Use our free GCF of Fractions Calculator tool to compute the GCF of 14/556, 64/452, 357/629 i.e 1/39518812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/556, 64/452, 357/629.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/556,64/452,357/629
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 14/556,64/452,357/629, numerators are 14,64,357
Denominators are 556,452,629
The GCF of 14,64,357 is 1 .
LCM of 556,452,629 is 39518812.
The greatest common factor of 14/556,64/452,357/629 = [GCF of 14,64,357]/[LCM of 556,452,629]= 1/39518812
Therefore, the GCF of 14/556,64/452,357/629 is 1/39518812.
To find the highest common factor of 14,64,357, 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 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The HCF of 14,64,357 is 1.
Lets's calculate GCF of 14,64,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 14,64,357 . The biggest common factor number is the GCF number.
So the greatest common factor 14,64,357 is 1.
Lets's calculate LCM of 556,452,629
2 | 556, 452, 629 |
2 | 278, 226, 629 |
139, 113, 629 |
∴ So the LCM of the given numbers is 2 x 2 x 139 x 113 x 629 = 39518812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39518812
Therefore, the GCF of Fractions 14/556,64/452,357/629 is 1/39518812
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 556,452,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,452,629) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(556,452,629) x common factors =1 x 4 = 4
LCM(556,452,629) = ( 556 × 452 × 629 ) / 4
LCM(556,452,629) = 158075248 / 4
LCM(556,452,629) = 39518812
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,64,357?
The HCF of 14,64,357 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 14/556, 64/452, 357/629?
Answer: GCF of Numerators as per given numbers 14/556, 64/452, 357/629 is
GCF of Numerators i.e. for 14,64,357 is 1
LCM of denominators i.e. for 556,452,629 is 39518812.
Thus, GCF of Fractions is 1/39518812.Finally, GCF of Fractions for 14/556, 64/452, 357/629 is 1/39518812.