GCF of 4608/458, 8724/6233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4608/458, 8724/6233 i.e 12/2854714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4608/458, 8724/6233.
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 4608/458,8724/6233?
Given fractions are 4608/458,8724/6233
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 4608/458,8724/6233, numerators are 4608,8724
Denominators are 458,6233
The GCF of 4608,8724 is 12 .
LCM of 458,6233 is 2854714.
The greatest common factor of 4608/458,8724/6233 = [GCF of 4608,8724]/[LCM of 458,6233]= 12/2854714
Therefore, the GCF of 4608/458,8724/6233 is 12/2854714.
To find the highest common factor of 4608,8724, we have to find the factors of both numbers and list the highest common factor.
The factors of 4608 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608
The factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724
The HCF of 4608,8724 is 12.
Lets's calculate GCF of 4608,8724
| 2 | 4608, 8724 |
| 2 | 2304, 4362 |
| 3 | 1152, 2181 |
| 384, 727 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4608,8724 By Matching Biggest Common Factor Method
Now, list down the factors of 4608
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608
Now, list down the factors of 8724
:1,2,3,4,6,12,727,1454,2181,2908,4362,8724
Greatest Common Factor
We found the factors 4608,8724 . The biggest common factor number is the GCF number.
So the greatest common factor 4608,8724 is 12.
Lets's calculate LCM of 458,6233
Given numbers has no common factors except 1. So, there LCM is their product i.e 2854714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2854714
Therefore, the GCF of Fractions 4608/458,8724/6233 is 12/2854714
Least Common Multiple of 458,6233 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 458,6233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,6233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,6233) x common factors =1 x 1 = 1
LCM(458,6233) = ( 458 × 6233 ) / 1
LCM(458,6233) = 2854714 / 1
LCM(458,6233) = 2854714
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FAQs on GCF of Fractions of 4608/458, 8724/6233
1. What is the HCF of 4608,8724?
The HCF of 4608,8724 is 12
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 4608/458, 8724/6233?
Answer: GCF of Numerators as per given numbers 4608/458, 8724/6233 is
GCF of Numerators i.e. for 4608,8724 is 12
LCM of denominators i.e. for 458,6233 is 2854714.
Thus, GCF of Fractions is 12/2854714.Finally, GCF of Fractions for 4608/458, 8724/6233 is 12/2854714.