Use our free GCF of Fractions Calculator tool to compute the GCF of 853/890, 665/539 i.e 1/479710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/890, 665/539.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 853/890,665/539
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 853/890,665/539, numerators are 853,665
Denominators are 890,539
The GCF of 853,665 is 1 .
LCM of 890,539 is 479710.
The greatest common factor of 853/890,665/539 = [GCF of 853,665]/[LCM of 890,539]= 1/479710
Therefore, the GCF of 853/890,665/539 is 1/479710.
To find the highest common factor of 853,665, we have to find the factors of both numbers and list the highest common factor.
The factors of 853 are 1, 853
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The HCF of 853,665 is 1.
Lets's calculate GCF of 853,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 853
:1,853
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 853,665 . The biggest common factor number is the GCF number.
So the greatest common factor 853,665 is 1.
Lets's calculate LCM of 890,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 479710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/479710
Therefore, the GCF of Fractions 853/890,665/539 is 1/479710
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 890,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(890,539) x common factors =1 x 1 = 1
LCM(890,539) = ( 890 × 539 ) / 1
LCM(890,539) = 479710 / 1
LCM(890,539) = 479710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 853,665?
The HCF of 853,665 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 853/890, 665/539?
Answer: GCF of Numerators as per given numbers 853/890, 665/539 is
GCF of Numerators i.e. for 853,665 is 1
LCM of denominators i.e. for 890,539 is 479710.
Thus, GCF of Fractions is 1/479710.Finally, GCF of Fractions for 853/890, 665/539 is 1/479710.