Use our free GCF of Fractions Calculator tool to compute the GCF of 424/576, 217/153 i.e 1/9792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/576, 217/153.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/576,217/153
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 424/576,217/153, numerators are 424,217
Denominators are 576,153
The GCF of 424,217 is 1 .
LCM of 576,153 is 9792.
The greatest common factor of 424/576,217/153 = [GCF of 424,217]/[LCM of 576,153]= 1/9792
Therefore, the GCF of 424/576,217/153 is 1/9792.
To find the highest common factor of 424,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 217 are 1, 7, 31, 217
The HCF of 424,217 is 1.
Lets's calculate GCF of 424,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 424,217 . The biggest common factor number is the GCF number.
So the greatest common factor 424,217 is 1.
Lets's calculate LCM of 576,153
3 | 576, 153 |
3 | 192, 51 |
64, 17 |
∴ So the LCM of the given numbers is 3 x 3 x 64 x 17 = 9792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9792
Therefore, the GCF of Fractions 424/576,217/153 is 1/9792
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 576,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,153) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(576,153) x common factors =9 x 1 = 9
LCM(576,153) = ( 576 × 153 ) / 9
LCM(576,153) = 88128 / 9
LCM(576,153) = 9792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 424,217?
The HCF of 424,217 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 424/576, 217/153?
Answer: GCF of Numerators as per given numbers 424/576, 217/153 is
GCF of Numerators i.e. for 424,217 is 1
LCM of denominators i.e. for 576,153 is 9792.
Thus, GCF of Fractions is 1/9792.Finally, GCF of Fractions for 424/576, 217/153 is 1/9792.