Use our free GCF of Fractions Calculator tool to compute the GCF of 559/143, 812/657 i.e 1/93951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 559/143, 812/657.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 559/143,812/657
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 559/143,812/657, numerators are 559,812
Denominators are 143,657
The GCF of 559,812 is 1 .
LCM of 143,657 is 93951.
The greatest common factor of 559/143,812/657 = [GCF of 559,812]/[LCM of 143,657]= 1/93951
Therefore, the GCF of 559/143,812/657 is 1/93951.
To find the highest common factor of 559,812, we have to find the factors of both numbers and list the highest common factor.
The factors of 559 are 1, 13, 43, 559
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The HCF of 559,812 is 1.
Lets's calculate GCF of 559,812
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 559
:1,13,43,559
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 559,812 . The biggest common factor number is the GCF number.
So the greatest common factor 559,812 is 1.
Lets's calculate LCM of 143,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 93951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93951
Therefore, the GCF of Fractions 559/143,812/657 is 1/93951
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 143,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,657) x common factors =1 x 1 = 1
LCM(143,657) = ( 143 × 657 ) / 1
LCM(143,657) = 93951 / 1
LCM(143,657) = 93951
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 559,812?
The HCF of 559,812 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 559/143, 812/657?
Answer: GCF of Numerators as per given numbers 559/143, 812/657 is
GCF of Numerators i.e. for 559,812 is 1
LCM of denominators i.e. for 143,657 is 93951.
Thus, GCF of Fractions is 1/93951.Finally, GCF of Fractions for 559/143, 812/657 is 1/93951.