GCF of 9441/736, 3093/5146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9441/736, 3093/5146 i.e 3/1893728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9441/736, 3093/5146.
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 9441/736,3093/5146?
Given fractions are 9441/736,3093/5146
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 9441/736,3093/5146, numerators are 9441,3093
Denominators are 736,5146
The GCF of 9441,3093 is 3 .
LCM of 736,5146 is 1893728.
The greatest common factor of 9441/736,3093/5146 = [GCF of 9441,3093]/[LCM of 736,5146]= 3/1893728
Therefore, the GCF of 9441/736,3093/5146 is 3/1893728.
To find the highest common factor of 9441,3093, we have to find the factors of both numbers and list the highest common factor.
The factors of 9441 are 1, 3, 9, 1049, 3147, 9441
The factors of 3093 are 1, 3, 1031, 3093
The HCF of 9441,3093 is 3.
Lets's calculate GCF of 9441,3093
| 3 | 9441, 3093 |
| 3147, 1031 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9441,3093 By Matching Biggest Common Factor Method
Now, list down the factors of 9441
:1,3,9,1049,3147,9441
Now, list down the factors of 3093
:1,3,1031,3093
Greatest Common Factor
We found the factors 9441,3093 . The biggest common factor number is the GCF number.
So the greatest common factor 9441,3093 is 3.
Lets's calculate LCM of 736,5146
| 2 | 736, 5146 |
| 368, 2573 |
∴ So the LCM of the given numbers is 2 x 368 x 2573 = 1893728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1893728
Therefore, the GCF of Fractions 9441/736,3093/5146 is 3/1893728
Least Common Multiple of 736,5146 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 736,5146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,5146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,5146) x common factors =2 x 1 = 2
LCM(736,5146) = ( 736 × 5146 ) / 2
LCM(736,5146) = 3787456 / 2
LCM(736,5146) = 1893728
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FAQs on GCF of Fractions of 9441/736, 3093/5146
1. What is the HCF of 9441,3093?
The HCF of 9441,3093 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 9441/736, 3093/5146?
Answer: GCF of Numerators as per given numbers 9441/736, 3093/5146 is
GCF of Numerators i.e. for 9441,3093 is 3
LCM of denominators i.e. for 736,5146 is 1893728.
Thus, GCF of Fractions is 3/1893728.Finally, GCF of Fractions for 9441/736, 3093/5146 is 3/1893728.