GCF of 2336/469, 8909/146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2336/469, 8909/146 i.e 1/68474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2336/469, 8909/146.
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 2336/469,8909/146?
Given fractions are 2336/469,8909/146
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 2336/469,8909/146, numerators are 2336,8909
Denominators are 469,146
The GCF of 2336,8909 is 1 .
LCM of 469,146 is 68474.
The greatest common factor of 2336/469,8909/146 = [GCF of 2336,8909]/[LCM of 469,146]= 1/68474
Therefore, the GCF of 2336/469,8909/146 is 1/68474.
To find the highest common factor of 2336,8909, we have to find the factors of both numbers and list the highest common factor.
The factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336
The factors of 8909 are 1, 59, 151, 8909
The HCF of 2336,8909 is 1.
Lets's calculate GCF of 2336,8909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2336,8909 By Matching Biggest Common Factor Method
Now, list down the factors of 2336
:1,2,4,8,16,32,73,146,292,584,1168,2336
Now, list down the factors of 8909
:1,59,151,8909
Greatest Common Factor
We found the factors 2336,8909 . The biggest common factor number is the GCF number.
So the greatest common factor 2336,8909 is 1.
Lets's calculate LCM of 469,146
Given numbers has no common factors except 1. So, there LCM is their product i.e 68474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68474
Therefore, the GCF of Fractions 2336/469,8909/146 is 1/68474
Least Common Multiple of 469,146 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 469,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,146) x common factors =1 x 1 = 1
LCM(469,146) = ( 469 × 146 ) / 1
LCM(469,146) = 68474 / 1
LCM(469,146) = 68474
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2336/469, 8909/146
1. What is the HCF of 2336,8909?
The HCF of 2336,8909 is 1
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 2336/469, 8909/146?
Answer: GCF of Numerators as per given numbers 2336/469, 8909/146 is
GCF of Numerators i.e. for 2336,8909 is 1
LCM of denominators i.e. for 469,146 is 68474.
Thus, GCF of Fractions is 1/68474.Finally, GCF of Fractions for 2336/469, 8909/146 is 1/68474.