GCF of 9233/860, 1806/4308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9233/860, 1806/4308 i.e 7/926220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9233/860, 1806/4308.
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 9233/860,1806/4308?
Given fractions are 9233/860,1806/4308
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 9233/860,1806/4308, numerators are 9233,1806
Denominators are 860,4308
The GCF of 9233,1806 is 7 .
LCM of 860,4308 is 926220.
The greatest common factor of 9233/860,1806/4308 = [GCF of 9233,1806]/[LCM of 860,4308]= 7/926220
Therefore, the GCF of 9233/860,1806/4308 is 7/926220.
To find the highest common factor of 9233,1806, we have to find the factors of both numbers and list the highest common factor.
The factors of 9233 are 1, 7, 1319, 9233
The factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806
The HCF of 9233,1806 is 7.
Lets's calculate GCF of 9233,1806
| 7 | 9233, 1806 |
| 1319, 258 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9233,1806 By Matching Biggest Common Factor Method
Now, list down the factors of 9233
:1,7,1319,9233
Now, list down the factors of 1806
:1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806
Greatest Common Factor
We found the factors 9233,1806 . The biggest common factor number is the GCF number.
So the greatest common factor 9233,1806 is 7.
Lets's calculate LCM of 860,4308
| 2 | 860, 4308 |
| 2 | 430, 2154 |
| 215, 1077 |
∴ So the LCM of the given numbers is 2 x 2 x 215 x 1077 = 926220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/926220
Therefore, the GCF of Fractions 9233/860,1806/4308 is 7/926220
Least Common Multiple of 860,4308 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 860,4308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,4308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(860,4308) x common factors =4 x 1 = 4
LCM(860,4308) = ( 860 × 4308 ) / 4
LCM(860,4308) = 3704880 / 4
LCM(860,4308) = 926220
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FAQs on GCF of Fractions of 9233/860, 1806/4308
1. What is the HCF of 9233,1806?
The HCF of 9233,1806 is 7
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 9233/860, 1806/4308?
Answer: GCF of Numerators as per given numbers 9233/860, 1806/4308 is
GCF of Numerators i.e. for 9233,1806 is 7
LCM of denominators i.e. for 860,4308 is 926220.
Thus, GCF of Fractions is 7/926220.Finally, GCF of Fractions for 9233/860, 1806/4308 is 7/926220.