GCF of 5834/997, 9184/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5834/997, 9184/200 i.e 2/199400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5834/997, 9184/200.
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 5834/997,9184/200?
Given fractions are 5834/997,9184/200
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 5834/997,9184/200, numerators are 5834,9184
Denominators are 997,200
The GCF of 5834,9184 is 2 .
LCM of 997,200 is 199400.
The greatest common factor of 5834/997,9184/200 = [GCF of 5834,9184]/[LCM of 997,200]= 2/199400
Therefore, the GCF of 5834/997,9184/200 is 2/199400.
To find the highest common factor of 5834,9184, we have to find the factors of both numbers and list the highest common factor.
The factors of 5834 are 1, 2, 2917, 5834
The factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184
The HCF of 5834,9184 is 2.
Lets's calculate GCF of 5834,9184
| 2 | 5834, 9184 |
| 2917, 4592 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5834,9184 By Matching Biggest Common Factor Method
Now, list down the factors of 5834
:1,2,2917,5834
Now, list down the factors of 9184
:1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184
Greatest Common Factor
We found the factors 5834,9184 . The biggest common factor number is the GCF number.
So the greatest common factor 5834,9184 is 2.
Lets's calculate LCM of 997,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 199400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199400
Therefore, the GCF of Fractions 5834/997,9184/200 is 2/199400
Least Common Multiple of 997,200 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 997,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,200) x common factors =1 x 1 = 1
LCM(997,200) = ( 997 × 200 ) / 1
LCM(997,200) = 199400 / 1
LCM(997,200) = 199400
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FAQs on GCF of Fractions of 5834/997, 9184/200
1. What is the HCF of 5834,9184?
The HCF of 5834,9184 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 5834/997, 9184/200?
Answer: GCF of Numerators as per given numbers 5834/997, 9184/200 is
GCF of Numerators i.e. for 5834,9184 is 2
LCM of denominators i.e. for 997,200 is 199400.
Thus, GCF of Fractions is 2/199400.Finally, GCF of Fractions for 5834/997, 9184/200 is 2/199400.