GCF of 9126/123, 3760/845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9126/123, 3760/845 i.e 2/103935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9126/123, 3760/845.
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 9126/123,3760/845?
Given fractions are 9126/123,3760/845
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 9126/123,3760/845, numerators are 9126,3760
Denominators are 123,845
The GCF of 9126,3760 is 2 .
LCM of 123,845 is 103935.
The greatest common factor of 9126/123,3760/845 = [GCF of 9126,3760]/[LCM of 123,845]= 2/103935
Therefore, the GCF of 9126/123,3760/845 is 2/103935.
To find the highest common factor of 9126,3760, 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 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760
The HCF of 9126,3760 is 2.
Lets's calculate GCF of 9126,3760
| 2 | 9126, 3760 |
| 4563, 1880 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9126,3760 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 3760
:1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760
Greatest Common Factor
We found the factors 9126,3760 . The biggest common factor number is the GCF number.
So the greatest common factor 9126,3760 is 2.
Lets's calculate LCM of 123,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 103935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103935
Therefore, the GCF of Fractions 9126/123,3760/845 is 2/103935
Least Common Multiple of 123,845 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 123,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,845) x common factors =1 x 1 = 1
LCM(123,845) = ( 123 × 845 ) / 1
LCM(123,845) = 103935 / 1
LCM(123,845) = 103935
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FAQs on GCF of Fractions of 9126/123, 3760/845
1. What is the HCF of 9126,3760?
The HCF of 9126,3760 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 9126/123, 3760/845?
Answer: GCF of Numerators as per given numbers 9126/123, 3760/845 is
GCF of Numerators i.e. for 9126,3760 is 2
LCM of denominators i.e. for 123,845 is 103935.
Thus, GCF of Fractions is 2/103935.Finally, GCF of Fractions for 9126/123, 3760/845 is 2/103935.