,7163
Given numbers has no common factors except 1. So, there LCM is their product i.e 2098759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2098759
Therefore, the GCF of Fractions 9086/293,4142/7163 is 2/2098759
Least Common Multiple of 293,7163 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 293,7163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,7163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,7163) x common factors =1 x 1 = 1
LCM(293,7163) = ( 293 × 7163 ) / 1
LCM(293,7163) = 2098759 / 1
LCM(293,7163) = 2098759
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FAQs on GCF of Fractions of 9086/293, 4142/7163
1. What is the HCF of 9086,4142?
The HCF of 9086,4142 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 9086/293, 4142/7163?
Answer: GCF of Numerators as per given numbers 9086/293, 4142/7163 is
GCF of Numerators i.e. for 9086,4142 is 2
LCM of denominators i.e. for 293,7163 is 2098759.
Thus, GCF of Fractions is 2/2098759.Finally, GCF of Fractions for 9086/293, 4142/7163 is 2/2098759.