GCF of 3853/705, 9489/303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3853/705, 9489/303 i.e 1/71205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3853/705, 9489/303.
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 3853/705,9489/303?
Given fractions are 3853/705,9489/303
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 3853/705,9489/303, numerators are 3853,9489
Denominators are 705,303
The GCF of 3853,9489 is 1 .
LCM of 705,303 is 71205.
The greatest common factor of 3853/705,9489/303 = [GCF of 3853,9489]/[LCM of 705,303]= 1/71205
Therefore, the GCF of 3853/705,9489/303 is 1/71205.
To find the highest common factor of 3853,9489, we have to find the factors of both numbers and list the highest common factor.
The factors of 3853 are 1, 3853
The factors of 9489 are 1, 3, 3163, 9489
The HCF of 3853,9489 is 1.
Lets's calculate GCF of 3853,9489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3853,9489 By Matching Biggest Common Factor Method
Now, list down the factors of 3853
:1,3853
Now, list down the factors of 9489
:1,3,3163,9489
Greatest Common Factor
We found the factors 3853,9489 . The biggest common factor number is the GCF number.
So the greatest common factor 3853,9489 is 1.
Lets's calculate LCM of 705,303
| 3 | 705, 303 |
| 235, 101 |
∴ So the LCM of the given numbers is 3 x 235 x 101 = 71205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71205
Therefore, the GCF of Fractions 3853/705,9489/303 is 1/71205
Least Common Multiple of 705,303 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 705,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,303) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,303) x common factors =3 x 1 = 3
LCM(705,303) = ( 705 × 303 ) / 3
LCM(705,303) = 213615 / 3
LCM(705,303) = 71205
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FAQs on GCF of Fractions of 3853/705, 9489/303
1. What is the HCF of 3853,9489?
The HCF of 3853,9489 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 3853/705, 9489/303?
Answer: GCF of Numerators as per given numbers 3853/705, 9489/303 is
GCF of Numerators i.e. for 3853,9489 is 1
LCM of denominators i.e. for 705,303 is 71205.
Thus, GCF of Fractions is 1/71205.Finally, GCF of Fractions for 3853/705, 9489/303 is 1/71205.