Use our free GCF of Fractions Calculator tool to compute the GCF of 247/526, 220/589 i.e 1/309814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 247/526, 220/589.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 247/526,220/589
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 247/526,220/589, numerators are 247,220
Denominators are 526,589
The GCF of 247,220 is 1 .
LCM of 526,589 is 309814.
The greatest common factor of 247/526,220/589 = [GCF of 247,220]/[LCM of 526,589]= 1/309814
Therefore, the GCF of 247/526,220/589 is 1/309814.
To find the highest common factor of 247,220, we have to find the factors of both numbers and list the highest common factor.
The factors of 247 are 1, 13, 19, 247
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 247,220 is 1.
Lets's calculate GCF of 247,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 247
:1,13,19,247
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 247,220 . The biggest common factor number is the GCF number.
So the greatest common factor 247,220 is 1.
Lets's calculate LCM of 526,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 309814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309814
Therefore, the GCF of Fractions 247/526,220/589 is 1/309814
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 526,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,589) x common factors =1 x 1 = 1
LCM(526,589) = ( 526 × 589 ) / 1
LCM(526,589) = 309814 / 1
LCM(526,589) = 309814
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 247,220?
The HCF of 247,220 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 247/526, 220/589?
Answer: GCF of Numerators as per given numbers 247/526, 220/589 is
GCF of Numerators i.e. for 247,220 is 1
LCM of denominators i.e. for 526,589 is 309814.
Thus, GCF of Fractions is 1/309814.Finally, GCF of Fractions for 247/526, 220/589 is 1/309814.