GCF of 9231/851, 2328/2223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9231/851, 2328/2223 i.e 3/1891773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9231/851, 2328/2223.
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 9231/851,2328/2223?
Given fractions are 9231/851,2328/2223
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 9231/851,2328/2223, numerators are 9231,2328
Denominators are 851,2223
The GCF of 9231,2328 is 3 .
LCM of 851,2223 is 1891773.
The greatest common factor of 9231/851,2328/2223 = [GCF of 9231,2328]/[LCM of 851,2223]= 3/1891773
Therefore, the GCF of 9231/851,2328/2223 is 3/1891773.
To find the highest common factor of 9231,2328, we have to find the factors of both numbers and list the highest common factor.
The factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231
The factors of 2328 are 1, 2, 3, 4, 6, 8, 12, 24, 97, 194, 291, 388, 582, 776, 1164, 2328
The HCF of 9231,2328 is 3.
Lets's calculate GCF of 9231,2328
| 3 | 9231, 2328 |
| 3077, 776 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9231,2328 By Matching Biggest Common Factor Method
Now, list down the factors of 9231
:1,3,17,51,181,543,3077,9231
Now, list down the factors of 2328
:1,2,3,4,6,8,12,24,97,194,291,388,582,776,1164,2328
Greatest Common Factor
We found the factors 9231,2328 . The biggest common factor number is the GCF number.
So the greatest common factor 9231,2328 is 3.
Lets's calculate LCM of 851,2223
Given numbers has no common factors except 1. So, there LCM is their product i.e 1891773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1891773
Therefore, the GCF of Fractions 9231/851,2328/2223 is 3/1891773
Least Common Multiple of 851,2223 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 851,2223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,2223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,2223) x common factors =1 x 1 = 1
LCM(851,2223) = ( 851 × 2223 ) / 1
LCM(851,2223) = 1891773 / 1
LCM(851,2223) = 1891773
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FAQs on GCF of Fractions of 9231/851, 2328/2223
1. What is the HCF of 9231,2328?
The HCF of 9231,2328 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 9231/851, 2328/2223?
Answer: GCF of Numerators as per given numbers 9231/851, 2328/2223 is
GCF of Numerators i.e. for 9231,2328 is 3
LCM of denominators i.e. for 851,2223 is 1891773.
Thus, GCF of Fractions is 3/1891773.Finally, GCF of Fractions for 9231/851, 2328/2223 is 3/1891773.