GCF of 6805/143, 7989/9293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6805/143, 7989/9293 i.e 1/1328899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6805/143, 7989/9293.
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 6805/143,7989/9293?
Given fractions are 6805/143,7989/9293
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 6805/143,7989/9293, numerators are 6805,7989
Denominators are 143,9293
The GCF of 6805,7989 is 1 .
LCM of 143,9293 is 1328899.
The greatest common factor of 6805/143,7989/9293 = [GCF of 6805,7989]/[LCM of 143,9293]= 1/1328899
Therefore, the GCF of 6805/143,7989/9293 is 1/1328899.
To find the highest common factor of 6805,7989, we have to find the factors of both numbers and list the highest common factor.
The factors of 6805 are 1, 5, 1361, 6805
The factors of 7989 are 1, 3, 2663, 7989
The HCF of 6805,7989 is 1.
Lets's calculate GCF of 6805,7989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6805,7989 By Matching Biggest Common Factor Method
Now, list down the factors of 6805
:1,5,1361,6805
Now, list down the factors of 7989
:1,3,2663,7989
Greatest Common Factor
We found the factors 6805,7989 . The biggest common factor number is the GCF number.
So the greatest common factor 6805,7989 is 1.
Lets's calculate LCM of 143,9293
Given numbers has no common factors except 1. So, there LCM is their product i.e 1328899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1328899
Therefore, the GCF of Fractions 6805/143,7989/9293 is 1/1328899
Least Common Multiple of 143,9293 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 143,9293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,9293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,9293) x common factors =1 x 1 = 1
LCM(143,9293) = ( 143 × 9293 ) / 1
LCM(143,9293) = 1328899 / 1
LCM(143,9293) = 1328899
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FAQs on GCF of Fractions of 6805/143, 7989/9293
1. What is the HCF of 6805,7989?
The HCF of 6805,7989 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 6805/143, 7989/9293?
Answer: GCF of Numerators as per given numbers 6805/143, 7989/9293 is
GCF of Numerators i.e. for 6805,7989 is 1
LCM of denominators i.e. for 143,9293 is 1328899.
Thus, GCF of Fractions is 1/1328899.Finally, GCF of Fractions for 6805/143, 7989/9293 is 1/1328899.