Use our free GCF of Fractions Calculator tool to compute the GCF of 227/530, 716/446 i.e 1/118190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/530, 716/446.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 227/530,716/446
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 227/530,716/446, numerators are 227,716
Denominators are 530,446
The GCF of 227,716 is 1 .
LCM of 530,446 is 118190.
The greatest common factor of 227/530,716/446 = [GCF of 227,716]/[LCM of 530,446]= 1/118190
Therefore, the GCF of 227/530,716/446 is 1/118190.
To find the highest common factor of 227,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 227 are 1, 227
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 227,716 is 1.
Lets's calculate GCF of 227,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 227
:1,227
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 227,716 . The biggest common factor number is the GCF number.
So the greatest common factor 227,716 is 1.
Lets's calculate LCM of 530,446
2 | 530, 446 |
265, 223 |
∴ So the LCM of the given numbers is 2 x 265 x 223 = 118190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118190
Therefore, the GCF of Fractions 227/530,716/446 is 1/118190
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 530,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(530,446) x common factors =2 x 1 = 2
LCM(530,446) = ( 530 × 446 ) / 2
LCM(530,446) = 236380 / 2
LCM(530,446) = 118190
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 227,716?
The HCF of 227,716 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 227/530, 716/446?
Answer: GCF of Numerators as per given numbers 227/530, 716/446 is
GCF of Numerators i.e. for 227,716 is 1
LCM of denominators i.e. for 530,446 is 118190.
Thus, GCF of Fractions is 1/118190.Finally, GCF of Fractions for 227/530, 716/446 is 1/118190.