GCF of 8411/44, 8851/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8411/44, 8851/231 i.e 1/924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8411/44, 8851/231.
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 8411/44,8851/231?
Given fractions are 8411/44,8851/231
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 8411/44,8851/231, numerators are 8411,8851
Denominators are 44,231
The GCF of 8411,8851 is 1 .
LCM of 44,231 is 924.
The greatest common factor of 8411/44,8851/231 = [GCF of 8411,8851]/[LCM of 44,231]= 1/924
Therefore, the GCF of 8411/44,8851/231 is 1/924.
To find the highest common factor of 8411,8851, we have to find the factors of both numbers and list the highest common factor.
The factors of 8411 are 1, 13, 647, 8411
The factors of 8851 are 1, 53, 167, 8851
The HCF of 8411,8851 is 1.
Lets's calculate GCF of 8411,8851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8411,8851 By Matching Biggest Common Factor Method
Now, list down the factors of 8411
:1,13,647,8411
Now, list down the factors of 8851
:1,53,167,8851
Greatest Common Factor
We found the factors 8411,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 8411,8851 is 1.
Lets's calculate LCM of 44,231
| 11 | 44, 231 |
| 4, 21 |
∴ So the LCM of the given numbers is 11 x 4 x 21 = 924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924
Therefore, the GCF of Fractions 8411/44,8851/231 is 1/924
Least Common Multiple of 44,231 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 44,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,231) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(44,231) x common factors =11 x 1 = 11
LCM(44,231) = ( 44 × 231 ) / 11
LCM(44,231) = 10164 / 11
LCM(44,231) = 924
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FAQs on GCF of Fractions of 8411/44, 8851/231
1. What is the HCF of 8411,8851?
The HCF of 8411,8851 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 8411/44, 8851/231?
Answer: GCF of Numerators as per given numbers 8411/44, 8851/231 is
GCF of Numerators i.e. for 8411,8851 is 1
LCM of denominators i.e. for 44,231 is 924.
Thus, GCF of Fractions is 1/924.Finally, GCF of Fractions for 8411/44, 8851/231 is 1/924.