Use our free GCF of Fractions Calculator tool to compute the GCF of 956/433, 143/138 i.e 1/59754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/433, 143/138.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 956/433,143/138
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 956/433,143/138, numerators are 956,143
Denominators are 433,138
The GCF of 956,143 is 1 .
LCM of 433,138 is 59754.
The greatest common factor of 956/433,143/138 = [GCF of 956,143]/[LCM of 433,138]= 1/59754
Therefore, the GCF of 956/433,143/138 is 1/59754.
To find the highest common factor of 956,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 956 are 1, 2, 4, 239, 478, 956
The factors of 143 are 1, 11, 13, 143
The HCF of 956,143 is 1.
Lets's calculate GCF of 956,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 956
:1,2,4,239,478,956
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 956,143 . The biggest common factor number is the GCF number.
So the greatest common factor 956,143 is 1.
Lets's calculate LCM of 433,138
Given numbers has no common factors except 1. So, there LCM is their product i.e 59754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59754
Therefore, the GCF of Fractions 956/433,143/138 is 1/59754
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 433,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,138) x common factors =1 x 1 = 1
LCM(433,138) = ( 433 × 138 ) / 1
LCM(433,138) = 59754 / 1
LCM(433,138) = 59754
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 956,143?
The HCF of 956,143 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 956/433, 143/138?
Answer: GCF of Numerators as per given numbers 956/433, 143/138 is
GCF of Numerators i.e. for 956,143 is 1
LCM of denominators i.e. for 433,138 is 59754.
Thus, GCF of Fractions is 1/59754.Finally, GCF of Fractions for 956/433, 143/138 is 1/59754.