GCF of 9006/228, 3147/4751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9006/228, 3147/4751 i.e 3/1083228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9006/228, 3147/4751.
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 9006/228,3147/4751?
Given fractions are 9006/228,3147/4751
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 9006/228,3147/4751, numerators are 9006,3147
Denominators are 228,4751
The GCF of 9006,3147 is 3 .
LCM of 228,4751 is 1083228.
The greatest common factor of 9006/228,3147/4751 = [GCF of 9006,3147]/[LCM of 228,4751]= 3/1083228
Therefore, the GCF of 9006/228,3147/4751 is 3/1083228.
To find the highest common factor of 9006,3147, we have to find the factors of both numbers and list the highest common factor.
The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006
The factors of 3147 are 1, 3, 1049, 3147
The HCF of 9006,3147 is 3.
Lets's calculate GCF of 9006,3147
| 3 | 9006, 3147 |
| 3002, 1049 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9006,3147 By Matching Biggest Common Factor Method
Now, list down the factors of 9006
:1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006
Now, list down the factors of 3147
:1,3,1049,3147
Greatest Common Factor
We found the factors 9006,3147 . The biggest common factor number is the GCF number.
So the greatest common factor 9006,3147 is 3.
Lets's calculate LCM of 228,4751
Given numbers has no common factors except 1. So, there LCM is their product i.e 1083228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1083228
Therefore, the GCF of Fractions 9006/228,3147/4751 is 3/1083228
Least Common Multiple of 228,4751 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 228,4751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,4751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,4751) x common factors =1 x 1 = 1
LCM(228,4751) = ( 228 × 4751 ) / 1
LCM(228,4751) = 1083228 / 1
LCM(228,4751) = 1083228
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9006/228, 3147/4751
1. What is the HCF of 9006,3147?
The HCF of 9006,3147 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 9006/228, 3147/4751?
Answer: GCF of Numerators as per given numbers 9006/228, 3147/4751 is
GCF of Numerators i.e. for 9006,3147 is 3
LCM of denominators i.e. for 228,4751 is 1083228.
Thus, GCF of Fractions is 3/1083228.Finally, GCF of Fractions for 9006/228, 3147/4751 is 3/1083228.