Use our free GCF of Fractions Calculator tool to compute the GCF of 951/285, 469/929 i.e 1/264765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 951/285, 469/929.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 951/285,469/929
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 951/285,469/929, numerators are 951,469
Denominators are 285,929
The GCF of 951,469 is 1 .
LCM of 285,929 is 264765.
The greatest common factor of 951/285,469/929 = [GCF of 951,469]/[LCM of 285,929]= 1/264765
Therefore, the GCF of 951/285,469/929 is 1/264765.
To find the highest common factor of 951,469, we have to find the factors of both numbers and list the highest common factor.
The factors of 951 are 1, 3, 317, 951
The factors of 469 are 1, 7, 67, 469
The HCF of 951,469 is 1.
Lets's calculate GCF of 951,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 951
:1,3,317,951
Now, list down the factors of 469
:1,7,67,469
Greatest Common Factor
We found the factors 951,469 . The biggest common factor number is the GCF number.
So the greatest common factor 951,469 is 1.
Lets's calculate LCM of 285,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 264765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264765
Therefore, the GCF of Fractions 951/285,469/929 is 1/264765
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 285,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,929) x common factors =1 x 1 = 1
LCM(285,929) = ( 285 × 929 ) / 1
LCM(285,929) = 264765 / 1
LCM(285,929) = 264765
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 951,469?
The HCF of 951,469 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 951/285, 469/929?
Answer: GCF of Numerators as per given numbers 951/285, 469/929 is
GCF of Numerators i.e. for 951,469 is 1
LCM of denominators i.e. for 285,929 is 264765.
Thus, GCF of Fractions is 1/264765.Finally, GCF of Fractions for 951/285, 469/929 is 1/264765.