GCF of 8841/164, 4721/2306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8841/164, 4721/2306 i.e 1/189092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8841/164, 4721/2306.
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 8841/164,4721/2306?
Given fractions are 8841/164,4721/2306
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 8841/164,4721/2306, numerators are 8841,4721
Denominators are 164,2306
The GCF of 8841,4721 is 1 .
LCM of 164,2306 is 189092.
The greatest common factor of 8841/164,4721/2306 = [GCF of 8841,4721]/[LCM of 164,2306]= 1/189092
Therefore, the GCF of 8841/164,4721/2306 is 1/189092.
To find the highest common factor of 8841,4721, we have to find the factors of both numbers and list the highest common factor.
The factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841
The factors of 4721 are 1, 4721
The HCF of 8841,4721 is 1.
Lets's calculate GCF of 8841,4721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8841,4721 By Matching Biggest Common Factor Method
Now, list down the factors of 8841
:1,3,7,21,421,1263,2947,8841
Now, list down the factors of 4721
:1,4721
Greatest Common Factor
We found the factors 8841,4721 . The biggest common factor number is the GCF number.
So the greatest common factor 8841,4721 is 1.
Lets's calculate LCM of 164,2306
| 2 | 164, 2306 |
| 82, 1153 |
∴ So the LCM of the given numbers is 2 x 82 x 1153 = 189092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189092
Therefore, the GCF of Fractions 8841/164,4721/2306 is 1/189092
Least Common Multiple of 164,2306 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 164,2306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,2306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,2306) x common factors =2 x 1 = 2
LCM(164,2306) = ( 164 × 2306 ) / 2
LCM(164,2306) = 378184 / 2
LCM(164,2306) = 189092
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FAQs on GCF of Fractions of 8841/164, 4721/2306
1. What is the HCF of 8841,4721?
The HCF of 8841,4721 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 8841/164, 4721/2306?
Answer: GCF of Numerators as per given numbers 8841/164, 4721/2306 is
GCF of Numerators i.e. for 8841,4721 is 1
LCM of denominators i.e. for 164,2306 is 189092.
Thus, GCF of Fractions is 1/189092.Finally, GCF of Fractions for 8841/164, 4721/2306 is 1/189092.