GCF of 3226/288, 9492/6183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3226/288, 9492/6183 i.e 2/197856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3226/288, 9492/6183.
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 3226/288,9492/6183?
Given fractions are 3226/288,9492/6183
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 3226/288,9492/6183, numerators are 3226,9492
Denominators are 288,6183
The GCF of 3226,9492 is 2 .
LCM of 288,6183 is 197856.
The greatest common factor of 3226/288,9492/6183 = [GCF of 3226,9492]/[LCM of 288,6183]= 2/197856
Therefore, the GCF of 3226/288,9492/6183 is 2/197856.
To find the highest common factor of 3226,9492, we have to find the factors of both numbers and list the highest common factor.
The factors of 3226 are 1, 2, 1613, 3226
The factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492
The HCF of 3226,9492 is 2.
Lets's calculate GCF of 3226,9492
| 2 | 3226, 9492 |
| 1613, 4746 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3226,9492 By Matching Biggest Common Factor Method
Now, list down the factors of 3226
:1,2,1613,3226
Now, list down the factors of 9492
:1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Greatest Common Factor
We found the factors 3226,9492 . The biggest common factor number is the GCF number.
So the greatest common factor 3226,9492 is 2.
Lets's calculate LCM of 288,6183
| 3 | 288, 6183 |
| 3 | 96, 2061 |
| 32, 687 |
∴ So the LCM of the given numbers is 3 x 3 x 32 x 687 = 197856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197856
Therefore, the GCF of Fractions 3226/288,9492/6183 is 2/197856
Least Common Multiple of 288,6183 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 288,6183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,6183) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(288,6183) x common factors =9 x 1 = 9
LCM(288,6183) = ( 288 × 6183 ) / 9
LCM(288,6183) = 1780704 / 9
LCM(288,6183) = 197856
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FAQs on GCF of Fractions of 3226/288, 9492/6183
1. What is the HCF of 3226,9492?
The HCF of 3226,9492 is 2
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 3226/288, 9492/6183?
Answer: GCF of Numerators as per given numbers 3226/288, 9492/6183 is
GCF of Numerators i.e. for 3226,9492 is 2
LCM of denominators i.e. for 288,6183 is 197856.
Thus, GCF of Fractions is 2/197856.Finally, GCF of Fractions for 3226/288, 9492/6183 is 2/197856.