GCF of 487/19, 509/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 487/19, 509/547 i.e 1/10393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/19, 509/547.
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 487/19,509/547?
Given fractions are 487/19,509/547
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 487/19,509/547, numerators are 487,509
Denominators are 19,547
The GCF of 487,509 is 1 .
LCM of 19,547 is 10393.
The greatest common factor of 487/19,509/547 = [GCF of 487,509]/[LCM of 19,547]= 1/10393
Therefore, the GCF of 487/19,509/547 is 1/10393.
To find the highest common factor of 487,509, we have to find the factors of both numbers and list the highest common factor.
The factors of 487 are 1, 487
The factors of 509 are 1, 509
The HCF of 487,509 is 1.
Lets's calculate GCF of 487,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 487,509 By Matching Biggest Common Factor Method
Now, list down the factors of 487
:1,487
Now, list down the factors of 509
:1,509
Greatest Common Factor
We found the factors 487,509 . The biggest common factor number is the GCF number.
So the greatest common factor 487,509 is 1.
Lets's calculate LCM of 19,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 10393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10393
Therefore, the GCF of Fractions 487/19,509/547 is 1/10393
Least Common Multiple of 19,547 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 19,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,547) x common factors =1 x 1 = 1
LCM(19,547) = ( 19 × 547 ) / 1
LCM(19,547) = 10393 / 1
LCM(19,547) = 10393
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 487/19, 509/547
1. What is the HCF of 487,509?
The HCF of 487,509 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 487/19, 509/547?
Answer: GCF of Numerators as per given numbers 487/19, 509/547 is
GCF of Numerators i.e. for 487,509 is 1
LCM of denominators i.e. for 19,547 is 10393.
Thus, GCF of Fractions is 1/10393.Finally, GCF of Fractions for 487/19, 509/547 is 1/10393.