GCF of 9390/184, 5788/1026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9390/184, 5788/1026 i.e 2/94392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9390/184, 5788/1026.
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 9390/184,5788/1026?
Given fractions are 9390/184,5788/1026
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 9390/184,5788/1026, numerators are 9390,5788
Denominators are 184,1026
The GCF of 9390,5788 is 2 .
LCM of 184,1026 is 94392.
The greatest common factor of 9390/184,5788/1026 = [GCF of 9390,5788]/[LCM of 184,1026]= 2/94392
Therefore, the GCF of 9390/184,5788/1026 is 2/94392.
To find the highest common factor of 9390,5788, we have to find the factors of both numbers and list the highest common factor.
The factors of 9390 are 1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695, 9390
The factors of 5788 are 1, 2, 4, 1447, 2894, 5788
The HCF of 9390,5788 is 2.
Lets's calculate GCF of 9390,5788
| 2 | 9390, 5788 |
| 4695, 2894 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9390,5788 By Matching Biggest Common Factor Method
Now, list down the factors of 9390
:1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390
Now, list down the factors of 5788
:1,2,4,1447,2894,5788
Greatest Common Factor
We found the factors 9390,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 9390,5788 is 2.
Lets's calculate LCM of 184,1026
| 2 | 184, 1026 |
| 92, 513 |
∴ So the LCM of the given numbers is 2 x 92 x 513 = 94392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94392
Therefore, the GCF of Fractions 9390/184,5788/1026 is 2/94392
Least Common Multiple of 184,1026 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 184,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,1026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(184,1026) x common factors =2 x 1 = 2
LCM(184,1026) = ( 184 × 1026 ) / 2
LCM(184,1026) = 188784 / 2
LCM(184,1026) = 94392
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FAQs on GCF of Fractions of 9390/184, 5788/1026
1. What is the HCF of 9390,5788?
The HCF of 9390,5788 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 9390/184, 5788/1026?
Answer: GCF of Numerators as per given numbers 9390/184, 5788/1026 is
GCF of Numerators i.e. for 9390,5788 is 2
LCM of denominators i.e. for 184,1026 is 94392.
Thus, GCF of Fractions is 2/94392.Finally, GCF of Fractions for 9390/184, 5788/1026 is 2/94392.