GCF of 5067/936, 9483/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5067/936, 9483/241 i.e 3/225576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5067/936, 9483/241.
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 5067/936,9483/241?
Given fractions are 5067/936,9483/241
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 5067/936,9483/241, numerators are 5067,9483
Denominators are 936,241
The GCF of 5067,9483 is 3 .
LCM of 936,241 is 225576.
The greatest common factor of 5067/936,9483/241 = [GCF of 5067,9483]/[LCM of 936,241]= 3/225576
Therefore, the GCF of 5067/936,9483/241 is 3/225576.
To find the highest common factor of 5067,9483, we have to find the factors of both numbers and list the highest common factor.
The factors of 5067 are 1, 3, 9, 563, 1689, 5067
The factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483
The HCF of 5067,9483 is 3.
Lets's calculate GCF of 5067,9483
| 3 | 5067, 9483 |
| 1689, 3161 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5067,9483 By Matching Biggest Common Factor Method
Now, list down the factors of 5067
:1,3,9,563,1689,5067
Now, list down the factors of 9483
:1,3,29,87,109,327,3161,9483
Greatest Common Factor
We found the factors 5067,9483 . The biggest common factor number is the GCF number.
So the greatest common factor 5067,9483 is 3.
Lets's calculate LCM of 936,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 225576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/225576
Therefore, the GCF of Fractions 5067/936,9483/241 is 3/225576
Least Common Multiple of 936,241 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 936,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(936,241) x common factors =1 x 1 = 1
LCM(936,241) = ( 936 × 241 ) / 1
LCM(936,241) = 225576 / 1
LCM(936,241) = 225576
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FAQs on GCF of Fractions of 5067/936, 9483/241
1. What is the HCF of 5067,9483?
The HCF of 5067,9483 is 3
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 5067/936, 9483/241?
Answer: GCF of Numerators as per given numbers 5067/936, 9483/241 is
GCF of Numerators i.e. for 5067,9483 is 3
LCM of denominators i.e. for 936,241 is 225576.
Thus, GCF of Fractions is 3/225576.Finally, GCF of Fractions for 5067/936, 9483/241 is 3/225576.