GCF of 2788/363, 9184/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2788/363, 9184/116 i.e 164/42108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2788/363, 9184/116.
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 2788/363,9184/116?
Given fractions are 2788/363,9184/116
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 2788/363,9184/116, numerators are 2788,9184
Denominators are 363,116
The GCF of 2788,9184 is 164 .
LCM of 363,116 is 42108.
The greatest common factor of 2788/363,9184/116 = [GCF of 2788,9184]/[LCM of 363,116]= 164/42108
Therefore, the GCF of 2788/363,9184/116 is 164/42108.
To find the highest common factor of 2788,9184, we have to find the factors of both numbers and list the highest common factor.
The factors of 2788 are 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, 2788
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 HCF of 2788,9184 is 164.
Lets's calculate GCF of 2788,9184
| 2 | 2788, 9184 |
| 2 | 1394, 4592 |
| 41 | 697, 2296 |
| 17, 56 |
∴ So the GCF of the given numbers is 2 x 2 x 41 = 164
Greatest Common Factor of 2788,9184 By Matching Biggest Common Factor Method
Now, list down the factors of 2788
:1,2,4,17,34,41,68,82,164,697,1394,2788
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
Greatest Common Factor
We found the factors 2788,9184 . The biggest common factor number is the GCF number.
So the greatest common factor 2788,9184 is 164.
Lets's calculate LCM of 363,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 42108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 164/42108
Therefore, the GCF of Fractions 2788/363,9184/116 is 164/42108
Least Common Multiple of 363,116 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 363,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,116) x common factors =1 x 1 = 1
LCM(363,116) = ( 363 × 116 ) / 1
LCM(363,116) = 42108 / 1
LCM(363,116) = 42108
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FAQs on GCF of Fractions of 2788/363, 9184/116
1. What is the HCF of 2788,9184?
The HCF of 2788,9184 is 164
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 2788/363, 9184/116?
Answer: GCF of Numerators as per given numbers 2788/363, 9184/116 is
GCF of Numerators i.e. for 2788,9184 is 164
LCM of denominators i.e. for 363,116 is 42108.
Thus, GCF of Fractions is 164/42108.Finally, GCF of Fractions for 2788/363, 9184/116 is 164/42108.