GCF of 7864/339, 3035/5686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7864/339, 3035/5686 i.e 1/1927554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7864/339, 3035/5686.
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 7864/339,3035/5686?
Given fractions are 7864/339,3035/5686
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 7864/339,3035/5686, numerators are 7864,3035
Denominators are 339,5686
The GCF of 7864,3035 is 1 .
LCM of 339,5686 is 1927554.
The greatest common factor of 7864/339,3035/5686 = [GCF of 7864,3035]/[LCM of 339,5686]= 1/1927554
Therefore, the GCF of 7864/339,3035/5686 is 1/1927554.
To find the highest common factor of 7864,3035, we have to find the factors of both numbers and list the highest common factor.
The factors of 7864 are 1, 2, 4, 8, 983, 1966, 3932, 7864
The factors of 3035 are 1, 5, 607, 3035
The HCF of 7864,3035 is 1.
Lets's calculate GCF of 7864,3035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7864,3035 By Matching Biggest Common Factor Method
Now, list down the factors of 7864
:1,2,4,8,983,1966,3932,7864
Now, list down the factors of 3035
:1,5,607,3035
Greatest Common Factor
We found the factors 7864,3035 . The biggest common factor number is the GCF number.
So the greatest common factor 7864,3035 is 1.
Lets's calculate LCM of 339,5686
Given numbers has no common factors except 1. So, there LCM is their product i.e 1927554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1927554
Therefore, the GCF of Fractions 7864/339,3035/5686 is 1/1927554
Least Common Multiple of 339,5686 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 339,5686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,5686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,5686) x common factors =1 x 1 = 1
LCM(339,5686) = ( 339 × 5686 ) / 1
LCM(339,5686) = 1927554 / 1
LCM(339,5686) = 1927554
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FAQs on GCF of Fractions of 7864/339, 3035/5686
1. What is the HCF of 7864,3035?
The HCF of 7864,3035 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 7864/339, 3035/5686?
Answer: GCF of Numerators as per given numbers 7864/339, 3035/5686 is
GCF of Numerators i.e. for 7864,3035 is 1
LCM of denominators i.e. for 339,5686 is 1927554.
Thus, GCF of Fractions is 1/1927554.Finally, GCF of Fractions for 7864/339, 3035/5686 is 1/1927554.