GCF of 4285/246, 2851/6581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4285/246, 2851/6581 i.e 1/1618926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4285/246, 2851/6581.
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 4285/246,2851/6581?
Given fractions are 4285/246,2851/6581
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 4285/246,2851/6581, numerators are 4285,2851
Denominators are 246,6581
The GCF of 4285,2851 is 1 .
LCM of 246,6581 is 1618926.
The greatest common factor of 4285/246,2851/6581 = [GCF of 4285,2851]/[LCM of 246,6581]= 1/1618926
Therefore, the GCF of 4285/246,2851/6581 is 1/1618926.
To find the highest common factor of 4285,2851, we have to find the factors of both numbers and list the highest common factor.
The factors of 4285 are 1, 5, 857, 4285
The factors of 2851 are 1, 2851
The HCF of 4285,2851 is 1.
Lets's calculate GCF of 4285,2851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4285,2851 By Matching Biggest Common Factor Method
Now, list down the factors of 4285
:1,5,857,4285
Now, list down the factors of 2851
:1,2851
Greatest Common Factor
We found the factors 4285,2851 . The biggest common factor number is the GCF number.
So the greatest common factor 4285,2851 is 1.
Lets's calculate LCM of 246,6581
Given numbers has no common factors except 1. So, there LCM is their product i.e 1618926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1618926
Therefore, the GCF of Fractions 4285/246,2851/6581 is 1/1618926
Least Common Multiple of 246,6581 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 246,6581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,6581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,6581) x common factors =1 x 1 = 1
LCM(246,6581) = ( 246 × 6581 ) / 1
LCM(246,6581) = 1618926 / 1
LCM(246,6581) = 1618926
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FAQs on GCF of Fractions of 4285/246, 2851/6581
1. What is the HCF of 4285,2851?
The HCF of 4285,2851 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 4285/246, 2851/6581?
Answer: GCF of Numerators as per given numbers 4285/246, 2851/6581 is
GCF of Numerators i.e. for 4285,2851 is 1
LCM of denominators i.e. for 246,6581 is 1618926.
Thus, GCF of Fractions is 1/1618926.Finally, GCF of Fractions for 4285/246, 2851/6581 is 1/1618926.