GCF of 9872/323, 9568/5404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9872/323, 9568/5404 i.e 16/1745492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9872/323, 9568/5404.
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 9872/323,9568/5404?
Given fractions are 9872/323,9568/5404
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 9872/323,9568/5404, numerators are 9872,9568
Denominators are 323,5404
The GCF of 9872,9568 is 16 .
LCM of 323,5404 is 1745492.
The greatest common factor of 9872/323,9568/5404 = [GCF of 9872,9568]/[LCM of 323,5404]= 16/1745492
Therefore, the GCF of 9872/323,9568/5404 is 16/1745492.
To find the highest common factor of 9872,9568, we have to find the factors of both numbers and list the highest common factor.
The factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The HCF of 9872,9568 is 16.
Lets's calculate GCF of 9872,9568
| 2 | 9872, 9568 |
| 2 | 4936, 4784 |
| 2 | 2468, 2392 |
| 2 | 1234, 1196 |
| 617, 598 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9872,9568 By Matching Biggest Common Factor Method
Now, list down the factors of 9872
:1,2,4,8,16,617,1234,2468,4936,9872
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Greatest Common Factor
We found the factors 9872,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 9872,9568 is 16.
Lets's calculate LCM of 323,5404
Given numbers has no common factors except 1. So, there LCM is their product i.e 1745492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1745492
Therefore, the GCF of Fractions 9872/323,9568/5404 is 16/1745492
Least Common Multiple of 323,5404 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 323,5404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,5404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,5404) x common factors =1 x 1 = 1
LCM(323,5404) = ( 323 × 5404 ) / 1
LCM(323,5404) = 1745492 / 1
LCM(323,5404) = 1745492
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FAQs on GCF of Fractions of 9872/323, 9568/5404
1. What is the HCF of 9872,9568?
The HCF of 9872,9568 is 16
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 9872/323, 9568/5404?
Answer: GCF of Numerators as per given numbers 9872/323, 9568/5404 is
GCF of Numerators i.e. for 9872,9568 is 16
LCM of denominators i.e. for 323,5404 is 1745492.
Thus, GCF of Fractions is 16/1745492.Finally, GCF of Fractions for 9872/323, 9568/5404 is 16/1745492.