GCF of 4896/570, 9284/5928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4896/570, 9284/5928 i.e 4/29640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4896/570, 9284/5928.
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 4896/570,9284/5928?
Given fractions are 4896/570,9284/5928
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 4896/570,9284/5928, numerators are 4896,9284
Denominators are 570,5928
The GCF of 4896,9284 is 4 .
LCM of 570,5928 is 29640.
The greatest common factor of 4896/570,9284/5928 = [GCF of 4896,9284]/[LCM of 570,5928]= 4/29640
Therefore, the GCF of 4896/570,9284/5928 is 4/29640.
To find the highest common factor of 4896,9284, we have to find the factors of both numbers and list the highest common factor.
The factors of 4896 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896
The factors of 9284 are 1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284
The HCF of 4896,9284 is 4.
Lets's calculate GCF of 4896,9284
| 2 | 4896, 9284 |
| 2 | 2448, 4642 |
| 1224, 2321 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4896,9284 By Matching Biggest Common Factor Method
Now, list down the factors of 4896
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896
Now, list down the factors of 9284
:1,2,4,11,22,44,211,422,844,2321,4642,9284
Greatest Common Factor
We found the factors 4896,9284 . The biggest common factor number is the GCF number.
So the greatest common factor 4896,9284 is 4.
Lets's calculate LCM of 570,5928
| 2 | 570, 5928 |
| 3 | 285, 2964 |
| 19 | 95, 988 |
| 5, 52 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 5 x 52 = 29640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29640
Therefore, the GCF of Fractions 4896/570,9284/5928 is 4/29640
Least Common Multiple of 570,5928 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 570,5928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,5928) = 114
common factors(in case of two or more numbers have common factors) = 1
GCF(570,5928) x common factors =114 x 1 = 114
LCM(570,5928) = ( 570 × 5928 ) / 114
LCM(570,5928) = 3378960 / 114
LCM(570,5928) = 29640
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FAQs on GCF of Fractions of 4896/570, 9284/5928
1. What is the HCF of 4896,9284?
The HCF of 4896,9284 is 4
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 4896/570, 9284/5928?
Answer: GCF of Numerators as per given numbers 4896/570, 9284/5928 is
GCF of Numerators i.e. for 4896,9284 is 4
LCM of denominators i.e. for 570,5928 is 29640.
Thus, GCF of Fractions is 4/29640.Finally, GCF of Fractions for 4896/570, 9284/5928 is 4/29640.