GCF of 8609/267, 9536/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8609/267, 9536/285 i.e 1/25365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8609/267, 9536/285.
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 8609/267,9536/285?
Given fractions are 8609/267,9536/285
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 8609/267,9536/285, numerators are 8609,9536
Denominators are 267,285
The GCF of 8609,9536 is 1 .
LCM of 267,285 is 25365.
The greatest common factor of 8609/267,9536/285 = [GCF of 8609,9536]/[LCM of 267,285]= 1/25365
Therefore, the GCF of 8609/267,9536/285 is 1/25365.
To find the highest common factor of 8609,9536, we have to find the factors of both numbers and list the highest common factor.
The factors of 8609 are 1, 8609
The factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536
The HCF of 8609,9536 is 1.
Lets's calculate GCF of 8609,9536
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8609,9536 By Matching Biggest Common Factor Method
Now, list down the factors of 8609
:1,8609
Now, list down the factors of 9536
:1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536
Greatest Common Factor
We found the factors 8609,9536 . The biggest common factor number is the GCF number.
So the greatest common factor 8609,9536 is 1.
Lets's calculate LCM of 267,285
| 3 | 267, 285 |
| 89, 95 |
∴ So the LCM of the given numbers is 3 x 89 x 95 = 25365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25365
Therefore, the GCF of Fractions 8609/267,9536/285 is 1/25365
Least Common Multiple of 267,285 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 267,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,285) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,285) x common factors =3 x 1 = 3
LCM(267,285) = ( 267 × 285 ) / 3
LCM(267,285) = 76095 / 3
LCM(267,285) = 25365
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FAQs on GCF of Fractions of 8609/267, 9536/285
1. What is the HCF of 8609,9536?
The HCF of 8609,9536 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 8609/267, 9536/285?
Answer: GCF of Numerators as per given numbers 8609/267, 9536/285 is
GCF of Numerators i.e. for 8609,9536 is 1
LCM of denominators i.e. for 267,285 is 25365.
Thus, GCF of Fractions is 1/25365.Finally, GCF of Fractions for 8609/267, 9536/285 is 1/25365.