GCF of 6743/367, 1720/2090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6743/367, 1720/2090 i.e 1/767030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6743/367, 1720/2090.
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 6743/367,1720/2090?
Given fractions are 6743/367,1720/2090
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 6743/367,1720/2090, numerators are 6743,1720
Denominators are 367,2090
The GCF of 6743,1720 is 1 .
LCM of 367,2090 is 767030.
The greatest common factor of 6743/367,1720/2090 = [GCF of 6743,1720]/[LCM of 367,2090]= 1/767030
Therefore, the GCF of 6743/367,1720/2090 is 1/767030.
To find the highest common factor of 6743,1720, we have to find the factors of both numbers and list the highest common factor.
The factors of 6743 are 1, 11, 613, 6743
The factors of 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720
The HCF of 6743,1720 is 1.
Lets's calculate GCF of 6743,1720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6743,1720 By Matching Biggest Common Factor Method
Now, list down the factors of 6743
:1,11,613,6743
Now, list down the factors of 1720
:1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720
Greatest Common Factor
We found the factors 6743,1720 . The biggest common factor number is the GCF number.
So the greatest common factor 6743,1720 is 1.
Lets's calculate LCM of 367,2090
Given numbers has no common factors except 1. So, there LCM is their product i.e 767030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767030
Therefore, the GCF of Fractions 6743/367,1720/2090 is 1/767030
Least Common Multiple of 367,2090 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 367,2090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,2090) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,2090) x common factors =1 x 1 = 1
LCM(367,2090) = ( 367 × 2090 ) / 1
LCM(367,2090) = 767030 / 1
LCM(367,2090) = 767030
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FAQs on GCF of Fractions of 6743/367, 1720/2090
1. What is the HCF of 6743,1720?
The HCF of 6743,1720 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 6743/367, 1720/2090?
Answer: GCF of Numerators as per given numbers 6743/367, 1720/2090 is
GCF of Numerators i.e. for 6743,1720 is 1
LCM of denominators i.e. for 367,2090 is 767030.
Thus, GCF of Fractions is 1/767030.Finally, GCF of Fractions for 6743/367, 1720/2090 is 1/767030.