GCF of 5798/909, 8850/7839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5798/909, 8850/7839 i.e 2/791739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5798/909, 8850/7839.
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 5798/909,8850/7839?
Given fractions are 5798/909,8850/7839
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 5798/909,8850/7839, numerators are 5798,8850
Denominators are 909,7839
The GCF of 5798,8850 is 2 .
LCM of 909,7839 is 791739.
The greatest common factor of 5798/909,8850/7839 = [GCF of 5798,8850]/[LCM of 909,7839]= 2/791739
Therefore, the GCF of 5798/909,8850/7839 is 2/791739.
To find the highest common factor of 5798,8850, we have to find the factors of both numbers and list the highest common factor.
The factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798
The factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
The HCF of 5798,8850 is 2.
Lets's calculate GCF of 5798,8850
| 2 | 5798, 8850 |
| 2899, 4425 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5798,8850 By Matching Biggest Common Factor Method
Now, list down the factors of 5798
:1,2,13,26,223,446,2899,5798
Now, list down the factors of 8850
:1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
Greatest Common Factor
We found the factors 5798,8850 . The biggest common factor number is the GCF number.
So the greatest common factor 5798,8850 is 2.
Lets's calculate LCM of 909,7839
| 3 | 909, 7839 |
| 3 | 303, 2613 |
| 101, 871 |
∴ So the LCM of the given numbers is 3 x 3 x 101 x 871 = 791739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/791739
Therefore, the GCF of Fractions 5798/909,8850/7839 is 2/791739
Least Common Multiple of 909,7839 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 909,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,7839) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(909,7839) x common factors =9 x 1 = 9
LCM(909,7839) = ( 909 × 7839 ) / 9
LCM(909,7839) = 7125651 / 9
LCM(909,7839) = 791739
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FAQs on GCF of Fractions of 5798/909, 8850/7839
1. What is the HCF of 5798,8850?
The HCF of 5798,8850 is 2
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 5798/909, 8850/7839?
Answer: GCF of Numerators as per given numbers 5798/909, 8850/7839 is
GCF of Numerators i.e. for 5798,8850 is 2
LCM of denominators i.e. for 909,7839 is 791739.
Thus, GCF of Fractions is 2/791739.Finally, GCF of Fractions for 5798/909, 8850/7839 is 2/791739.