GCF of 8464/961, 8784/9158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8464/961, 8784/9158 i.e 16/8800838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8464/961, 8784/9158.
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 8464/961,8784/9158?
Given fractions are 8464/961,8784/9158
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 8464/961,8784/9158, numerators are 8464,8784
Denominators are 961,9158
The GCF of 8464,8784 is 16 .
LCM of 961,9158 is 8800838.
The greatest common factor of 8464/961,8784/9158 = [GCF of 8464,8784]/[LCM of 961,9158]= 16/8800838
Therefore, the GCF of 8464/961,8784/9158 is 16/8800838.
To find the highest common factor of 8464,8784, we have to find the factors of both numbers and list the highest common factor.
The factors of 8464 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464
The factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784
The HCF of 8464,8784 is 16.
Lets's calculate GCF of 8464,8784
| 2 | 8464, 8784 |
| 2 | 4232, 4392 |
| 2 | 2116, 2196 |
| 2 | 1058, 1098 |
| 529, 549 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8464,8784 By Matching Biggest Common Factor Method
Now, list down the factors of 8464
:1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464
Now, list down the factors of 8784
:1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784
Greatest Common Factor
We found the factors 8464,8784 . The biggest common factor number is the GCF number.
So the greatest common factor 8464,8784 is 16.
Lets's calculate LCM of 961,9158
Given numbers has no common factors except 1. So, there LCM is their product i.e 8800838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/8800838
Therefore, the GCF of Fractions 8464/961,8784/9158 is 16/8800838
Least Common Multiple of 961,9158 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 961,9158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,9158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,9158) x common factors =1 x 1 = 1
LCM(961,9158) = ( 961 × 9158 ) / 1
LCM(961,9158) = 8800838 / 1
LCM(961,9158) = 8800838
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FAQs on GCF of Fractions of 8464/961, 8784/9158
1. What is the HCF of 8464,8784?
The HCF of 8464,8784 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 8464/961, 8784/9158?
Answer: GCF of Numerators as per given numbers 8464/961, 8784/9158 is
GCF of Numerators i.e. for 8464,8784 is 16
LCM of denominators i.e. for 961,9158 is 8800838.
Thus, GCF of Fractions is 16/8800838.Finally, GCF of Fractions for 8464/961, 8784/9158 is 16/8800838.