Use our free GCF of Fractions Calculator tool to compute the GCF of 844/450, 128/304 i.e 4/68400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/450, 128/304.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/450,128/304
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 844/450,128/304, numerators are 844,128
Denominators are 450,304
The GCF of 844,128 is 4 .
LCM of 450,304 is 68400.
The greatest common factor of 844/450,128/304 = [GCF of 844,128]/[LCM of 450,304]= 4/68400
Therefore, the GCF of 844/450,128/304 is 4/68400.
To find the highest common factor of 844,128, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The HCF of 844,128 is 4.
Lets's calculate GCF of 844,128
2 | 844, 128 |
2 | 422, 64 |
211, 32 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 844,128 . The biggest common factor number is the GCF number.
So the greatest common factor 844,128 is 4.
Lets's calculate LCM of 450,304
2 | 450, 304 |
225, 152 |
∴ So the LCM of the given numbers is 2 x 225 x 152 = 68400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/68400
Therefore, the GCF of Fractions 844/450,128/304 is 4/68400
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 450,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,304) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,304) x common factors =2 x 1 = 2
LCM(450,304) = ( 450 × 304 ) / 2
LCM(450,304) = 136800 / 2
LCM(450,304) = 68400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 844,128?
The HCF of 844,128 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 844/450, 128/304?
Answer: GCF of Numerators as per given numbers 844/450, 128/304 is
GCF of Numerators i.e. for 844,128 is 4
LCM of denominators i.e. for 450,304 is 68400.
Thus, GCF of Fractions is 4/68400.Finally, GCF of Fractions for 844/450, 128/304 is 4/68400.