Use our free GCF of Fractions Calculator tool to compute the GCF of 4251/981, 1440/6065 i.e 3/5949765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4251/981, 1440/6065.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4251/981,1440/6065
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 4251/981,1440/6065, numerators are 4251,1440
Denominators are 981,6065
The GCF of 4251,1440 is 3 .
LCM of 981,6065 is 5949765.
The greatest common factor of 4251/981,1440/6065 = [GCF of 4251,1440]/[LCM of 981,6065]= 3/5949765
Therefore, the GCF of 4251/981,1440/6065 is 3/5949765.
To find the highest common factor of 4251,1440, we have to find the factors of both numbers and list the highest common factor.
The factors of 4251 are 1, 3, 13, 39, 109, 327, 1417, 4251
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
The HCF of 4251,1440 is 3.
Lets's calculate GCF of 4251,1440
3 | 4251, 1440 |
1417, 480 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 4251
:1,3,13,39,109,327,1417,4251
Now, list down the factors of 1440
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Greatest Common Factor
We found the factors 4251,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 4251,1440 is 3.
Lets's calculate LCM of 981,6065
Given numbers has no common factors except 1. So, there LCM is their product i.e 5949765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5949765
Therefore, the GCF of Fractions 4251/981,1440/6065 is 3/5949765
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 981,6065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,6065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,6065) x common factors =1 x 1 = 1
LCM(981,6065) = ( 981 × 6065 ) / 1
LCM(981,6065) = 5949765 / 1
LCM(981,6065) = 5949765
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4251,1440?
The HCF of 4251,1440 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 4251/981, 1440/6065?
Answer: GCF of Numerators as per given numbers 4251/981, 1440/6065 is
GCF of Numerators i.e. for 4251,1440 is 3
LCM of denominators i.e. for 981,6065 is 5949765.
Thus, GCF of Fractions is 3/5949765.Finally, GCF of Fractions for 4251/981, 1440/6065 is 3/5949765.