Use our free GCF of Fractions Calculator tool to compute the GCF of 87/43, 311/65, 976/107 i.e 1/299065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/43, 311/65, 976/107.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/43,311/65,976/107
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 87/43,311/65,976/107, numerators are 87,311,976
Denominators are 43,65,107
The GCF of 87,311,976 is 1 .
LCM of 43,65,107 is 299065.
The greatest common factor of 87/43,311/65,976/107 = [GCF of 87,311,976]/[LCM of 43,65,107]= 1/299065
Therefore, the GCF of 87/43,311/65,976/107 is 1/299065.
To find the highest common factor of 87,311,976, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 311 are 1, 311
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The HCF of 87,311,976 is 1.
Lets's calculate GCF of 87,311,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 311
:1,311
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 87,311,976 . The biggest common factor number is the GCF number.
So the greatest common factor 87,311,976 is 1.
Lets's calculate LCM of 43,65,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 299065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299065
Therefore, the GCF of Fractions 87/43,311/65,976/107 is 1/299065
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 43,65,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,65,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,65,107) x common factors =1 x 1 = 1
LCM(43,65,107) = ( 43 × 65 × 107 ) / 1
LCM(43,65,107) = 299065 / 1
LCM(43,65,107) = 299065
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,311,976?
The HCF of 87,311,976 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 87/43, 311/65, 976/107?
Answer: GCF of Numerators as per given numbers 87/43, 311/65, 976/107 is
GCF of Numerators i.e. for 87,311,976 is 1
LCM of denominators i.e. for 43,65,107 is 299065.
Thus, GCF of Fractions is 1/299065.Finally, GCF of Fractions for 87/43, 311/65, 976/107 is 1/299065.