GCF of 2543/871, 8450/2869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2543/871, 8450/2869 i.e 1/2498899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2543/871, 8450/2869.
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 2543/871,8450/2869?
Given fractions are 2543/871,8450/2869
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 2543/871,8450/2869, numerators are 2543,8450
Denominators are 871,2869
The GCF of 2543,8450 is 1 .
LCM of 871,2869 is 2498899.
The greatest common factor of 2543/871,8450/2869 = [GCF of 2543,8450]/[LCM of 871,2869]= 1/2498899
Therefore, the GCF of 2543/871,8450/2869 is 1/2498899.
To find the highest common factor of 2543,8450, we have to find the factors of both numbers and list the highest common factor.
The factors of 2543 are 1, 2543
The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
The HCF of 2543,8450 is 1.
Lets's calculate GCF of 2543,8450
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2543,8450 By Matching Biggest Common Factor Method
Now, list down the factors of 2543
:1,2543
Now, list down the factors of 8450
:1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Greatest Common Factor
We found the factors 2543,8450 . The biggest common factor number is the GCF number.
So the greatest common factor 2543,8450 is 1.
Lets's calculate LCM of 871,2869
Given numbers has no common factors except 1. So, there LCM is their product i.e 2498899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2498899
Therefore, the GCF of Fractions 2543/871,8450/2869 is 1/2498899
Least Common Multiple of 871,2869 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 871,2869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,2869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,2869) x common factors =1 x 1 = 1
LCM(871,2869) = ( 871 × 2869 ) / 1
LCM(871,2869) = 2498899 / 1
LCM(871,2869) = 2498899
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FAQs on GCF of Fractions of 2543/871, 8450/2869
1. What is the HCF of 2543,8450?
The HCF of 2543,8450 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 2543/871, 8450/2869?
Answer: GCF of Numerators as per given numbers 2543/871, 8450/2869 is
GCF of Numerators i.e. for 2543,8450 is 1
LCM of denominators i.e. for 871,2869 is 2498899.
Thus, GCF of Fractions is 1/2498899.Finally, GCF of Fractions for 2543/871, 8450/2869 is 1/2498899.