Use our free GCF of Fractions Calculator tool to compute the GCF of 127/165, 945/258 i.e 1/14190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 127/165, 945/258.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 127/165,945/258
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 127/165,945/258, numerators are 127,945
Denominators are 165,258
The GCF of 127,945 is 1 .
LCM of 165,258 is 14190.
The greatest common factor of 127/165,945/258 = [GCF of 127,945]/[LCM of 165,258]= 1/14190
Therefore, the GCF of 127/165,945/258 is 1/14190.
To find the highest common factor of 127,945, we have to find the factors of both numbers and list the highest common factor.
The factors of 127 are 1, 127
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The HCF of 127,945 is 1.
Lets's calculate GCF of 127,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 127
:1,127
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 127,945 . The biggest common factor number is the GCF number.
So the greatest common factor 127,945 is 1.
Lets's calculate LCM of 165,258
3 | 165, 258 |
55, 86 |
∴ So the LCM of the given numbers is 3 x 55 x 86 = 14190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14190
Therefore, the GCF of Fractions 127/165,945/258 is 1/14190
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 165,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,258) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(165,258) x common factors =3 x 1 = 3
LCM(165,258) = ( 165 × 258 ) / 3
LCM(165,258) = 42570 / 3
LCM(165,258) = 14190
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 127,945?
The HCF of 127,945 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 127/165, 945/258?
Answer: GCF of Numerators as per given numbers 127/165, 945/258 is
GCF of Numerators i.e. for 127,945 is 1
LCM of denominators i.e. for 165,258 is 14190.
Thus, GCF of Fractions is 1/14190.Finally, GCF of Fractions for 127/165, 945/258 is 1/14190.