GCF of 5446/259, 8285/6801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5446/259, 8285/6801 i.e 1/1761459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5446/259, 8285/6801.
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 5446/259,8285/6801?
Given fractions are 5446/259,8285/6801
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 5446/259,8285/6801, numerators are 5446,8285
Denominators are 259,6801
The GCF of 5446,8285 is 1 .
LCM of 259,6801 is 1761459.
The greatest common factor of 5446/259,8285/6801 = [GCF of 5446,8285]/[LCM of 259,6801]= 1/1761459
Therefore, the GCF of 5446/259,8285/6801 is 1/1761459.
To find the highest common factor of 5446,8285, we have to find the factors of both numbers and list the highest common factor.
The factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446
The factors of 8285 are 1, 5, 1657, 8285
The HCF of 5446,8285 is 1.
Lets's calculate GCF of 5446,8285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5446,8285 By Matching Biggest Common Factor Method
Now, list down the factors of 5446
:1,2,7,14,389,778,2723,5446
Now, list down the factors of 8285
:1,5,1657,8285
Greatest Common Factor
We found the factors 5446,8285 . The biggest common factor number is the GCF number.
So the greatest common factor 5446,8285 is 1.
Lets's calculate LCM of 259,6801
Given numbers has no common factors except 1. So, there LCM is their product i.e 1761459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1761459
Therefore, the GCF of Fractions 5446/259,8285/6801 is 1/1761459
Least Common Multiple of 259,6801 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 259,6801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,6801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,6801) x common factors =1 x 1 = 1
LCM(259,6801) = ( 259 × 6801 ) / 1
LCM(259,6801) = 1761459 / 1
LCM(259,6801) = 1761459
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FAQs on GCF of Fractions of 5446/259, 8285/6801
1. What is the HCF of 5446,8285?
The HCF of 5446,8285 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 5446/259, 8285/6801?
Answer: GCF of Numerators as per given numbers 5446/259, 8285/6801 is
GCF of Numerators i.e. for 5446,8285 is 1
LCM of denominators i.e. for 259,6801 is 1761459.
Thus, GCF of Fractions is 1/1761459.Finally, GCF of Fractions for 5446/259, 8285/6801 is 1/1761459.