GCF of 5183/800, 3742/6266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5183/800, 3742/6266 i.e 1/2506400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5183/800, 3742/6266.
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 5183/800,3742/6266?
Given fractions are 5183/800,3742/6266
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 5183/800,3742/6266, numerators are 5183,3742
Denominators are 800,6266
The GCF of 5183,3742 is 1 .
LCM of 800,6266 is 2506400.
The greatest common factor of 5183/800,3742/6266 = [GCF of 5183,3742]/[LCM of 800,6266]= 1/2506400
Therefore, the GCF of 5183/800,3742/6266 is 1/2506400.
To find the highest common factor of 5183,3742, we have to find the factors of both numbers and list the highest common factor.
The factors of 5183 are 1, 71, 73, 5183
The factors of 3742 are 1, 2, 1871, 3742
The HCF of 5183,3742 is 1.
Lets's calculate GCF of 5183,3742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5183,3742 By Matching Biggest Common Factor Method
Now, list down the factors of 5183
:1,71,73,5183
Now, list down the factors of 3742
:1,2,1871,3742
Greatest Common Factor
We found the factors 5183,3742 . The biggest common factor number is the GCF number.
So the greatest common factor 5183,3742 is 1.
Lets's calculate LCM of 800,6266
| 2 | 800, 6266 |
| 400, 3133 |
∴ So the LCM of the given numbers is 2 x 400 x 3133 = 2506400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2506400
Therefore, the GCF of Fractions 5183/800,3742/6266 is 1/2506400
Least Common Multiple of 800,6266 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 800,6266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,6266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(800,6266) x common factors =2 x 1 = 2
LCM(800,6266) = ( 800 × 6266 ) / 2
LCM(800,6266) = 5012800 / 2
LCM(800,6266) = 2506400
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FAQs on GCF of Fractions of 5183/800, 3742/6266
1. What is the HCF of 5183,3742?
The HCF of 5183,3742 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 5183/800, 3742/6266?
Answer: GCF of Numerators as per given numbers 5183/800, 3742/6266 is
GCF of Numerators i.e. for 5183,3742 is 1
LCM of denominators i.e. for 800,6266 is 2506400.
Thus, GCF of Fractions is 1/2506400.Finally, GCF of Fractions for 5183/800, 3742/6266 is 1/2506400.