GCF of 7281/128, 1023/8500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7281/128, 1023/8500 i.e 3/272000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7281/128, 1023/8500.
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 7281/128,1023/8500?
Given fractions are 7281/128,1023/8500
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 7281/128,1023/8500, numerators are 7281,1023
Denominators are 128,8500
The GCF of 7281,1023 is 3 .
LCM of 128,8500 is 272000.
The greatest common factor of 7281/128,1023/8500 = [GCF of 7281,1023]/[LCM of 128,8500]= 3/272000
Therefore, the GCF of 7281/128,1023/8500 is 3/272000.
To find the highest common factor of 7281,1023, we have to find the factors of both numbers and list the highest common factor.
The factors of 7281 are 1, 3, 9, 809, 2427, 7281
The factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023
The HCF of 7281,1023 is 3.
Lets's calculate GCF of 7281,1023
| 3 | 7281, 1023 |
| 2427, 341 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7281,1023 By Matching Biggest Common Factor Method
Now, list down the factors of 7281
:1,3,9,809,2427,7281
Now, list down the factors of 1023
:1,3,11,31,33,93,341,1023
Greatest Common Factor
We found the factors 7281,1023 . The biggest common factor number is the GCF number.
So the greatest common factor 7281,1023 is 3.
Lets's calculate LCM of 128,8500
| 2 | 128, 8500 |
| 2 | 64, 4250 |
| 32, 2125 |
∴ So the LCM of the given numbers is 2 x 2 x 32 x 2125 = 272000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/272000
Therefore, the GCF of Fractions 7281/128,1023/8500 is 3/272000
Least Common Multiple of 128,8500 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 128,8500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,8500) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(128,8500) x common factors =4 x 1 = 4
LCM(128,8500) = ( 128 × 8500 ) / 4
LCM(128,8500) = 1088000 / 4
LCM(128,8500) = 272000
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FAQs on GCF of Fractions of 7281/128, 1023/8500
1. What is the HCF of 7281,1023?
The HCF of 7281,1023 is 3
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 7281/128, 1023/8500?
Answer: GCF of Numerators as per given numbers 7281/128, 1023/8500 is
GCF of Numerators i.e. for 7281,1023 is 3
LCM of denominators i.e. for 128,8500 is 272000.
Thus, GCF of Fractions is 3/272000.Finally, GCF of Fractions for 7281/128, 1023/8500 is 3/272000.