Use our free GCF of Fractions Calculator tool to compute the GCF of 565/901, 839/269 i.e 1/242369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/901, 839/269.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 565/901,839/269
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 565/901,839/269, numerators are 565,839
Denominators are 901,269
The GCF of 565,839 is 1 .
LCM of 901,269 is 242369.
The greatest common factor of 565/901,839/269 = [GCF of 565,839]/[LCM of 901,269]= 1/242369
Therefore, the GCF of 565/901,839/269 is 1/242369.
To find the highest common factor of 565,839, we have to find the factors of both numbers and list the highest common factor.
The factors of 565 are 1, 5, 113, 565
The factors of 839 are 1, 839
The HCF of 565,839 is 1.
Lets's calculate GCF of 565,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 565
:1,5,113,565
Now, list down the factors of 839
:1,839
Greatest Common Factor
We found the factors 565,839 . The biggest common factor number is the GCF number.
So the greatest common factor 565,839 is 1.
Lets's calculate LCM of 901,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 242369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242369
Therefore, the GCF of Fractions 565/901,839/269 is 1/242369
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 901,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,269) x common factors =1 x 1 = 1
LCM(901,269) = ( 901 × 269 ) / 1
LCM(901,269) = 242369 / 1
LCM(901,269) = 242369
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 565,839?
The HCF of 565,839 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 565/901, 839/269?
Answer: GCF of Numerators as per given numbers 565/901, 839/269 is
GCF of Numerators i.e. for 565,839 is 1
LCM of denominators i.e. for 901,269 is 242369.
Thus, GCF of Fractions is 1/242369.Finally, GCF of Fractions for 565/901, 839/269 is 1/242369.