GCF of 9230/243, 5986/812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9230/243, 5986/812 i.e 2/197316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9230/243, 5986/812.
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 9230/243,5986/812?
Given fractions are 9230/243,5986/812
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 9230/243,5986/812, numerators are 9230,5986
Denominators are 243,812
The GCF of 9230,5986 is 2 .
LCM of 243,812 is 197316.
The greatest common factor of 9230/243,5986/812 = [GCF of 9230,5986]/[LCM of 243,812]= 2/197316
Therefore, the GCF of 9230/243,5986/812 is 2/197316.
To find the highest common factor of 9230,5986, we have to find the factors of both numbers and list the highest common factor.
The factors of 9230 are 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230
The factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986
The HCF of 9230,5986 is 2.
Lets's calculate GCF of 9230,5986
| 2 | 9230, 5986 |
| 4615, 2993 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9230,5986 By Matching Biggest Common Factor Method
Now, list down the factors of 9230
:1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230
Now, list down the factors of 5986
:1,2,41,73,82,146,2993,5986
Greatest Common Factor
We found the factors 9230,5986 . The biggest common factor number is the GCF number.
So the greatest common factor 9230,5986 is 2.
Lets's calculate LCM of 243,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 197316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197316
Therefore, the GCF of Fractions 9230/243,5986/812 is 2/197316
Least Common Multiple of 243,812 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 243,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,812) x common factors =1 x 1 = 1
LCM(243,812) = ( 243 × 812 ) / 1
LCM(243,812) = 197316 / 1
LCM(243,812) = 197316
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9230/243, 5986/812
1. What is the HCF of 9230,5986?
The HCF of 9230,5986 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 9230/243, 5986/812?
Answer: GCF of Numerators as per given numbers 9230/243, 5986/812 is
GCF of Numerators i.e. for 9230,5986 is 2
LCM of denominators i.e. for 243,812 is 197316.
Thus, GCF of Fractions is 2/197316.Finally, GCF of Fractions for 9230/243, 5986/812 is 2/197316.