GCF of 4161/882, 2321/743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4161/882, 2321/743 i.e 1/655326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4161/882, 2321/743.
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 4161/882,2321/743?
Given fractions are 4161/882,2321/743
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 4161/882,2321/743, numerators are 4161,2321
Denominators are 882,743
The GCF of 4161,2321 is 1 .
LCM of 882,743 is 655326.
The greatest common factor of 4161/882,2321/743 = [GCF of 4161,2321]/[LCM of 882,743]= 1/655326
Therefore, the GCF of 4161/882,2321/743 is 1/655326.
To find the highest common factor of 4161,2321, we have to find the factors of both numbers and list the highest common factor.
The factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161
The factors of 2321 are 1, 11, 211, 2321
The HCF of 4161,2321 is 1.
Lets's calculate GCF of 4161,2321
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4161,2321 By Matching Biggest Common Factor Method
Now, list down the factors of 4161
:1,3,19,57,73,219,1387,4161
Now, list down the factors of 2321
:1,11,211,2321
Greatest Common Factor
We found the factors 4161,2321 . The biggest common factor number is the GCF number.
So the greatest common factor 4161,2321 is 1.
Lets's calculate LCM of 882,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 655326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/655326
Therefore, the GCF of Fractions 4161/882,2321/743 is 1/655326
Least Common Multiple of 882,743 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 882,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,743) x common factors =1 x 1 = 1
LCM(882,743) = ( 882 × 743 ) / 1
LCM(882,743) = 655326 / 1
LCM(882,743) = 655326
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FAQs on GCF of Fractions of 4161/882, 2321/743
1. What is the HCF of 4161,2321?
The HCF of 4161,2321 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 4161/882, 2321/743?
Answer: GCF of Numerators as per given numbers 4161/882, 2321/743 is
GCF of Numerators i.e. for 4161,2321 is 1
LCM of denominators i.e. for 882,743 is 655326.
Thus, GCF of Fractions is 1/655326.Finally, GCF of Fractions for 4161/882, 2321/743 is 1/655326.