GCF of 8384/967, 9808/3581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8384/967, 9808/3581 i.e 16/3462827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8384/967, 9808/3581.
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 8384/967,9808/3581?
Given fractions are 8384/967,9808/3581
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 8384/967,9808/3581, numerators are 8384,9808
Denominators are 967,3581
The GCF of 8384,9808 is 16 .
LCM of 967,3581 is 3462827.
The greatest common factor of 8384/967,9808/3581 = [GCF of 8384,9808]/[LCM of 967,3581]= 16/3462827
Therefore, the GCF of 8384/967,9808/3581 is 16/3462827.
To find the highest common factor of 8384,9808, we have to find the factors of both numbers and list the highest common factor.
The factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384
The factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808
The HCF of 8384,9808 is 16.
Lets's calculate GCF of 8384,9808
| 2 | 8384, 9808 |
| 2 | 4192, 4904 |
| 2 | 2096, 2452 |
| 2 | 1048, 1226 |
| 524, 613 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8384,9808 By Matching Biggest Common Factor Method
Now, list down the factors of 8384
:1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384
Now, list down the factors of 9808
:1,2,4,8,16,613,1226,2452,4904,9808
Greatest Common Factor
We found the factors 8384,9808 . The biggest common factor number is the GCF number.
So the greatest common factor 8384,9808 is 16.
Lets's calculate LCM of 967,3581
Given numbers has no common factors except 1. So, there LCM is their product i.e 3462827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3462827
Therefore, the GCF of Fractions 8384/967,9808/3581 is 16/3462827
Least Common Multiple of 967,3581 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 967,3581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,3581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,3581) x common factors =1 x 1 = 1
LCM(967,3581) = ( 967 × 3581 ) / 1
LCM(967,3581) = 3462827 / 1
LCM(967,3581) = 3462827
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FAQs on GCF of Fractions of 8384/967, 9808/3581
1. What is the HCF of 8384,9808?
The HCF of 8384,9808 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 8384/967, 9808/3581?
Answer: GCF of Numerators as per given numbers 8384/967, 9808/3581 is
GCF of Numerators i.e. for 8384,9808 is 16
LCM of denominators i.e. for 967,3581 is 3462827.
Thus, GCF of Fractions is 16/3462827.Finally, GCF of Fractions for 8384/967, 9808/3581 is 16/3462827.