Use our free GCF of Fractions Calculator tool to compute the GCF of 927/743, 312/310 i.e 3/230330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/743, 312/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/743,312/310
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 927/743,312/310, numerators are 927,312
Denominators are 743,310
The GCF of 927,312 is 3 .
LCM of 743,310 is 230330.
The greatest common factor of 927/743,312/310 = [GCF of 927,312]/[LCM of 743,310]= 3/230330
Therefore, the GCF of 927/743,312/310 is 3/230330.
To find the highest common factor of 927,312, 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 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 927,312 is 3.
Lets's calculate GCF of 927,312
3 | 927, 312 |
309, 104 |
∴ 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 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 927,312 . The biggest common factor number is the GCF number.
So the greatest common factor 927,312 is 3.
Lets's calculate LCM of 743,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 230330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/230330
Therefore, the GCF of Fractions 927/743,312/310 is 3/230330
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 743,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,310) x common factors =1 x 1 = 1
LCM(743,310) = ( 743 × 310 ) / 1
LCM(743,310) = 230330 / 1
LCM(743,310) = 230330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 927,312?
The HCF of 927,312 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 927/743, 312/310?
Answer: GCF of Numerators as per given numbers 927/743, 312/310 is
GCF of Numerators i.e. for 927,312 is 3
LCM of denominators i.e. for 743,310 is 230330.
Thus, GCF of Fractions is 3/230330.Finally, GCF of Fractions for 927/743, 312/310 is 3/230330.