GCF of 8566/405, 6309/7347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8566/405, 6309/7347 i.e 1/991845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8566/405, 6309/7347.
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 8566/405,6309/7347?
Given fractions are 8566/405,6309/7347
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 8566/405,6309/7347, numerators are 8566,6309
Denominators are 405,7347
The GCF of 8566,6309 is 1 .
LCM of 405,7347 is 991845.
The greatest common factor of 8566/405,6309/7347 = [GCF of 8566,6309]/[LCM of 405,7347]= 1/991845
Therefore, the GCF of 8566/405,6309/7347 is 1/991845.
To find the highest common factor of 8566,6309, we have to find the factors of both numbers and list the highest common factor.
The factors of 8566 are 1, 2, 4283, 8566
The factors of 6309 are 1, 3, 9, 701, 2103, 6309
The HCF of 8566,6309 is 1.
Lets's calculate GCF of 8566,6309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8566,6309 By Matching Biggest Common Factor Method
Now, list down the factors of 8566
:1,2,4283,8566
Now, list down the factors of 6309
:1,3,9,701,2103,6309
Greatest Common Factor
We found the factors 8566,6309 . The biggest common factor number is the GCF number.
So the greatest common factor 8566,6309 is 1.
Lets's calculate LCM of 405,7347
| 3 | 405, 7347 |
| 135, 2449 |
∴ So the LCM of the given numbers is 3 x 135 x 2449 = 991845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/991845
Therefore, the GCF of Fractions 8566/405,6309/7347 is 1/991845
Least Common Multiple of 405,7347 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 405,7347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,7347) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(405,7347) x common factors =3 x 1 = 3
LCM(405,7347) = ( 405 × 7347 ) / 3
LCM(405,7347) = 2975535 / 3
LCM(405,7347) = 991845
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FAQs on GCF of Fractions of 8566/405, 6309/7347
1. What is the HCF of 8566,6309?
The HCF of 8566,6309 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 8566/405, 6309/7347?
Answer: GCF of Numerators as per given numbers 8566/405, 6309/7347 is
GCF of Numerators i.e. for 8566,6309 is 1
LCM of denominators i.e. for 405,7347 is 991845.
Thus, GCF of Fractions is 1/991845.Finally, GCF of Fractions for 8566/405, 6309/7347 is 1/991845.