GCF of 9753/805, 5025/8960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9753/805, 5025/8960 i.e 3/206080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9753/805, 5025/8960.
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 9753/805,5025/8960?
Given fractions are 9753/805,5025/8960
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 9753/805,5025/8960, numerators are 9753,5025
Denominators are 805,8960
The GCF of 9753,5025 is 3 .
LCM of 805,8960 is 206080.
The greatest common factor of 9753/805,5025/8960 = [GCF of 9753,5025]/[LCM of 805,8960]= 3/206080
Therefore, the GCF of 9753/805,5025/8960 is 3/206080.
To find the highest common factor of 9753,5025, we have to find the factors of both numbers and list the highest common factor.
The factors of 9753 are 1, 3, 3251, 9753
The factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025
The HCF of 9753,5025 is 3.
Lets's calculate GCF of 9753,5025
| 3 | 9753, 5025 |
| 3251, 1675 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9753,5025 By Matching Biggest Common Factor Method
Now, list down the factors of 9753
:1,3,3251,9753
Now, list down the factors of 5025
:1,3,5,15,25,67,75,201,335,1005,1675,5025
Greatest Common Factor
We found the factors 9753,5025 . The biggest common factor number is the GCF number.
So the greatest common factor 9753,5025 is 3.
Lets's calculate LCM of 805,8960
| 5 | 805, 8960 |
| 7 | 161, 1792 |
| 23, 256 |
∴ So the LCM of the given numbers is 5 x 7 x 23 x 256 = 206080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/206080
Therefore, the GCF of Fractions 9753/805,5025/8960 is 3/206080
Least Common Multiple of 805,8960 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 805,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,8960) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(805,8960) x common factors =35 x 1 = 35
LCM(805,8960) = ( 805 × 8960 ) / 35
LCM(805,8960) = 7212800 / 35
LCM(805,8960) = 206080
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FAQs on GCF of Fractions of 9753/805, 5025/8960
1. What is the HCF of 9753,5025?
The HCF of 9753,5025 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 9753/805, 5025/8960?
Answer: GCF of Numerators as per given numbers 9753/805, 5025/8960 is
GCF of Numerators i.e. for 9753,5025 is 3
LCM of denominators i.e. for 805,8960 is 206080.
Thus, GCF of Fractions is 3/206080.Finally, GCF of Fractions for 9753/805, 5025/8960 is 3/206080.