Use our free GCF of Fractions Calculator tool to compute the GCF of 927/431, 762/684 i.e 3/294804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/431, 762/684.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/431,762/684
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 927/431,762/684, numerators are 927,762
Denominators are 431,684
The GCF of 927,762 is 3 .
LCM of 431,684 is 294804.
The greatest common factor of 927/431,762/684 = [GCF of 927,762]/[LCM of 431,684]= 3/294804
Therefore, the GCF of 927/431,762/684 is 3/294804.
To find the highest common factor of 927,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 927 are 1, 3, 9, 103, 309, 927
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 927,762 is 3.
Lets's calculate GCF of 927,762
3 | 927, 762 |
309, 254 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 927
:1,3,9,103,309,927
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 927,762 . The biggest common factor number is the GCF number.
So the greatest common factor 927,762 is 3.
Lets's calculate LCM of 431,684
Given numbers has no common factors except 1. So, there LCM is their product i.e 294804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/294804
Therefore, the GCF of Fractions 927/431,762/684 is 3/294804
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 431,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,684) x common factors =1 x 1 = 1
LCM(431,684) = ( 431 × 684 ) / 1
LCM(431,684) = 294804 / 1
LCM(431,684) = 294804
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 927,762?
The HCF of 927,762 is 3
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 927/431, 762/684?
Answer: GCF of Numerators as per given numbers 927/431, 762/684 is
GCF of Numerators i.e. for 927,762 is 3
LCM of denominators i.e. for 431,684 is 294804.
Thus, GCF of Fractions is 3/294804.Finally, GCF of Fractions for 927/431, 762/684 is 3/294804.