Use our free GCF of Fractions Calculator tool to compute the GCF of 563/867, 412/574 i.e 1/497658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 563/867, 412/574.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 563/867,412/574
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 563/867,412/574, numerators are 563,412
Denominators are 867,574
The GCF of 563,412 is 1 .
LCM of 867,574 is 497658.
The greatest common factor of 563/867,412/574 = [GCF of 563,412]/[LCM of 867,574]= 1/497658
Therefore, the GCF of 563/867,412/574 is 1/497658.
To find the highest common factor of 563,412, we have to find the factors of both numbers and list the highest common factor.
The factors of 563 are 1, 563
The factors of 412 are 1, 2, 4, 103, 206, 412
The HCF of 563,412 is 1.
Lets's calculate GCF of 563,412
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 563
:1,563
Now, list down the factors of 412
:1,2,4,103,206,412
Greatest Common Factor
We found the factors 563,412 . The biggest common factor number is the GCF number.
So the greatest common factor 563,412 is 1.
Lets's calculate LCM of 867,574
Given numbers has no common factors except 1. So, there LCM is their product i.e 497658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497658
Therefore, the GCF of Fractions 563/867,412/574 is 1/497658
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 867,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,574) x common factors =1 x 1 = 1
LCM(867,574) = ( 867 × 574 ) / 1
LCM(867,574) = 497658 / 1
LCM(867,574) = 497658
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 563,412?
The HCF of 563,412 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 563/867, 412/574?
Answer: GCF of Numerators as per given numbers 563/867, 412/574 is
GCF of Numerators i.e. for 563,412 is 1
LCM of denominators i.e. for 867,574 is 497658.
Thus, GCF of Fractions is 1/497658.Finally, GCF of Fractions for 563/867, 412/574 is 1/497658.