Use our free GCF of Fractions Calculator tool to compute the GCF of 434/472, 500/613 i.e 2/289336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 434/472, 500/613.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 434/472,500/613
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 434/472,500/613, numerators are 434,500
Denominators are 472,613
The GCF of 434,500 is 2 .
LCM of 472,613 is 289336.
The greatest common factor of 434/472,500/613 = [GCF of 434,500]/[LCM of 472,613]= 2/289336
Therefore, the GCF of 434/472,500/613 is 2/289336.
To find the highest common factor of 434,500, we have to find the factors of both numbers and list the highest common factor.
The factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The HCF of 434,500 is 2.
Lets's calculate GCF of 434,500
2 | 434, 500 |
217, 250 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 434
:1,2,7,14,31,62,217,434
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 434,500 . The biggest common factor number is the GCF number.
So the greatest common factor 434,500 is 2.
Lets's calculate LCM of 472,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 289336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/289336
Therefore, the GCF of Fractions 434/472,500/613 is 2/289336
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 472,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,613) x common factors =1 x 1 = 1
LCM(472,613) = ( 472 × 613 ) / 1
LCM(472,613) = 289336 / 1
LCM(472,613) = 289336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 434,500?
The HCF of 434,500 is 2
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 434/472, 500/613?
Answer: GCF of Numerators as per given numbers 434/472, 500/613 is
GCF of Numerators i.e. for 434,500 is 2
LCM of denominators i.e. for 472,613 is 289336.
Thus, GCF of Fractions is 2/289336.Finally, GCF of Fractions for 434/472, 500/613 is 2/289336.