GCF of 3065/586, 3867/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3065/586, 3867/619 i.e 1/362734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3065/586, 3867/619.
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 3065/586,3867/619?
Given fractions are 3065/586,3867/619
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 3065/586,3867/619, numerators are 3065,3867
Denominators are 586,619
The GCF of 3065,3867 is 1 .
LCM of 586,619 is 362734.
The greatest common factor of 3065/586,3867/619 = [GCF of 3065,3867]/[LCM of 586,619]= 1/362734
Therefore, the GCF of 3065/586,3867/619 is 1/362734.
To find the highest common factor of 3065,3867, we have to find the factors of both numbers and list the highest common factor.
The factors of 3065 are 1, 5, 613, 3065
The factors of 3867 are 1, 3, 1289, 3867
The HCF of 3065,3867 is 1.
Lets's calculate GCF of 3065,3867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3065,3867 By Matching Biggest Common Factor Method
Now, list down the factors of 3065
:1,5,613,3065
Now, list down the factors of 3867
:1,3,1289,3867
Greatest Common Factor
We found the factors 3065,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 3065,3867 is 1.
Lets's calculate LCM of 586,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 362734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362734
Therefore, the GCF of Fractions 3065/586,3867/619 is 1/362734
Least Common Multiple of 586,619 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 586,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,619) x common factors =1 x 1 = 1
LCM(586,619) = ( 586 × 619 ) / 1
LCM(586,619) = 362734 / 1
LCM(586,619) = 362734
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FAQs on GCF of Fractions of 3065/586, 3867/619
1. What is the HCF of 3065,3867?
The HCF of 3065,3867 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 3065/586, 3867/619?
Answer: GCF of Numerators as per given numbers 3065/586, 3867/619 is
GCF of Numerators i.e. for 3065,3867 is 1
LCM of denominators i.e. for 586,619 is 362734.
Thus, GCF of Fractions is 1/362734.Finally, GCF of Fractions for 3065/586, 3867/619 is 1/362734.