GCF of 5354/576, 8586/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5354/576, 8586/256 i.e 2/2304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5354/576, 8586/256.
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 5354/576,8586/256?
Given fractions are 5354/576,8586/256
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 5354/576,8586/256, numerators are 5354,8586
Denominators are 576,256
The GCF of 5354,8586 is 2 .
LCM of 576,256 is 2304.
The greatest common factor of 5354/576,8586/256 = [GCF of 5354,8586]/[LCM of 576,256]= 2/2304
Therefore, the GCF of 5354/576,8586/256 is 2/2304.
To find the highest common factor of 5354,8586, we have to find the factors of both numbers and list the highest common factor.
The factors of 5354 are 1, 2, 2677, 5354
The factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586
The HCF of 5354,8586 is 2.
Lets's calculate GCF of 5354,8586
| 2 | 5354, 8586 |
| 2677, 4293 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5354,8586 By Matching Biggest Common Factor Method
Now, list down the factors of 5354
:1,2,2677,5354
Now, list down the factors of 8586
:1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Greatest Common Factor
We found the factors 5354,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 5354,8586 is 2.
Lets's calculate LCM of 576,256
| 2 | 576, 256 |
| 2 | 288, 128 |
| 2 | 144, 64 |
| 2 | 72, 32 |
| 2 | 36, 16 |
| 2 | 18, 8 |
| 9, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 9 x 4 = 2304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2304
Therefore, the GCF of Fractions 5354/576,8586/256 is 2/2304
Least Common Multiple of 576,256 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 576,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,256) = 64
common factors(in case of two or more numbers have common factors) = 1
GCF(576,256) x common factors =64 x 1 = 64
LCM(576,256) = ( 576 × 256 ) / 64
LCM(576,256) = 147456 / 64
LCM(576,256) = 2304
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FAQs on GCF of Fractions of 5354/576, 8586/256
1. What is the HCF of 5354,8586?
The HCF of 5354,8586 is 2
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 5354/576, 8586/256?
Answer: GCF of Numerators as per given numbers 5354/576, 8586/256 is
GCF of Numerators i.e. for 5354,8586 is 2
LCM of denominators i.e. for 576,256 is 2304.
Thus, GCF of Fractions is 2/2304.Finally, GCF of Fractions for 5354/576, 8586/256 is 2/2304.