GCF of 96/228, 4704/4296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/228, 4704/4296 i.e 96/81624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/228, 4704/4296.
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 96/228,4704/4296?
Given fractions are 96/228,4704/4296
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 96/228,4704/4296, numerators are 96,4704
Denominators are 228,4296
The GCF of 96,4704 is 96 .
LCM of 228,4296 is 81624.
The greatest common factor of 96/228,4704/4296 = [GCF of 96,4704]/[LCM of 228,4296]= 96/81624
Therefore, the GCF of 96/228,4704/4296 is 96/81624.
To find the highest common factor of 96,4704, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
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 96,4704 is 96.
Lets's calculate GCF of 96,4704
| 2 | 96, 4704 |
| 2 | 48, 2352 |
| 2 | 24, 1176 |
| 2 | 12, 588 |
| 2 | 6, 294 |
| 3 | 3, 147 |
| 1, 49 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96
Greatest Common Factor of 96,4704 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
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 96,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 96,4704 is 96.
Lets's calculate LCM of 228,4296
| 2 | 228, 4296 |
| 2 | 114, 2148 |
| 3 | 57, 1074 |
| 19, 358 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 358 = 81624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 96/81624
Therefore, the GCF of Fractions 96/228,4704/4296 is 96/81624
Least Common Multiple of 228,4296 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 228,4296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,4296) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(228,4296) x common factors =12 x 1 = 12
LCM(228,4296) = ( 228 × 4296 ) / 12
LCM(228,4296) = 979488 / 12
LCM(228,4296) = 81624
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FAQs on GCF of Fractions of 96/228, 4704/4296
1. What is the HCF of 96,4704?
The HCF of 96,4704 is 96
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 96/228, 4704/4296?
Answer: GCF of Numerators as per given numbers 96/228, 4704/4296 is
GCF of Numerators i.e. for 96,4704 is 96
LCM of denominators i.e. for 228,4296 is 81624.
Thus, GCF of Fractions is 96/81624.Finally, GCF of Fractions for 96/228, 4704/4296 is 96/81624.