Use our free GCF of Fractions Calculator tool to compute the GCF of 479/783, 473/814 i.e 1/637362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/783, 473/814.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 479/783,473/814
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 479/783,473/814, numerators are 479,473
Denominators are 783,814
The GCF of 479,473 is 1 .
LCM of 783,814 is 637362.
The greatest common factor of 479/783,473/814 = [GCF of 479,473]/[LCM of 783,814]= 1/637362
Therefore, the GCF of 479/783,473/814 is 1/637362.
To find the highest common factor of 479,473, we have to find the factors of both numbers and list the highest common factor.
The factors of 479 are 1, 479
The factors of 473 are 1, 11, 43, 473
The HCF of 479,473 is 1.
Lets's calculate GCF of 479,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 479
:1,479
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 479,473 . The biggest common factor number is the GCF number.
So the greatest common factor 479,473 is 1.
Lets's calculate LCM of 783,814
Given numbers has no common factors except 1. So, there LCM is their product i.e 637362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637362
Therefore, the GCF of Fractions 479/783,473/814 is 1/637362
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 783,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,814) x common factors =1 x 1 = 1
LCM(783,814) = ( 783 × 814 ) / 1
LCM(783,814) = 637362 / 1
LCM(783,814) = 637362
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 479,473?
The HCF of 479,473 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 479/783, 473/814?
Answer: GCF of Numerators as per given numbers 479/783, 473/814 is
GCF of Numerators i.e. for 479,473 is 1
LCM of denominators i.e. for 783,814 is 637362.
Thus, GCF of Fractions is 1/637362.Finally, GCF of Fractions for 479/783, 473/814 is 1/637362.