GCF of 4333/815, 8206/2298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4333/815, 8206/2298 i.e 1/1872870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4333/815, 8206/2298.
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 4333/815,8206/2298?
Given fractions are 4333/815,8206/2298
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 4333/815,8206/2298, numerators are 4333,8206
Denominators are 815,2298
The GCF of 4333,8206 is 1 .
LCM of 815,2298 is 1872870.
The greatest common factor of 4333/815,8206/2298 = [GCF of 4333,8206]/[LCM of 815,2298]= 1/1872870
Therefore, the GCF of 4333/815,8206/2298 is 1/1872870.
To find the highest common factor of 4333,8206, we have to find the factors of both numbers and list the highest common factor.
The factors of 4333 are 1, 7, 619, 4333
The factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206
The HCF of 4333,8206 is 1.
Lets's calculate GCF of 4333,8206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4333,8206 By Matching Biggest Common Factor Method
Now, list down the factors of 4333
:1,7,619,4333
Now, list down the factors of 8206
:1,2,11,22,373,746,4103,8206
Greatest Common Factor
We found the factors 4333,8206 . The biggest common factor number is the GCF number.
So the greatest common factor 4333,8206 is 1.
Lets's calculate LCM of 815,2298
Given numbers has no common factors except 1. So, there LCM is their product i.e 1872870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1872870
Therefore, the GCF of Fractions 4333/815,8206/2298 is 1/1872870
Least Common Multiple of 815,2298 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 815,2298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,2298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,2298) x common factors =1 x 1 = 1
LCM(815,2298) = ( 815 × 2298 ) / 1
LCM(815,2298) = 1872870 / 1
LCM(815,2298) = 1872870
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FAQs on GCF of Fractions of 4333/815, 8206/2298
1. What is the HCF of 4333,8206?
The HCF of 4333,8206 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 4333/815, 8206/2298?
Answer: GCF of Numerators as per given numbers 4333/815, 8206/2298 is
GCF of Numerators i.e. for 4333,8206 is 1
LCM of denominators i.e. for 815,2298 is 1872870.
Thus, GCF of Fractions is 1/1872870.Finally, GCF of Fractions for 4333/815, 8206/2298 is 1/1872870.