GCF of 9270/848, 1794/8830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9270/848, 1794/8830 i.e 6/3743920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9270/848, 1794/8830.
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 9270/848,1794/8830?
Given fractions are 9270/848,1794/8830
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 9270/848,1794/8830, numerators are 9270,1794
Denominators are 848,8830
The GCF of 9270,1794 is 6 .
LCM of 848,8830 is 3743920.
The greatest common factor of 9270/848,1794/8830 = [GCF of 9270,1794]/[LCM of 848,8830]= 6/3743920
Therefore, the GCF of 9270/848,1794/8830 is 6/3743920.
To find the highest common factor of 9270,1794, we have to find the factors of both numbers and list the highest common factor.
The factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270
The factors of 1794 are 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794
The HCF of 9270,1794 is 6.
Lets's calculate GCF of 9270,1794
| 2 | 9270, 1794 |
| 3 | 4635, 897 |
| 1545, 299 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9270,1794 By Matching Biggest Common Factor Method
Now, list down the factors of 9270
:1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Now, list down the factors of 1794
:1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794
Greatest Common Factor
We found the factors 9270,1794 . The biggest common factor number is the GCF number.
So the greatest common factor 9270,1794 is 6.
Lets's calculate LCM of 848,8830
| 2 | 848, 8830 |
| 424, 4415 |
∴ So the LCM of the given numbers is 2 x 424 x 4415 = 3743920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3743920
Therefore, the GCF of Fractions 9270/848,1794/8830 is 6/3743920
Least Common Multiple of 848,8830 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 848,8830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,8830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,8830) x common factors =2 x 1 = 2
LCM(848,8830) = ( 848 × 8830 ) / 2
LCM(848,8830) = 7487840 / 2
LCM(848,8830) = 3743920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9270/848, 1794/8830
1. What is the HCF of 9270,1794?
The HCF of 9270,1794 is 6
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 9270/848, 1794/8830?
Answer: GCF of Numerators as per given numbers 9270/848, 1794/8830 is
GCF of Numerators i.e. for 9270,1794 is 6
LCM of denominators i.e. for 848,8830 is 3743920.
Thus, GCF of Fractions is 6/3743920.Finally, GCF of Fractions for 9270/848, 1794/8830 is 6/3743920.