GCF of 9152/160, 5718/8150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9152/160, 5718/8150 i.e 2/130400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9152/160, 5718/8150.
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 9152/160,5718/8150?
Given fractions are 9152/160,5718/8150
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 9152/160,5718/8150, numerators are 9152,5718
Denominators are 160,8150
The GCF of 9152,5718 is 2 .
LCM of 160,8150 is 130400.
The greatest common factor of 9152/160,5718/8150 = [GCF of 9152,5718]/[LCM of 160,8150]= 2/130400
Therefore, the GCF of 9152/160,5718/8150 is 2/130400.
To find the highest common factor of 9152,5718, we have to find the factors of both numbers and list the highest common factor.
The factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152
The factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718
The HCF of 9152,5718 is 2.
Lets's calculate GCF of 9152,5718
| 2 | 9152, 5718 |
| 4576, 2859 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9152,5718 By Matching Biggest Common Factor Method
Now, list down the factors of 9152
:1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Now, list down the factors of 5718
:1,2,3,6,953,1906,2859,5718
Greatest Common Factor
We found the factors 9152,5718 . The biggest common factor number is the GCF number.
So the greatest common factor 9152,5718 is 2.
Lets's calculate LCM of 160,8150
| 2 | 160, 8150 |
| 5 | 80, 4075 |
| 16, 815 |
∴ So the LCM of the given numbers is 2 x 5 x 16 x 815 = 130400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130400
Therefore, the GCF of Fractions 9152/160,5718/8150 is 2/130400
Least Common Multiple of 160,8150 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 160,8150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,8150) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(160,8150) x common factors =10 x 1 = 10
LCM(160,8150) = ( 160 × 8150 ) / 10
LCM(160,8150) = 1304000 / 10
LCM(160,8150) = 130400
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FAQs on GCF of Fractions of 9152/160, 5718/8150
1. What is the HCF of 9152,5718?
The HCF of 9152,5718 is 2
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 9152/160, 5718/8150?
Answer: GCF of Numerators as per given numbers 9152/160, 5718/8150 is
GCF of Numerators i.e. for 9152,5718 is 2
LCM of denominators i.e. for 160,8150 is 130400.
Thus, GCF of Fractions is 2/130400.Finally, GCF of Fractions for 9152/160, 5718/8150 is 2/130400.