GCF of 1008/576, 4704/1024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1008/576, 4704/1024 i.e 336/9216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1008/576, 4704/1024.
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 1008/576,4704/1024?
Given fractions are 1008/576,4704/1024
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 1008/576,4704/1024, numerators are 1008,4704
Denominators are 576,1024
The GCF of 1008,4704 is 336 .
LCM of 576,1024 is 9216.
The greatest common factor of 1008/576,4704/1024 = [GCF of 1008,4704]/[LCM of 576,1024]= 336/9216
Therefore, the GCF of 1008/576,4704/1024 is 336/9216.
To find the highest common factor of 1008,4704, we have to find the factors of both numbers and list the highest common factor.
The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
The factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704
The HCF of 1008,4704 is 336.
Lets's calculate GCF of 1008,4704
| 2 | 1008, 4704 |
| 2 | 504, 2352 |
| 2 | 252, 1176 |
| 2 | 126, 588 |
| 3 | 63, 294 |
| 7 | 21, 98 |
| 3, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 = 336
Greatest Common Factor of 1008,4704 By Matching Biggest Common Factor Method
Now, list down the factors of 1008
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008
Now, list down the factors of 4704
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Greatest Common Factor
We found the factors 1008,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 1008,4704 is 336.
Lets's calculate LCM of 576,1024
| 2 | 576, 1024 |
| 2 | 288, 512 |
| 2 | 144, 256 |
| 2 | 72, 128 |
| 2 | 36, 64 |
| 2 | 18, 32 |
| 9, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 9 x 16 = 9216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 336/9216
Therefore, the GCF of Fractions 1008/576,4704/1024 is 336/9216
Least Common Multiple of 576,1024 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 576,1024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,1024) = 64
common factors(in case of two or more numbers have common factors) = 1
GCF(576,1024) x common factors =64 x 1 = 64
LCM(576,1024) = ( 576 × 1024 ) / 64
LCM(576,1024) = 589824 / 64
LCM(576,1024) = 9216
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1008/576, 4704/1024
1. What is the HCF of 1008,4704?
The HCF of 1008,4704 is 336
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 1008/576, 4704/1024?
Answer: GCF of Numerators as per given numbers 1008/576, 4704/1024 is
GCF of Numerators i.e. for 1008,4704 is 336
LCM of denominators i.e. for 576,1024 is 9216.
Thus, GCF of Fractions is 336/9216.Finally, GCF of Fractions for 1008/576, 4704/1024 is 336/9216.