GCF of 5833/428, 8251/4652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5833/428, 8251/4652 i.e 1/497764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5833/428, 8251/4652.
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 5833/428,8251/4652?
Given fractions are 5833/428,8251/4652
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 5833/428,8251/4652, numerators are 5833,8251
Denominators are 428,4652
The GCF of 5833,8251 is 1 .
LCM of 428,4652 is 497764.
The greatest common factor of 5833/428,8251/4652 = [GCF of 5833,8251]/[LCM of 428,4652]= 1/497764
Therefore, the GCF of 5833/428,8251/4652 is 1/497764.
To find the highest common factor of 5833,8251, we have to find the factors of both numbers and list the highest common factor.
The factors of 5833 are 1, 19, 307, 5833
The factors of 8251 are 1, 37, 223, 8251
The HCF of 5833,8251 is 1.
Lets's calculate GCF of 5833,8251
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5833,8251 By Matching Biggest Common Factor Method
Now, list down the factors of 5833
:1,19,307,5833
Now, list down the factors of 8251
:1,37,223,8251
Greatest Common Factor
We found the factors 5833,8251 . The biggest common factor number is the GCF number.
So the greatest common factor 5833,8251 is 1.
Lets's calculate LCM of 428,4652
| 2 | 428, 4652 |
| 2 | 214, 2326 |
| 107, 1163 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 1163 = 497764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497764
Therefore, the GCF of Fractions 5833/428,8251/4652 is 1/497764
Least Common Multiple of 428,4652 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 428,4652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,4652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,4652) x common factors =4 x 1 = 4
LCM(428,4652) = ( 428 × 4652 ) / 4
LCM(428,4652) = 1991056 / 4
LCM(428,4652) = 497764
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FAQs on GCF of Fractions of 5833/428, 8251/4652
1. What is the HCF of 5833,8251?
The HCF of 5833,8251 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 5833/428, 8251/4652?
Answer: GCF of Numerators as per given numbers 5833/428, 8251/4652 is
GCF of Numerators i.e. for 5833,8251 is 1
LCM of denominators i.e. for 428,4652 is 497764.
Thus, GCF of Fractions is 1/497764.Finally, GCF of Fractions for 5833/428, 8251/4652 is 1/497764.