GCF of 5933/105, 5087/5391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5933/105, 5087/5391 i.e 1/188685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5933/105, 5087/5391.
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 5933/105,5087/5391?
Given fractions are 5933/105,5087/5391
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 5933/105,5087/5391, numerators are 5933,5087
Denominators are 105,5391
The GCF of 5933,5087 is 1 .
LCM of 105,5391 is 188685.
The greatest common factor of 5933/105,5087/5391 = [GCF of 5933,5087]/[LCM of 105,5391]= 1/188685
Therefore, the GCF of 5933/105,5087/5391 is 1/188685.
To find the highest common factor of 5933,5087, we have to find the factors of both numbers and list the highest common factor.
The factors of 5933 are 1, 17, 349, 5933
The factors of 5087 are 1, 5087
The HCF of 5933,5087 is 1.
Lets's calculate GCF of 5933,5087
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5933,5087 By Matching Biggest Common Factor Method
Now, list down the factors of 5933
:1,17,349,5933
Now, list down the factors of 5087
:1,5087
Greatest Common Factor
We found the factors 5933,5087 . The biggest common factor number is the GCF number.
So the greatest common factor 5933,5087 is 1.
Lets's calculate LCM of 105,5391
| 3 | 105, 5391 |
| 35, 1797 |
∴ So the LCM of the given numbers is 3 x 35 x 1797 = 188685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188685
Therefore, the GCF of Fractions 5933/105,5087/5391 is 1/188685
Least Common Multiple of 105,5391 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 105,5391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,5391) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,5391) x common factors =3 x 1 = 3
LCM(105,5391) = ( 105 × 5391 ) / 3
LCM(105,5391) = 566055 / 3
LCM(105,5391) = 188685
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FAQs on GCF of Fractions of 5933/105, 5087/5391
1. What is the HCF of 5933,5087?
The HCF of 5933,5087 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 5933/105, 5087/5391?
Answer: GCF of Numerators as per given numbers 5933/105, 5087/5391 is
GCF of Numerators i.e. for 5933,5087 is 1
LCM of denominators i.e. for 105,5391 is 188685.
Thus, GCF of Fractions is 1/188685.Finally, GCF of Fractions for 5933/105, 5087/5391 is 1/188685.