GCF of 6728/207, 6291/1106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6728/207, 6291/1106 i.e 1/228942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6728/207, 6291/1106.
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 6728/207,6291/1106?
Given fractions are 6728/207,6291/1106
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 6728/207,6291/1106, numerators are 6728,6291
Denominators are 207,1106
The GCF of 6728,6291 is 1 .
LCM of 207,1106 is 228942.
The greatest common factor of 6728/207,6291/1106 = [GCF of 6728,6291]/[LCM of 207,1106]= 1/228942
Therefore, the GCF of 6728/207,6291/1106 is 1/228942.
To find the highest common factor of 6728,6291, we have to find the factors of both numbers and list the highest common factor.
The factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728
The factors of 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291
The HCF of 6728,6291 is 1.
Lets's calculate GCF of 6728,6291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6728,6291 By Matching Biggest Common Factor Method
Now, list down the factors of 6728
:1,2,4,8,29,58,116,232,841,1682,3364,6728
Now, list down the factors of 6291
:1,3,9,27,233,699,2097,6291
Greatest Common Factor
We found the factors 6728,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 6728,6291 is 1.
Lets's calculate LCM of 207,1106
Given numbers has no common factors except 1. So, there LCM is their product i.e 228942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228942
Therefore, the GCF of Fractions 6728/207,6291/1106 is 1/228942
Least Common Multiple of 207,1106 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 207,1106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,1106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,1106) x common factors =1 x 1 = 1
LCM(207,1106) = ( 207 × 1106 ) / 1
LCM(207,1106) = 228942 / 1
LCM(207,1106) = 228942
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FAQs on GCF of Fractions of 6728/207, 6291/1106
1. What is the HCF of 6728,6291?
The HCF of 6728,6291 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 6728/207, 6291/1106?
Answer: GCF of Numerators as per given numbers 6728/207, 6291/1106 is
GCF of Numerators i.e. for 6728,6291 is 1
LCM of denominators i.e. for 207,1106 is 228942.
Thus, GCF of Fractions is 1/228942.Finally, GCF of Fractions for 6728/207, 6291/1106 is 1/228942.