Use our free GCF of Fractions Calculator tool to compute the GCF of 444/971, 752/433 i.e 4/420443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/971, 752/433.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/971,752/433
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 444/971,752/433, numerators are 444,752
Denominators are 971,433
The GCF of 444,752 is 4 .
LCM of 971,433 is 420443.
The greatest common factor of 444/971,752/433 = [GCF of 444,752]/[LCM of 971,433]= 4/420443
Therefore, the GCF of 444/971,752/433 is 4/420443.
To find the highest common factor of 444,752, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 444,752 is 4.
Lets's calculate GCF of 444,752
2 | 444, 752 |
2 | 222, 376 |
111, 188 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 444,752 . The biggest common factor number is the GCF number.
So the greatest common factor 444,752 is 4.
Lets's calculate LCM of 971,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 420443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/420443
Therefore, the GCF of Fractions 444/971,752/433 is 4/420443
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 971,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,433) x common factors =1 x 1 = 1
LCM(971,433) = ( 971 × 433 ) / 1
LCM(971,433) = 420443 / 1
LCM(971,433) = 420443
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 444,752?
The HCF of 444,752 is 4
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 444/971, 752/433?
Answer: GCF of Numerators as per given numbers 444/971, 752/433 is
GCF of Numerators i.e. for 444,752 is 4
LCM of denominators i.e. for 971,433 is 420443.
Thus, GCF of Fractions is 4/420443.Finally, GCF of Fractions for 444/971, 752/433 is 4/420443.