GCF of 9664/886, 6576/2600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9664/886, 6576/2600 i.e 16/1151800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9664/886, 6576/2600.
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 9664/886,6576/2600?
Given fractions are 9664/886,6576/2600
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 9664/886,6576/2600, numerators are 9664,6576
Denominators are 886,2600
The GCF of 9664,6576 is 16 .
LCM of 886,2600 is 1151800.
The greatest common factor of 9664/886,6576/2600 = [GCF of 9664,6576]/[LCM of 886,2600]= 16/1151800
Therefore, the GCF of 9664/886,6576/2600 is 16/1151800.
To find the highest common factor of 9664,6576, we have to find the factors of both numbers and list the highest common factor.
The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664
The factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576
The HCF of 9664,6576 is 16.
Lets's calculate GCF of 9664,6576
| 2 | 9664, 6576 |
| 2 | 4832, 3288 |
| 2 | 2416, 1644 |
| 2 | 1208, 822 |
| 604, 411 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9664,6576 By Matching Biggest Common Factor Method
Now, list down the factors of 9664
:1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Now, list down the factors of 6576
:1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Greatest Common Factor
We found the factors 9664,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 9664,6576 is 16.
Lets's calculate LCM of 886,2600
| 2 | 886, 2600 |
| 443, 1300 |
∴ So the LCM of the given numbers is 2 x 443 x 1300 = 1151800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1151800
Therefore, the GCF of Fractions 9664/886,6576/2600 is 16/1151800
Least Common Multiple of 886,2600 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 886,2600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,2600) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,2600) x common factors =2 x 1 = 2
LCM(886,2600) = ( 886 × 2600 ) / 2
LCM(886,2600) = 2303600 / 2
LCM(886,2600) = 1151800
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FAQs on GCF of Fractions of 9664/886, 6576/2600
1. What is the HCF of 9664,6576?
The HCF of 9664,6576 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 9664/886, 6576/2600?
Answer: GCF of Numerators as per given numbers 9664/886, 6576/2600 is
GCF of Numerators i.e. for 9664,6576 is 16
LCM of denominators i.e. for 886,2600 is 1151800.
Thus, GCF of Fractions is 16/1151800.Finally, GCF of Fractions for 9664/886, 6576/2600 is 16/1151800.