Use our free GCF of Fractions Calculator tool to compute the GCF of 51/899, 31/742, 252/299 i.e 1/199450342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/899, 31/742, 252/299.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/899,31/742,252/299
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 51/899,31/742,252/299, numerators are 51,31,252
Denominators are 899,742,299
The GCF of 51,31,252 is 1 .
LCM of 899,742,299 is 199450342.
The greatest common factor of 51/899,31/742,252/299 = [GCF of 51,31,252]/[LCM of 899,742,299]= 1/199450342
Therefore, the GCF of 51/899,31/742,252/299 is 1/199450342.
To find the highest common factor of 51,31,252, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 31 are 1, 31
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The HCF of 51,31,252 is 1.
Lets's calculate GCF of 51,31,252
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 31
:1,31
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 51,31,252 . The biggest common factor number is the GCF number.
So the greatest common factor 51,31,252 is 1.
Lets's calculate LCM of 899,742,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 199450342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199450342
Therefore, the GCF of Fractions 51/899,31/742,252/299 is 1/199450342
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 899,742,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,742,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,742,299) x common factors =1 x 1 = 1
LCM(899,742,299) = ( 899 × 742 × 299 ) / 1
LCM(899,742,299) = 199450342 / 1
LCM(899,742,299) = 199450342
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 51,31,252?
The HCF of 51,31,252 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 51/899, 31/742, 252/299?
Answer: GCF of Numerators as per given numbers 51/899, 31/742, 252/299 is
GCF of Numerators i.e. for 51,31,252 is 1
LCM of denominators i.e. for 899,742,299 is 199450342.
Thus, GCF of Fractions is 1/199450342.Finally, GCF of Fractions for 51/899, 31/742, 252/299 is 1/199450342.