GCF of 7173/232, 3204/9064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7173/232, 3204/9064 i.e 9/262856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7173/232, 3204/9064.
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 7173/232,3204/9064?
Given fractions are 7173/232,3204/9064
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 7173/232,3204/9064, numerators are 7173,3204
Denominators are 232,9064
The GCF of 7173,3204 is 9 .
LCM of 232,9064 is 262856.
The greatest common factor of 7173/232,3204/9064 = [GCF of 7173,3204]/[LCM of 232,9064]= 9/262856
Therefore, the GCF of 7173/232,3204/9064 is 9/262856.
To find the highest common factor of 7173,3204, we have to find the factors of both numbers and list the highest common factor.
The factors of 7173 are 1, 3, 9, 797, 2391, 7173
The factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204
The HCF of 7173,3204 is 9.
Lets's calculate GCF of 7173,3204
| 3 | 7173, 3204 |
| 3 | 2391, 1068 |
| 797, 356 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7173,3204 By Matching Biggest Common Factor Method
Now, list down the factors of 7173
:1,3,9,797,2391,7173
Now, list down the factors of 3204
:1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204
Greatest Common Factor
We found the factors 7173,3204 . The biggest common factor number is the GCF number.
So the greatest common factor 7173,3204 is 9.
Lets's calculate LCM of 232,9064
| 2 | 232, 9064 |
| 2 | 116, 4532 |
| 2 | 58, 2266 |
| 29, 1133 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 1133 = 262856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/262856
Therefore, the GCF of Fractions 7173/232,3204/9064 is 9/262856
Least Common Multiple of 232,9064 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 232,9064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,9064) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(232,9064) x common factors =8 x 1 = 8
LCM(232,9064) = ( 232 × 9064 ) / 8
LCM(232,9064) = 2102848 / 8
LCM(232,9064) = 262856
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FAQs on GCF of Fractions of 7173/232, 3204/9064
1. What is the HCF of 7173,3204?
The HCF of 7173,3204 is 9
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 7173/232, 3204/9064?
Answer: GCF of Numerators as per given numbers 7173/232, 3204/9064 is
GCF of Numerators i.e. for 7173,3204 is 9
LCM of denominators i.e. for 232,9064 is 262856.
Thus, GCF of Fractions is 9/262856.Finally, GCF of Fractions for 7173/232, 3204/9064 is 9/262856.