GCF of 8440/720, 7143/9341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8440/720, 7143/9341 i.e 1/6725520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8440/720, 7143/9341.
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 8440/720,7143/9341?
Given fractions are 8440/720,7143/9341
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 8440/720,7143/9341, numerators are 8440,7143
Denominators are 720,9341
The GCF of 8440,7143 is 1 .
LCM of 720,9341 is 6725520.
The greatest common factor of 8440/720,7143/9341 = [GCF of 8440,7143]/[LCM of 720,9341]= 1/6725520
Therefore, the GCF of 8440/720,7143/9341 is 1/6725520.
To find the highest common factor of 8440,7143, we have to find the factors of both numbers and list the highest common factor.
The factors of 8440 are 1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220, 8440
The factors of 7143 are 1, 3, 2381, 7143
The HCF of 8440,7143 is 1.
Lets's calculate GCF of 8440,7143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8440,7143 By Matching Biggest Common Factor Method
Now, list down the factors of 8440
:1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440
Now, list down the factors of 7143
:1,3,2381,7143
Greatest Common Factor
We found the factors 8440,7143 . The biggest common factor number is the GCF number.
So the greatest common factor 8440,7143 is 1.
Lets's calculate LCM of 720,9341
Given numbers has no common factors except 1. So, there LCM is their product i.e 6725520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6725520
Therefore, the GCF of Fractions 8440/720,7143/9341 is 1/6725520
Least Common Multiple of 720,9341 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 720,9341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,9341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(720,9341) x common factors =1 x 1 = 1
LCM(720,9341) = ( 720 × 9341 ) / 1
LCM(720,9341) = 6725520 / 1
LCM(720,9341) = 6725520
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FAQs on GCF of Fractions of 8440/720, 7143/9341
1. What is the HCF of 8440,7143?
The HCF of 8440,7143 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 8440/720, 7143/9341?
Answer: GCF of Numerators as per given numbers 8440/720, 7143/9341 is
GCF of Numerators i.e. for 8440,7143 is 1
LCM of denominators i.e. for 720,9341 is 6725520.
Thus, GCF of Fractions is 1/6725520.Finally, GCF of Fractions for 8440/720, 7143/9341 is 1/6725520.