GCF of 2233/175, 6843/2511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2233/175, 6843/2511 i.e 1/439425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2233/175, 6843/2511.
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 2233/175,6843/2511?
Given fractions are 2233/175,6843/2511
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 2233/175,6843/2511, numerators are 2233,6843
Denominators are 175,2511
The GCF of 2233,6843 is 1 .
LCM of 175,2511 is 439425.
The greatest common factor of 2233/175,6843/2511 = [GCF of 2233,6843]/[LCM of 175,2511]= 1/439425
Therefore, the GCF of 2233/175,6843/2511 is 1/439425.
To find the highest common factor of 2233,6843, we have to find the factors of both numbers and list the highest common factor.
The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233
The factors of 6843 are 1, 3, 2281, 6843
The HCF of 2233,6843 is 1.
Lets's calculate GCF of 2233,6843
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2233,6843 By Matching Biggest Common Factor Method
Now, list down the factors of 2233
:1,7,11,29,77,203,319,2233
Now, list down the factors of 6843
:1,3,2281,6843
Greatest Common Factor
We found the factors 2233,6843 . The biggest common factor number is the GCF number.
So the greatest common factor 2233,6843 is 1.
Lets's calculate LCM of 175,2511
Given numbers has no common factors except 1. So, there LCM is their product i.e 439425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439425
Therefore, the GCF of Fractions 2233/175,6843/2511 is 1/439425
Least Common Multiple of 175,2511 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 175,2511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,2511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,2511) x common factors =1 x 1 = 1
LCM(175,2511) = ( 175 × 2511 ) / 1
LCM(175,2511) = 439425 / 1
LCM(175,2511) = 439425
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2233/175, 6843/2511
1. What is the HCF of 2233,6843?
The HCF of 2233,6843 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 2233/175, 6843/2511?
Answer: GCF of Numerators as per given numbers 2233/175, 6843/2511 is
GCF of Numerators i.e. for 2233,6843 is 1
LCM of denominators i.e. for 175,2511 is 439425.
Thus, GCF of Fractions is 1/439425.Finally, GCF of Fractions for 2233/175, 6843/2511 is 1/439425.