GCF of 8539/262, 6343/247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8539/262, 6343/247 i.e 1/64714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8539/262, 6343/247.
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 8539/262,6343/247?
Given fractions are 8539/262,6343/247
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 8539/262,6343/247, numerators are 8539,6343
Denominators are 262,247
The GCF of 8539,6343 is 1 .
LCM of 262,247 is 64714.
The greatest common factor of 8539/262,6343/247 = [GCF of 8539,6343]/[LCM of 262,247]= 1/64714
Therefore, the GCF of 8539/262,6343/247 is 1/64714.
To find the highest common factor of 8539,6343, we have to find the factors of both numbers and list the highest common factor.
The factors of 8539 are 1, 8539
The factors of 6343 are 1, 6343
The HCF of 8539,6343 is 1.
Lets's calculate GCF of 8539,6343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8539,6343 By Matching Biggest Common Factor Method
Now, list down the factors of 8539
:1,8539
Now, list down the factors of 6343
:1,6343
Greatest Common Factor
We found the factors 8539,6343 . The biggest common factor number is the GCF number.
So the greatest common factor 8539,6343 is 1.
Lets's calculate LCM of 262,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 64714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64714
Therefore, the GCF of Fractions 8539/262,6343/247 is 1/64714
Least Common Multiple of 262,247 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 262,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,247) x common factors =1 x 1 = 1
LCM(262,247) = ( 262 × 247 ) / 1
LCM(262,247) = 64714 / 1
LCM(262,247) = 64714
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FAQs on GCF of Fractions of 8539/262, 6343/247
1. What is the HCF of 8539,6343?
The HCF of 8539,6343 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 8539/262, 6343/247?
Answer: GCF of Numerators as per given numbers 8539/262, 6343/247 is
GCF of Numerators i.e. for 8539,6343 is 1
LCM of denominators i.e. for 262,247 is 64714.
Thus, GCF of Fractions is 1/64714.Finally, GCF of Fractions for 8539/262, 6343/247 is 1/64714.