Use our free GCF of Fractions Calculator tool to compute the GCF of 14/131, 744/360, 512/876 i.e 2/3442680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/131, 744/360, 512/876.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/131,744/360,512/876
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 14/131,744/360,512/876, numerators are 14,744,512
Denominators are 131,360,876
The GCF of 14,744,512 is 2 .
LCM of 131,360,876 is 3442680.
The greatest common factor of 14/131,744/360,512/876 = [GCF of 14,744,512]/[LCM of 131,360,876]= 2/3442680
Therefore, the GCF of 14/131,744/360,512/876 is 2/3442680.
To find the highest common factor of 14,744,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 14,744,512 is 2.
Lets's calculate GCF of 14,744,512
2 | 14, 744, 512 |
7, 372, 256 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 14,744,512 . The biggest common factor number is the GCF number.
So the greatest common factor 14,744,512 is 2.
Lets's calculate LCM of 131,360,876
2 | 131, 360, 876 |
2 | 131, 180, 438 |
3 | 131, 90, 219 |
131, 30, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 131 x 30 x 73 = 3442680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3442680
Therefore, the GCF of Fractions 14/131,744/360,512/876 is 2/3442680
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 131,360,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,360,876) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(131,360,876) x common factors =1 x 12 = 12
LCM(131,360,876) = ( 131 × 360 × 876 ) / 12
LCM(131,360,876) = 41312160 / 12
LCM(131,360,876) = 3442680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,744,512?
The HCF of 14,744,512 is 2
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 14/131, 744/360, 512/876?
Answer: GCF of Numerators as per given numbers 14/131, 744/360, 512/876 is
GCF of Numerators i.e. for 14,744,512 is 2
LCM of denominators i.e. for 131,360,876 is 3442680.
Thus, GCF of Fractions is 2/3442680.Finally, GCF of Fractions for 14/131, 744/360, 512/876 is 2/3442680.