GCF of 5104/155, 9504/3672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5104/155, 9504/3672 i.e 176/569160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5104/155, 9504/3672.
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 5104/155,9504/3672?
Given fractions are 5104/155,9504/3672
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 5104/155,9504/3672, numerators are 5104,9504
Denominators are 155,3672
The GCF of 5104,9504 is 176 .
LCM of 155,3672 is 569160.
The greatest common factor of 5104/155,9504/3672 = [GCF of 5104,9504]/[LCM of 155,3672]= 176/569160
Therefore, the GCF of 5104/155,9504/3672 is 176/569160.
To find the highest common factor of 5104,9504, we have to find the factors of both numbers and list the highest common factor.
The factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The HCF of 5104,9504 is 176.
Lets's calculate GCF of 5104,9504
| 2 | 5104, 9504 |
| 2 | 2552, 4752 |
| 2 | 1276, 2376 |
| 2 | 638, 1188 |
| 11 | 319, 594 |
| 29, 54 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 11 = 176
Greatest Common Factor of 5104,9504 By Matching Biggest Common Factor Method
Now, list down the factors of 5104
:1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104
Now, list down the factors of 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Greatest Common Factor
We found the factors 5104,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 5104,9504 is 176.
Lets's calculate LCM of 155,3672
Given numbers has no common factors except 1. So, there LCM is their product i.e 569160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 176/569160
Therefore, the GCF of Fractions 5104/155,9504/3672 is 176/569160
Least Common Multiple of 155,3672 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 155,3672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,3672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,3672) x common factors =1 x 1 = 1
LCM(155,3672) = ( 155 × 3672 ) / 1
LCM(155,3672) = 569160 / 1
LCM(155,3672) = 569160
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FAQs on GCF of Fractions of 5104/155, 9504/3672
1. What is the HCF of 5104,9504?
The HCF of 5104,9504 is 176
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 5104/155, 9504/3672?
Answer: GCF of Numerators as per given numbers 5104/155, 9504/3672 is
GCF of Numerators i.e. for 5104,9504 is 176
LCM of denominators i.e. for 155,3672 is 569160.
Thus, GCF of Fractions is 176/569160.Finally, GCF of Fractions for 5104/155, 9504/3672 is 176/569160.