Use our free GCF of Fractions Calculator tool to compute the GCF of 1151/472, 2894/3049 i.e 1/1439128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1151/472, 2894/3049.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1151/472,2894/3049
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 1151/472,2894/3049, numerators are 1151,2894
Denominators are 472,3049
The GCF of 1151,2894 is 1 .
LCM of 472,3049 is 1439128.
The greatest common factor of 1151/472,2894/3049 = [GCF of 1151,2894]/[LCM of 472,3049]= 1/1439128
Therefore, the GCF of 1151/472,2894/3049 is 1/1439128.
To find the highest common factor of 1151,2894, we have to find the factors of both numbers and list the highest common factor.
The factors of 1151 are 1, 1151
The factors of 2894 are 1, 2, 1447, 2894
The HCF of 1151,2894 is 1.
Lets's calculate GCF of 1151,2894
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1151
:1,1151
Now, list down the factors of 2894
:1,2,1447,2894
Greatest Common Factor
We found the factors 1151,2894 . The biggest common factor number is the GCF number.
So the greatest common factor 1151,2894 is 1.
Lets's calculate LCM of 472,3049
Given numbers has no common factors except 1. So, there LCM is their product i.e 1439128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1439128
Therefore, the GCF of Fractions 1151/472,2894/3049 is 1/1439128
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 472,3049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,3049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,3049) x common factors =1 x 1 = 1
LCM(472,3049) = ( 472 × 3049 ) / 1
LCM(472,3049) = 1439128 / 1
LCM(472,3049) = 1439128
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1151,2894?
The HCF of 1151,2894 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 1151/472, 2894/3049?
Answer: GCF of Numerators as per given numbers 1151/472, 2894/3049 is
GCF of Numerators i.e. for 1151,2894 is 1
LCM of denominators i.e. for 472,3049 is 1439128.
Thus, GCF of Fractions is 1/1439128.Finally, GCF of Fractions for 1151/472, 2894/3049 is 1/1439128.