Use our free GCF of Fractions Calculator tool to compute the GCF of 547/436, 430/576 i.e 1/62784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/436, 430/576.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/436,430/576
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 547/436,430/576, numerators are 547,430
Denominators are 436,576
The GCF of 547,430 is 1 .
LCM of 436,576 is 62784.
The greatest common factor of 547/436,430/576 = [GCF of 547,430]/[LCM of 436,576]= 1/62784
Therefore, the GCF of 547/436,430/576 is 1/62784.
To find the highest common factor of 547,430, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 547,430 is 1.
Lets's calculate GCF of 547,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 547
:1,547
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 547,430 . The biggest common factor number is the GCF number.
So the greatest common factor 547,430 is 1.
Lets's calculate LCM of 436,576
2 | 436, 576 |
2 | 218, 288 |
109, 144 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 144 = 62784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62784
Therefore, the GCF of Fractions 547/436,430/576 is 1/62784
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 436,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,576) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,576) x common factors =4 x 1 = 4
LCM(436,576) = ( 436 × 576 ) / 4
LCM(436,576) = 251136 / 4
LCM(436,576) = 62784
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 547,430?
The HCF of 547,430 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 547/436, 430/576?
Answer: GCF of Numerators as per given numbers 547/436, 430/576 is
GCF of Numerators i.e. for 547,430 is 1
LCM of denominators i.e. for 436,576 is 62784.
Thus, GCF of Fractions is 1/62784.Finally, GCF of Fractions for 547/436, 430/576 is 1/62784.