Use our free GCF of Fractions Calculator tool to compute the GCF of 555/402, 302/513 i.e 1/68742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/402, 302/513.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/402,302/513
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 555/402,302/513, numerators are 555,302
Denominators are 402,513
The GCF of 555,302 is 1 .
LCM of 402,513 is 68742.
The greatest common factor of 555/402,302/513 = [GCF of 555,302]/[LCM of 402,513]= 1/68742
Therefore, the GCF of 555/402,302/513 is 1/68742.
To find the highest common factor of 555,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 302 are 1, 2, 151, 302
The HCF of 555,302 is 1.
Lets's calculate GCF of 555,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 555,302 . The biggest common factor number is the GCF number.
So the greatest common factor 555,302 is 1.
Lets's calculate LCM of 402,513
3 | 402, 513 |
134, 171 |
∴ So the LCM of the given numbers is 3 x 134 x 171 = 68742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68742
Therefore, the GCF of Fractions 555/402,302/513 is 1/68742
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 402,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,513) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(402,513) x common factors =3 x 1 = 3
LCM(402,513) = ( 402 × 513 ) / 3
LCM(402,513) = 206226 / 3
LCM(402,513) = 68742
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 555,302?
The HCF of 555,302 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 555/402, 302/513?
Answer: GCF of Numerators as per given numbers 555/402, 302/513 is
GCF of Numerators i.e. for 555,302 is 1
LCM of denominators i.e. for 402,513 is 68742.
Thus, GCF of Fractions is 1/68742.Finally, GCF of Fractions for 555/402, 302/513 is 1/68742.