GCF of 6227/823, 8927/8308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6227/823, 8927/8308 i.e 1/6837484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6227/823, 8927/8308.
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 6227/823,8927/8308?
Given fractions are 6227/823,8927/8308
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 6227/823,8927/8308, numerators are 6227,8927
Denominators are 823,8308
The GCF of 6227,8927 is 1 .
LCM of 823,8308 is 6837484.
The greatest common factor of 6227/823,8927/8308 = [GCF of 6227,8927]/[LCM of 823,8308]= 1/6837484
Therefore, the GCF of 6227/823,8927/8308 is 1/6837484.
To find the highest common factor of 6227,8927, we have to find the factors of both numbers and list the highest common factor.
The factors of 6227 are 1, 13, 479, 6227
The factors of 8927 are 1, 79, 113, 8927
The HCF of 6227,8927 is 1.
Lets's calculate GCF of 6227,8927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6227,8927 By Matching Biggest Common Factor Method
Now, list down the factors of 6227
:1,13,479,6227
Now, list down the factors of 8927
:1,79,113,8927
Greatest Common Factor
We found the factors 6227,8927 . The biggest common factor number is the GCF number.
So the greatest common factor 6227,8927 is 1.
Lets's calculate LCM of 823,8308
Given numbers has no common factors except 1. So, there LCM is their product i.e 6837484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6837484
Therefore, the GCF of Fractions 6227/823,8927/8308 is 1/6837484
Least Common Multiple of 823,8308 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 823,8308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,8308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,8308) x common factors =1 x 1 = 1
LCM(823,8308) = ( 823 × 8308 ) / 1
LCM(823,8308) = 6837484 / 1
LCM(823,8308) = 6837484
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FAQs on GCF of Fractions of 6227/823, 8927/8308
1. What is the HCF of 6227,8927?
The HCF of 6227,8927 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 6227/823, 8927/8308?
Answer: GCF of Numerators as per given numbers 6227/823, 8927/8308 is
GCF of Numerators i.e. for 6227,8927 is 1
LCM of denominators i.e. for 823,8308 is 6837484.
Thus, GCF of Fractions is 1/6837484.Finally, GCF of Fractions for 6227/823, 8927/8308 is 1/6837484.