Use our free GCF of Fractions Calculator tool to compute the GCF of 449/670, 760/811 i.e 1/543370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/670, 760/811.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 449/670,760/811
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 449/670,760/811, numerators are 449,760
Denominators are 670,811
The GCF of 449,760 is 1 .
LCM of 670,811 is 543370.
The greatest common factor of 449/670,760/811 = [GCF of 449,760]/[LCM of 670,811]= 1/543370
Therefore, the GCF of 449/670,760/811 is 1/543370.
To find the highest common factor of 449,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 449 are 1, 449
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 449,760 is 1.
Lets's calculate GCF of 449,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 449
:1,449
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 449,760 . The biggest common factor number is the GCF number.
So the greatest common factor 449,760 is 1.
Lets's calculate LCM of 670,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 543370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543370
Therefore, the GCF of Fractions 449/670,760/811 is 1/543370
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 670,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,811) x common factors =1 x 1 = 1
LCM(670,811) = ( 670 × 811 ) / 1
LCM(670,811) = 543370 / 1
LCM(670,811) = 543370
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 449,760?
The HCF of 449,760 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 449/670, 760/811?
Answer: GCF of Numerators as per given numbers 449/670, 760/811 is
GCF of Numerators i.e. for 449,760 is 1
LCM of denominators i.e. for 670,811 is 543370.
Thus, GCF of Fractions is 1/543370.Finally, GCF of Fractions for 449/670, 760/811 is 1/543370.