GCF of 9184/173, 7136/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9184/173, 7136/722 i.e 32/124906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9184/173, 7136/722.
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 9184/173,7136/722?
Given fractions are 9184/173,7136/722
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 9184/173,7136/722, numerators are 9184,7136
Denominators are 173,722
The GCF of 9184,7136 is 32 .
LCM of 173,722 is 124906.
The greatest common factor of 9184/173,7136/722 = [GCF of 9184,7136]/[LCM of 173,722]= 32/124906
Therefore, the GCF of 9184/173,7136/722 is 32/124906.
To find the highest common factor of 9184,7136, 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 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136
The HCF of 9184,7136 is 32.
Lets's calculate GCF of 9184,7136
| 2 | 9184, 7136 |
| 2 | 4592, 3568 |
| 2 | 2296, 1784 |
| 2 | 1148, 892 |
| 2 | 574, 446 |
| 287, 223 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 9184,7136 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 7136
:1,2,4,8,16,32,223,446,892,1784,3568,7136
Greatest Common Factor
We found the factors 9184,7136 . The biggest common factor number is the GCF number.
So the greatest common factor 9184,7136 is 32.
Lets's calculate LCM of 173,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 124906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/124906
Therefore, the GCF of Fractions 9184/173,7136/722 is 32/124906
Least Common Multiple of 173,722 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 173,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,722) x common factors =1 x 1 = 1
LCM(173,722) = ( 173 × 722 ) / 1
LCM(173,722) = 124906 / 1
LCM(173,722) = 124906
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FAQs on GCF of Fractions of 9184/173, 7136/722
1. What is the HCF of 9184,7136?
The HCF of 9184,7136 is 32
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 9184/173, 7136/722?
Answer: GCF of Numerators as per given numbers 9184/173, 7136/722 is
GCF of Numerators i.e. for 9184,7136 is 32
LCM of denominators i.e. for 173,722 is 124906.
Thus, GCF of Fractions is 32/124906.Finally, GCF of Fractions for 9184/173, 7136/722 is 32/124906.