GCF of 8616/394, 8492/2593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8616/394, 8492/2593 i.e 4/1021642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8616/394, 8492/2593.
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 8616/394,8492/2593?
Given fractions are 8616/394,8492/2593
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 8616/394,8492/2593, numerators are 8616,8492
Denominators are 394,2593
The GCF of 8616,8492 is 4 .
LCM of 394,2593 is 1021642.
The greatest common factor of 8616/394,8492/2593 = [GCF of 8616,8492]/[LCM of 394,2593]= 4/1021642
Therefore, the GCF of 8616/394,8492/2593 is 4/1021642.
To find the highest common factor of 8616,8492, we have to find the factors of both numbers and list the highest common factor.
The factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616
The factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492
The HCF of 8616,8492 is 4.
Lets's calculate GCF of 8616,8492
| 2 | 8616, 8492 |
| 2 | 4308, 4246 |
| 2154, 2123 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8616,8492 By Matching Biggest Common Factor Method
Now, list down the factors of 8616
:1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616
Now, list down the factors of 8492
:1,2,4,11,22,44,193,386,772,2123,4246,8492
Greatest Common Factor
We found the factors 8616,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 8616,8492 is 4.
Lets's calculate LCM of 394,2593
Given numbers has no common factors except 1. So, there LCM is their product i.e 1021642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1021642
Therefore, the GCF of Fractions 8616/394,8492/2593 is 4/1021642
Least Common Multiple of 394,2593 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 394,2593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,2593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,2593) x common factors =1 x 1 = 1
LCM(394,2593) = ( 394 × 2593 ) / 1
LCM(394,2593) = 1021642 / 1
LCM(394,2593) = 1021642
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FAQs on GCF of Fractions of 8616/394, 8492/2593
1. What is the HCF of 8616,8492?
The HCF of 8616,8492 is 4
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 8616/394, 8492/2593?
Answer: GCF of Numerators as per given numbers 8616/394, 8492/2593 is
GCF of Numerators i.e. for 8616,8492 is 4
LCM of denominators i.e. for 394,2593 is 1021642.
Thus, GCF of Fractions is 4/1021642.Finally, GCF of Fractions for 8616/394, 8492/2593 is 4/1021642.