GCF of 9605/170, 7086/4038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9605/170, 7086/4038 i.e 1/343230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9605/170, 7086/4038.
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 9605/170,7086/4038?
Given fractions are 9605/170,7086/4038
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 9605/170,7086/4038, numerators are 9605,7086
Denominators are 170,4038
The GCF of 9605,7086 is 1 .
LCM of 170,4038 is 343230.
The greatest common factor of 9605/170,7086/4038 = [GCF of 9605,7086]/[LCM of 170,4038]= 1/343230
Therefore, the GCF of 9605/170,7086/4038 is 1/343230.
To find the highest common factor of 9605,7086, we have to find the factors of both numbers and list the highest common factor.
The factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605
The factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086
The HCF of 9605,7086 is 1.
Lets's calculate GCF of 9605,7086
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9605,7086 By Matching Biggest Common Factor Method
Now, list down the factors of 9605
:1,5,17,85,113,565,1921,9605
Now, list down the factors of 7086
:1,2,3,6,1181,2362,3543,7086
Greatest Common Factor
We found the factors 9605,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 9605,7086 is 1.
Lets's calculate LCM of 170,4038
| 2 | 170, 4038 |
| 85, 2019 |
∴ So the LCM of the given numbers is 2 x 85 x 2019 = 343230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343230
Therefore, the GCF of Fractions 9605/170,7086/4038 is 1/343230
Least Common Multiple of 170,4038 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 170,4038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,4038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,4038) x common factors =2 x 1 = 2
LCM(170,4038) = ( 170 × 4038 ) / 2
LCM(170,4038) = 686460 / 2
LCM(170,4038) = 343230
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FAQs on GCF of Fractions of 9605/170, 7086/4038
1. What is the HCF of 9605,7086?
The HCF of 9605,7086 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 9605/170, 7086/4038?
Answer: GCF of Numerators as per given numbers 9605/170, 7086/4038 is
GCF of Numerators i.e. for 9605,7086 is 1
LCM of denominators i.e. for 170,4038 is 343230.
Thus, GCF of Fractions is 1/343230.Finally, GCF of Fractions for 9605/170, 7086/4038 is 1/343230.