GCF of 8829/871, 4833/5792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8829/871, 4833/5792 i.e 27/5044832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8829/871, 4833/5792.
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 8829/871,4833/5792?
Given fractions are 8829/871,4833/5792
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 8829/871,4833/5792, numerators are 8829,4833
Denominators are 871,5792
The GCF of 8829,4833 is 27 .
LCM of 871,5792 is 5044832.
The greatest common factor of 8829/871,4833/5792 = [GCF of 8829,4833]/[LCM of 871,5792]= 27/5044832
Therefore, the GCF of 8829/871,4833/5792 is 27/5044832.
To find the highest common factor of 8829,4833, we have to find the factors of both numbers and list the highest common factor.
The factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829
The factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833
The HCF of 8829,4833 is 27.
Lets's calculate GCF of 8829,4833
| 3 | 8829, 4833 |
| 3 | 2943, 1611 |
| 3 | 981, 537 |
| 327, 179 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 8829,4833 By Matching Biggest Common Factor Method
Now, list down the factors of 8829
:1,3,9,27,81,109,327,981,2943,8829
Now, list down the factors of 4833
:1,3,9,27,179,537,1611,4833
Greatest Common Factor
We found the factors 8829,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 8829,4833 is 27.
Lets's calculate LCM of 871,5792
Given numbers has no common factors except 1. So, there LCM is their product i.e 5044832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/5044832
Therefore, the GCF of Fractions 8829/871,4833/5792 is 27/5044832
Least Common Multiple of 871,5792 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 871,5792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,5792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,5792) x common factors =1 x 1 = 1
LCM(871,5792) = ( 871 × 5792 ) / 1
LCM(871,5792) = 5044832 / 1
LCM(871,5792) = 5044832
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FAQs on GCF of Fractions of 8829/871, 4833/5792
1. What is the HCF of 8829,4833?
The HCF of 8829,4833 is 27
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 8829/871, 4833/5792?
Answer: GCF of Numerators as per given numbers 8829/871, 4833/5792 is
GCF of Numerators i.e. for 8829,4833 is 27
LCM of denominators i.e. for 871,5792 is 5044832.
Thus, GCF of Fractions is 27/5044832.Finally, GCF of Fractions for 8829/871, 4833/5792 is 27/5044832.