Use our free GCF of Fractions Calculator tool to compute the GCF of 554/128, 687/302 i.e 1/19328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/128, 687/302.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/128,687/302
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 554/128,687/302, numerators are 554,687
Denominators are 128,302
The GCF of 554,687 is 1 .
LCM of 128,302 is 19328.
The greatest common factor of 554/128,687/302 = [GCF of 554,687]/[LCM of 128,302]= 1/19328
Therefore, the GCF of 554/128,687/302 is 1/19328.
To find the highest common factor of 554,687, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 687 are 1, 3, 229, 687
The HCF of 554,687 is 1.
Lets's calculate GCF of 554,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 687
:1,3,229,687
Greatest Common Factor
We found the factors 554,687 . The biggest common factor number is the GCF number.
So the greatest common factor 554,687 is 1.
Lets's calculate LCM of 128,302
2 | 128, 302 |
64, 151 |
∴ So the LCM of the given numbers is 2 x 64 x 151 = 19328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19328
Therefore, the GCF of Fractions 554/128,687/302 is 1/19328
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 128,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,302) x common factors =2 x 1 = 2
LCM(128,302) = ( 128 × 302 ) / 2
LCM(128,302) = 38656 / 2
LCM(128,302) = 19328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 554,687?
The HCF of 554,687 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 554/128, 687/302?
Answer: GCF of Numerators as per given numbers 554/128, 687/302 is
GCF of Numerators i.e. for 554,687 is 1
LCM of denominators i.e. for 128,302 is 19328.
Thus, GCF of Fractions is 1/19328.Finally, GCF of Fractions for 554/128, 687/302 is 1/19328.