GCF of 9398/561, 8086/8024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9398/561, 8086/8024 i.e 2/264792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9398/561, 8086/8024.
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 9398/561,8086/8024?
Given fractions are 9398/561,8086/8024
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 9398/561,8086/8024, numerators are 9398,8086
Denominators are 561,8024
The GCF of 9398,8086 is 2 .
LCM of 561,8024 is 264792.
The greatest common factor of 9398/561,8086/8024 = [GCF of 9398,8086]/[LCM of 561,8024]= 2/264792
Therefore, the GCF of 9398/561,8086/8024 is 2/264792.
To find the highest common factor of 9398,8086, we have to find the factors of both numbers and list the highest common factor.
The factors of 9398 are 1, 2, 37, 74, 127, 254, 4699, 9398
The factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086
The HCF of 9398,8086 is 2.
Lets's calculate GCF of 9398,8086
| 2 | 9398, 8086 |
| 4699, 4043 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9398,8086 By Matching Biggest Common Factor Method
Now, list down the factors of 9398
:1,2,37,74,127,254,4699,9398
Now, list down the factors of 8086
:1,2,13,26,311,622,4043,8086
Greatest Common Factor
We found the factors 9398,8086 . The biggest common factor number is the GCF number.
So the greatest common factor 9398,8086 is 2.
Lets's calculate LCM of 561,8024
| 17 | 561, 8024 |
| 33, 472 |
∴ So the LCM of the given numbers is 17 x 33 x 472 = 264792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/264792
Therefore, the GCF of Fractions 9398/561,8086/8024 is 2/264792
Least Common Multiple of 561,8024 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 561,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,8024) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(561,8024) x common factors =17 x 1 = 17
LCM(561,8024) = ( 561 × 8024 ) / 17
LCM(561,8024) = 4501464 / 17
LCM(561,8024) = 264792
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FAQs on GCF of Fractions of 9398/561, 8086/8024
1. What is the HCF of 9398,8086?
The HCF of 9398,8086 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 9398/561, 8086/8024?
Answer: GCF of Numerators as per given numbers 9398/561, 8086/8024 is
GCF of Numerators i.e. for 9398,8086 is 2
LCM of denominators i.e. for 561,8024 is 264792.
Thus, GCF of Fractions is 2/264792.Finally, GCF of Fractions for 9398/561, 8086/8024 is 2/264792.