Use our free GCF of Fractions Calculator tool to compute the GCF of 128/302, 204/587 i.e 4/177274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/302, 204/587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 128/302,204/587
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 128/302,204/587, numerators are 128,204
Denominators are 302,587
The GCF of 128,204 is 4 .
LCM of 302,587 is 177274.
The greatest common factor of 128/302,204/587 = [GCF of 128,204]/[LCM of 302,587]= 4/177274
Therefore, the GCF of 128/302,204/587 is 4/177274.
To find the highest common factor of 128,204, we have to find the factors of both numbers and list the highest common factor.
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The HCF of 128,204 is 4.
Lets's calculate GCF of 128,204
2 | 128, 204 |
2 | 64, 102 |
32, 51 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 128,204 . The biggest common factor number is the GCF number.
So the greatest common factor 128,204 is 4.
Lets's calculate LCM of 302,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 177274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/177274
Therefore, the GCF of Fractions 128/302,204/587 is 4/177274
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 302,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,587) x common factors =1 x 1 = 1
LCM(302,587) = ( 302 × 587 ) / 1
LCM(302,587) = 177274 / 1
LCM(302,587) = 177274
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 128,204?
The HCF of 128,204 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 128/302, 204/587?
Answer: GCF of Numerators as per given numbers 128/302, 204/587 is
GCF of Numerators i.e. for 128,204 is 4
LCM of denominators i.e. for 302,587 is 177274.
Thus, GCF of Fractions is 4/177274.Finally, GCF of Fractions for 128/302, 204/587 is 4/177274.