GCF of 206/51, 489/535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 206/51, 489/535 i.e 1/27285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/51, 489/535.
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 206/51,489/535?
Given fractions are 206/51,489/535
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 206/51,489/535, numerators are 206,489
Denominators are 51,535
The GCF of 206,489 is 1 .
LCM of 51,535 is 27285.
The greatest common factor of 206/51,489/535 = [GCF of 206,489]/[LCM of 51,535]= 1/27285
Therefore, the GCF of 206/51,489/535 is 1/27285.
To find the highest common factor of 206,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 206 are 1, 2, 103, 206
The factors of 489 are 1, 3, 163, 489
The HCF of 206,489 is 1.
Lets's calculate GCF of 206,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 206,489 By Matching Biggest Common Factor Method
Now, list down the factors of 206
:1,2,103,206
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 206,489 . The biggest common factor number is the GCF number.
So the greatest common factor 206,489 is 1.
Lets's calculate LCM of 51,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 27285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27285
Therefore, the GCF of Fractions 206/51,489/535 is 1/27285
Least Common Multiple of 51,535 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 51,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,535) x common factors =1 x 1 = 1
LCM(51,535) = ( 51 × 535 ) / 1
LCM(51,535) = 27285 / 1
LCM(51,535) = 27285
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 206/51, 489/535
1. What is the HCF of 206,489?
The HCF of 206,489 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 206/51, 489/535?
Answer: GCF of Numerators as per given numbers 206/51, 489/535 is
GCF of Numerators i.e. for 206,489 is 1
LCM of denominators i.e. for 51,535 is 27285.
Thus, GCF of Fractions is 1/27285.Finally, GCF of Fractions for 206/51, 489/535 is 1/27285.