Use our free GCF of Fractions Calculator tool to compute the GCF of 263/809, 745/430 i.e 1/347870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/809, 745/430.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 263/809,745/430
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 263/809,745/430, numerators are 263,745
Denominators are 809,430
The GCF of 263,745 is 1 .
LCM of 809,430 is 347870.
The greatest common factor of 263/809,745/430 = [GCF of 263,745]/[LCM of 809,430]= 1/347870
Therefore, the GCF of 263/809,745/430 is 1/347870.
To find the highest common factor of 263,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 263 are 1, 263
The factors of 745 are 1, 5, 149, 745
The HCF of 263,745 is 1.
Lets's calculate GCF of 263,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 263
:1,263
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 263,745 . The biggest common factor number is the GCF number.
So the greatest common factor 263,745 is 1.
Lets's calculate LCM of 809,430
Given numbers has no common factors except 1. So, there LCM is their product i.e 347870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347870
Therefore, the GCF of Fractions 263/809,745/430 is 1/347870
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 809,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,430) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,430) x common factors =1 x 1 = 1
LCM(809,430) = ( 809 × 430 ) / 1
LCM(809,430) = 347870 / 1
LCM(809,430) = 347870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 263,745?
The HCF of 263,745 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 263/809, 745/430?
Answer: GCF of Numerators as per given numbers 263/809, 745/430 is
GCF of Numerators i.e. for 263,745 is 1
LCM of denominators i.e. for 809,430 is 347870.
Thus, GCF of Fractions is 1/347870.Finally, GCF of Fractions for 263/809, 745/430 is 1/347870.