GCF of 9748/142, 9504/2275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9748/142, 9504/2275 i.e 4/323050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9748/142, 9504/2275.
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 9748/142,9504/2275?
Given fractions are 9748/142,9504/2275
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 9748/142,9504/2275, numerators are 9748,9504
Denominators are 142,2275
The GCF of 9748,9504 is 4 .
LCM of 142,2275 is 323050.
The greatest common factor of 9748/142,9504/2275 = [GCF of 9748,9504]/[LCM of 142,2275]= 4/323050
Therefore, the GCF of 9748/142,9504/2275 is 4/323050.
To find the highest common factor of 9748,9504, we have to find the factors of both numbers and list the highest common factor.
The factors of 9748 are 1, 2, 4, 2437, 4874, 9748
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 9748,9504 is 4.
Lets's calculate GCF of 9748,9504
| 2 | 9748, 9504 |
| 2 | 4874, 4752 |
| 2437, 2376 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9748,9504 By Matching Biggest Common Factor Method
Now, list down the factors of 9748
:1,2,4,2437,4874,9748
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 9748,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 9748,9504 is 4.
Lets's calculate LCM of 142,2275
Given numbers has no common factors except 1. So, there LCM is their product i.e 323050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/323050
Therefore, the GCF of Fractions 9748/142,9504/2275 is 4/323050
Least Common Multiple of 142,2275 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 142,2275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,2275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,2275) x common factors =1 x 1 = 1
LCM(142,2275) = ( 142 × 2275 ) / 1
LCM(142,2275) = 323050 / 1
LCM(142,2275) = 323050
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FAQs on GCF of Fractions of 9748/142, 9504/2275
1. What is the HCF of 9748,9504?
The HCF of 9748,9504 is 4
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 9748/142, 9504/2275?
Answer: GCF of Numerators as per given numbers 9748/142, 9504/2275 is
GCF of Numerators i.e. for 9748,9504 is 4
LCM of denominators i.e. for 142,2275 is 323050.
Thus, GCF of Fractions is 4/323050.Finally, GCF of Fractions for 9748/142, 9504/2275 is 4/323050.