GCF of 11/480, 9489/6019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/480, 9489/6019 i.e 1/2889120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/480, 9489/6019.
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 11/480,9489/6019?
Given fractions are 11/480,9489/6019
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 11/480,9489/6019, numerators are 11,9489
Denominators are 480,6019
The GCF of 11,9489 is 1 .
LCM of 480,6019 is 2889120.
The greatest common factor of 11/480,9489/6019 = [GCF of 11,9489]/[LCM of 480,6019]= 1/2889120
Therefore, the GCF of 11/480,9489/6019 is 1/2889120.
To find the highest common factor of 11,9489, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 9489 are 1, 3, 3163, 9489
The HCF of 11,9489 is 1.
Lets's calculate GCF of 11,9489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,9489 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 9489
:1,3,3163,9489
Greatest Common Factor
We found the factors 11,9489 . The biggest common factor number is the GCF number.
So the greatest common factor 11,9489 is 1.
Lets's calculate LCM of 480,6019
Given numbers has no common factors except 1. So, there LCM is their product i.e 2889120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2889120
Therefore, the GCF of Fractions 11/480,9489/6019 is 1/2889120
Least Common Multiple of 480,6019 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 480,6019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,6019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(480,6019) x common factors =1 x 1 = 1
LCM(480,6019) = ( 480 × 6019 ) / 1
LCM(480,6019) = 2889120 / 1
LCM(480,6019) = 2889120
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FAQs on GCF of Fractions of 11/480, 9489/6019
1. What is the HCF of 11,9489?
The HCF of 11,9489 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 11/480, 9489/6019?
Answer: GCF of Numerators as per given numbers 11/480, 9489/6019 is
GCF of Numerators i.e. for 11,9489 is 1
LCM of denominators i.e. for 480,6019 is 2889120.
Thus, GCF of Fractions is 1/2889120.Finally, GCF of Fractions for 11/480, 9489/6019 is 1/2889120.