GCF of 2186/305, 7065/5498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2186/305, 7065/5498 i.e 1/1676890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2186/305, 7065/5498.
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 2186/305,7065/5498?
Given fractions are 2186/305,7065/5498
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 2186/305,7065/5498, numerators are 2186,7065
Denominators are 305,5498
The GCF of 2186,7065 is 1 .
LCM of 305,5498 is 1676890.
The greatest common factor of 2186/305,7065/5498 = [GCF of 2186,7065]/[LCM of 305,5498]= 1/1676890
Therefore, the GCF of 2186/305,7065/5498 is 1/1676890.
To find the highest common factor of 2186,7065, we have to find the factors of both numbers and list the highest common factor.
The factors of 2186 are 1, 2, 1093, 2186
The factors of 7065 are 1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355, 7065
The HCF of 2186,7065 is 1.
Lets's calculate GCF of 2186,7065
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2186,7065 By Matching Biggest Common Factor Method
Now, list down the factors of 2186
:1,2,1093,2186
Now, list down the factors of 7065
:1,3,5,9,15,45,157,471,785,1413,2355,7065
Greatest Common Factor
We found the factors 2186,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 2186,7065 is 1.
Lets's calculate LCM of 305,5498
Given numbers has no common factors except 1. So, there LCM is their product i.e 1676890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1676890
Therefore, the GCF of Fractions 2186/305,7065/5498 is 1/1676890
Least Common Multiple of 305,5498 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 305,5498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,5498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,5498) x common factors =1 x 1 = 1
LCM(305,5498) = ( 305 × 5498 ) / 1
LCM(305,5498) = 1676890 / 1
LCM(305,5498) = 1676890
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FAQs on GCF of Fractions of 2186/305, 7065/5498
1. What is the HCF of 2186,7065?
The HCF of 2186,7065 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 2186/305, 7065/5498?
Answer: GCF of Numerators as per given numbers 2186/305, 7065/5498 is
GCF of Numerators i.e. for 2186,7065 is 1
LCM of denominators i.e. for 305,5498 is 1676890.
Thus, GCF of Fractions is 1/1676890.Finally, GCF of Fractions for 2186/305, 7065/5498 is 1/1676890.