GCF of 5858/994, 5805/2114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5858/994, 5805/2114 i.e 1/150094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5858/994, 5805/2114.
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 5858/994,5805/2114?
Given fractions are 5858/994,5805/2114
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 5858/994,5805/2114, numerators are 5858,5805
Denominators are 994,2114
The GCF of 5858,5805 is 1 .
LCM of 994,2114 is 150094.
The greatest common factor of 5858/994,5805/2114 = [GCF of 5858,5805]/[LCM of 994,2114]= 1/150094
Therefore, the GCF of 5858/994,5805/2114 is 1/150094.
To find the highest common factor of 5858,5805, we have to find the factors of both numbers and list the highest common factor.
The factors of 5858 are 1, 2, 29, 58, 101, 202, 2929, 5858
The factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805
The HCF of 5858,5805 is 1.
Lets's calculate GCF of 5858,5805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5858,5805 By Matching Biggest Common Factor Method
Now, list down the factors of 5858
:1,2,29,58,101,202,2929,5858
Now, list down the factors of 5805
:1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Greatest Common Factor
We found the factors 5858,5805 . The biggest common factor number is the GCF number.
So the greatest common factor 5858,5805 is 1.
Lets's calculate LCM of 994,2114
| 2 | 994, 2114 |
| 7 | 497, 1057 |
| 71, 151 |
∴ So the LCM of the given numbers is 2 x 7 x 71 x 151 = 150094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150094
Therefore, the GCF of Fractions 5858/994,5805/2114 is 1/150094
Least Common Multiple of 994,2114 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 994,2114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,2114) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(994,2114) x common factors =14 x 1 = 14
LCM(994,2114) = ( 994 × 2114 ) / 14
LCM(994,2114) = 2101316 / 14
LCM(994,2114) = 150094
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FAQs on GCF of Fractions of 5858/994, 5805/2114
1. What is the HCF of 5858,5805?
The HCF of 5858,5805 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 5858/994, 5805/2114?
Answer: GCF of Numerators as per given numbers 5858/994, 5805/2114 is
GCF of Numerators i.e. for 5858,5805 is 1
LCM of denominators i.e. for 994,2114 is 150094.
Thus, GCF of Fractions is 1/150094.Finally, GCF of Fractions for 5858/994, 5805/2114 is 1/150094.