GCF of 9184/351, 5654/8172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9184/351, 5654/8172 i.e 2/318708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9184/351, 5654/8172.
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 9184/351,5654/8172?
Given fractions are 9184/351,5654/8172
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 9184/351,5654/8172, numerators are 9184,5654
Denominators are 351,8172
The GCF of 9184,5654 is 2 .
LCM of 351,8172 is 318708.
The greatest common factor of 9184/351,5654/8172 = [GCF of 9184,5654]/[LCM of 351,8172]= 2/318708
Therefore, the GCF of 9184/351,5654/8172 is 2/318708.
To find the highest common factor of 9184,5654, we have to find the factors of both numbers and list the highest common factor.
The factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184
The factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654
The HCF of 9184,5654 is 2.
Lets's calculate GCF of 9184,5654
| 2 | 9184, 5654 |
| 4592, 2827 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9184,5654 By Matching Biggest Common Factor Method
Now, list down the factors of 9184
:1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184
Now, list down the factors of 5654
:1,2,11,22,257,514,2827,5654
Greatest Common Factor
We found the factors 9184,5654 . The biggest common factor number is the GCF number.
So the greatest common factor 9184,5654 is 2.
Lets's calculate LCM of 351,8172
| 3 | 351, 8172 |
| 3 | 117, 2724 |
| 39, 908 |
∴ So the LCM of the given numbers is 3 x 3 x 39 x 908 = 318708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/318708
Therefore, the GCF of Fractions 9184/351,5654/8172 is 2/318708
Least Common Multiple of 351,8172 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 351,8172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,8172) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(351,8172) x common factors =9 x 1 = 9
LCM(351,8172) = ( 351 × 8172 ) / 9
LCM(351,8172) = 2868372 / 9
LCM(351,8172) = 318708
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FAQs on GCF of Fractions of 9184/351, 5654/8172
1. What is the HCF of 9184,5654?
The HCF of 9184,5654 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 9184/351, 5654/8172?
Answer: GCF of Numerators as per given numbers 9184/351, 5654/8172 is
GCF of Numerators i.e. for 9184,5654 is 2
LCM of denominators i.e. for 351,8172 is 318708.
Thus, GCF of Fractions is 2/318708.Finally, GCF of Fractions for 9184/351, 5654/8172 is 2/318708.