GCF of 9126/430, 9393/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9126/430, 9393/582 i.e 3/125130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9126/430, 9393/582.
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 9126/430,9393/582?
Given fractions are 9126/430,9393/582
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 9126/430,9393/582, numerators are 9126,9393
Denominators are 430,582
The GCF of 9126,9393 is 3 .
LCM of 430,582 is 125130.
The greatest common factor of 9126/430,9393/582 = [GCF of 9126,9393]/[LCM of 430,582]= 3/125130
Therefore, the GCF of 9126/430,9393/582 is 3/125130.
To find the highest common factor of 9126,9393, we have to find the factors of both numbers and list the highest common factor.
The factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126
The factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393
The HCF of 9126,9393 is 3.
Lets's calculate GCF of 9126,9393
| 3 | 9126, 9393 |
| 3042, 3131 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9126,9393 By Matching Biggest Common Factor Method
Now, list down the factors of 9126
:1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126
Now, list down the factors of 9393
:1,3,31,93,101,303,3131,9393
Greatest Common Factor
We found the factors 9126,9393 . The biggest common factor number is the GCF number.
So the greatest common factor 9126,9393 is 3.
Lets's calculate LCM of 430,582
| 2 | 430, 582 |
| 215, 291 |
∴ So the LCM of the given numbers is 2 x 215 x 291 = 125130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/125130
Therefore, the GCF of Fractions 9126/430,9393/582 is 3/125130
Least Common Multiple of 430,582 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 430,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,582) x common factors =2 x 1 = 2
LCM(430,582) = ( 430 × 582 ) / 2
LCM(430,582) = 250260 / 2
LCM(430,582) = 125130
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FAQs on GCF of Fractions of 9126/430, 9393/582
1. What is the HCF of 9126,9393?
The HCF of 9126,9393 is 3
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 9126/430, 9393/582?
Answer: GCF of Numerators as per given numbers 9126/430, 9393/582 is
GCF of Numerators i.e. for 9126,9393 is 3
LCM of denominators i.e. for 430,582 is 125130.
Thus, GCF of Fractions is 3/125130.Finally, GCF of Fractions for 9126/430, 9393/582 is 3/125130.