GCF of 4650/184, 2112/9264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4650/184, 2112/9264 i.e 6/213072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4650/184, 2112/9264.
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 4650/184,2112/9264?
Given fractions are 4650/184,2112/9264
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 4650/184,2112/9264, numerators are 4650,2112
Denominators are 184,9264
The GCF of 4650,2112 is 6 .
LCM of 184,9264 is 213072.
The greatest common factor of 4650/184,2112/9264 = [GCF of 4650,2112]/[LCM of 184,9264]= 6/213072
Therefore, the GCF of 4650/184,2112/9264 is 6/213072.
To find the highest common factor of 4650,2112, we have to find the factors of both numbers and list the highest common factor.
The factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
The HCF of 4650,2112 is 6.
Lets's calculate GCF of 4650,2112
| 2 | 4650, 2112 |
| 3 | 2325, 1056 |
| 775, 352 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4650,2112 By Matching Biggest Common Factor Method
Now, list down the factors of 4650
:1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650
Now, list down the factors of 2112
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112
Greatest Common Factor
We found the factors 4650,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 4650,2112 is 6.
Lets's calculate LCM of 184,9264
| 2 | 184, 9264 |
| 2 | 92, 4632 |
| 2 | 46, 2316 |
| 23, 1158 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 1158 = 213072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/213072
Therefore, the GCF of Fractions 4650/184,2112/9264 is 6/213072
Least Common Multiple of 184,9264 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 184,9264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,9264) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(184,9264) x common factors =8 x 1 = 8
LCM(184,9264) = ( 184 × 9264 ) / 8
LCM(184,9264) = 1704576 / 8
LCM(184,9264) = 213072
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FAQs on GCF of Fractions of 4650/184, 2112/9264
1. What is the HCF of 4650,2112?
The HCF of 4650,2112 is 6
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 4650/184, 2112/9264?
Answer: GCF of Numerators as per given numbers 4650/184, 2112/9264 is
GCF of Numerators i.e. for 4650,2112 is 6
LCM of denominators i.e. for 184,9264 is 213072.
Thus, GCF of Fractions is 6/213072.Finally, GCF of Fractions for 4650/184, 2112/9264 is 6/213072.