GCF of 9846/848, 3914/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9846/848, 3914/721 i.e 2/611408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9846/848, 3914/721.
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 9846/848,3914/721?
Given fractions are 9846/848,3914/721
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 9846/848,3914/721, numerators are 9846,3914
Denominators are 848,721
The GCF of 9846,3914 is 2 .
LCM of 848,721 is 611408.
The greatest common factor of 9846/848,3914/721 = [GCF of 9846,3914]/[LCM of 848,721]= 2/611408
Therefore, the GCF of 9846/848,3914/721 is 2/611408.
To find the highest common factor of 9846,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 9846,3914 is 2.
Lets's calculate GCF of 9846,3914
| 2 | 9846, 3914 |
| 4923, 1957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9846,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 9846
:1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 9846,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 9846,3914 is 2.
Lets's calculate LCM of 848,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 611408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/611408
Therefore, the GCF of Fractions 9846/848,3914/721 is 2/611408
Least Common Multiple of 848,721 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 848,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,721) x common factors =1 x 1 = 1
LCM(848,721) = ( 848 × 721 ) / 1
LCM(848,721) = 611408 / 1
LCM(848,721) = 611408
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FAQs on GCF of Fractions of 9846/848, 3914/721
1. What is the HCF of 9846,3914?
The HCF of 9846,3914 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 9846/848, 3914/721?
Answer: GCF of Numerators as per given numbers 9846/848, 3914/721 is
GCF of Numerators i.e. for 9846,3914 is 2
LCM of denominators i.e. for 848,721 is 611408.
Thus, GCF of Fractions is 2/611408.Finally, GCF of Fractions for 9846/848, 3914/721 is 2/611408.