GCF of 6727/415, 8228/8353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6727/415, 8228/8353 i.e 1/3466495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6727/415, 8228/8353.
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 6727/415,8228/8353?
Given fractions are 6727/415,8228/8353
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 6727/415,8228/8353, numerators are 6727,8228
Denominators are 415,8353
The GCF of 6727,8228 is 1 .
LCM of 415,8353 is 3466495.
The greatest common factor of 6727/415,8228/8353 = [GCF of 6727,8228]/[LCM of 415,8353]= 1/3466495
Therefore, the GCF of 6727/415,8228/8353 is 1/3466495.
To find the highest common factor of 6727,8228, we have to find the factors of both numbers and list the highest common factor.
The factors of 6727 are 1, 7, 31, 217, 961, 6727
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The HCF of 6727,8228 is 1.
Lets's calculate GCF of 6727,8228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6727,8228 By Matching Biggest Common Factor Method
Now, list down the factors of 6727
:1,7,31,217,961,6727
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 6727,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 6727,8228 is 1.
Lets's calculate LCM of 415,8353
Given numbers has no common factors except 1. So, there LCM is their product i.e 3466495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3466495
Therefore, the GCF of Fractions 6727/415,8228/8353 is 1/3466495
Least Common Multiple of 415,8353 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 415,8353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,8353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,8353) x common factors =1 x 1 = 1
LCM(415,8353) = ( 415 × 8353 ) / 1
LCM(415,8353) = 3466495 / 1
LCM(415,8353) = 3466495
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FAQs on GCF of Fractions of 6727/415, 8228/8353
1. What is the HCF of 6727,8228?
The HCF of 6727,8228 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 6727/415, 8228/8353?
Answer: GCF of Numerators as per given numbers 6727/415, 8228/8353 is
GCF of Numerators i.e. for 6727,8228 is 1
LCM of denominators i.e. for 415,8353 is 3466495.
Thus, GCF of Fractions is 1/3466495.Finally, GCF of Fractions for 6727/415, 8228/8353 is 1/3466495.