GCF of 3086/73, 7165/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3086/73, 7165/160 i.e 1/11680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3086/73, 7165/160.
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 3086/73,7165/160?
Given fractions are 3086/73,7165/160
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 3086/73,7165/160, numerators are 3086,7165
Denominators are 73,160
The GCF of 3086,7165 is 1 .
LCM of 73,160 is 11680.
The greatest common factor of 3086/73,7165/160 = [GCF of 3086,7165]/[LCM of 73,160]= 1/11680
Therefore, the GCF of 3086/73,7165/160 is 1/11680.
To find the highest common factor of 3086,7165, we have to find the factors of both numbers and list the highest common factor.
The factors of 3086 are 1, 2, 1543, 3086
The factors of 7165 are 1, 5, 1433, 7165
The HCF of 3086,7165 is 1.
Lets's calculate GCF of 3086,7165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3086,7165 By Matching Biggest Common Factor Method
Now, list down the factors of 3086
:1,2,1543,3086
Now, list down the factors of 7165
:1,5,1433,7165
Greatest Common Factor
We found the factors 3086,7165 . The biggest common factor number is the GCF number.
So the greatest common factor 3086,7165 is 1.
Lets's calculate LCM of 73,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 11680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11680
Therefore, the GCF of Fractions 3086/73,7165/160 is 1/11680
Least Common Multiple of 73,160 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 73,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,160) x common factors =1 x 1 = 1
LCM(73,160) = ( 73 × 160 ) / 1
LCM(73,160) = 11680 / 1
LCM(73,160) = 11680
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FAQs on GCF of Fractions of 3086/73, 7165/160
1. What is the HCF of 3086,7165?
The HCF of 3086,7165 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 3086/73, 7165/160?
Answer: GCF of Numerators as per given numbers 3086/73, 7165/160 is
GCF of Numerators i.e. for 3086,7165 is 1
LCM of denominators i.e. for 73,160 is 11680.
Thus, GCF of Fractions is 1/11680.Finally, GCF of Fractions for 3086/73, 7165/160 is 1/11680.