GCF of 3105/903, 7932/406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3105/903, 7932/406 i.e 3/52374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3105/903, 7932/406.
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 3105/903,7932/406?
Given fractions are 3105/903,7932/406
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 3105/903,7932/406, numerators are 3105,7932
Denominators are 903,406
The GCF of 3105,7932 is 3 .
LCM of 903,406 is 52374.
The greatest common factor of 3105/903,7932/406 = [GCF of 3105,7932]/[LCM of 903,406]= 3/52374
Therefore, the GCF of 3105/903,7932/406 is 3/52374.
To find the highest common factor of 3105,7932, we have to find the factors of both numbers and list the highest common factor.
The factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105
The factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932
The HCF of 3105,7932 is 3.
Lets's calculate GCF of 3105,7932
| 3 | 3105, 7932 |
| 1035, 2644 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3105,7932 By Matching Biggest Common Factor Method
Now, list down the factors of 3105
:1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105
Now, list down the factors of 7932
:1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Greatest Common Factor
We found the factors 3105,7932 . The biggest common factor number is the GCF number.
So the greatest common factor 3105,7932 is 3.
Lets's calculate LCM of 903,406
| 7 | 903, 406 |
| 129, 58 |
∴ So the LCM of the given numbers is 7 x 129 x 58 = 52374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52374
Therefore, the GCF of Fractions 3105/903,7932/406 is 3/52374
Least Common Multiple of 903,406 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 903,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,406) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(903,406) x common factors =7 x 1 = 7
LCM(903,406) = ( 903 × 406 ) / 7
LCM(903,406) = 366618 / 7
LCM(903,406) = 52374
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FAQs on GCF of Fractions of 3105/903, 7932/406
1. What is the HCF of 3105,7932?
The HCF of 3105,7932 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 3105/903, 7932/406?
Answer: GCF of Numerators as per given numbers 3105/903, 7932/406 is
GCF of Numerators i.e. for 3105,7932 is 3
LCM of denominators i.e. for 903,406 is 52374.
Thus, GCF of Fractions is 3/52374.Finally, GCF of Fractions for 3105/903, 7932/406 is 3/52374.