GCF of 9396/458, 5840/5136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9396/458, 5840/5136 i.e 4/1176144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9396/458, 5840/5136.
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 9396/458,5840/5136?
Given fractions are 9396/458,5840/5136
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 9396/458,5840/5136, numerators are 9396,5840
Denominators are 458,5136
The GCF of 9396,5840 is 4 .
LCM of 458,5136 is 1176144.
The greatest common factor of 9396/458,5840/5136 = [GCF of 9396,5840]/[LCM of 458,5136]= 4/1176144
Therefore, the GCF of 9396/458,5840/5136 is 4/1176144.
To find the highest common factor of 9396,5840, we have to find the factors of both numbers and list the highest common factor.
The factors of 9396 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The HCF of 9396,5840 is 4.
Lets's calculate GCF of 9396,5840
| 2 | 9396, 5840 |
| 2 | 4698, 2920 |
| 2349, 1460 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9396,5840 By Matching Biggest Common Factor Method
Now, list down the factors of 9396
:1,2,3,4,6,9,12,18,27,29,36,54,58,81,87,108,116,162,174,261,324,348,522,783,1044,1566,2349,3132,4698,9396
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Greatest Common Factor
We found the factors 9396,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 9396,5840 is 4.
Lets's calculate LCM of 458,5136
| 2 | 458, 5136 |
| 229, 2568 |
∴ So the LCM of the given numbers is 2 x 229 x 2568 = 1176144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1176144
Therefore, the GCF of Fractions 9396/458,5840/5136 is 4/1176144
Least Common Multiple of 458,5136 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 458,5136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,5136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,5136) x common factors =2 x 1 = 2
LCM(458,5136) = ( 458 × 5136 ) / 2
LCM(458,5136) = 2352288 / 2
LCM(458,5136) = 1176144
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FAQs on GCF of Fractions of 9396/458, 5840/5136
1. What is the HCF of 9396,5840?
The HCF of 9396,5840 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 9396/458, 5840/5136?
Answer: GCF of Numerators as per given numbers 9396/458, 5840/5136 is
GCF of Numerators i.e. for 9396,5840 is 4
LCM of denominators i.e. for 458,5136 is 1176144.
Thus, GCF of Fractions is 4/1176144.Finally, GCF of Fractions for 9396/458, 5840/5136 is 4/1176144.