Use our free GCF of Fractions Calculator tool to compute the GCF of 72/331, 940/217, 206/637 i.e 2/6536257 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/331, 940/217, 206/637.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/331,940/217,206/637
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 72/331,940/217,206/637, numerators are 72,940,206
Denominators are 331,217,637
The GCF of 72,940,206 is 2 .
LCM of 331,217,637 is 6536257.
The greatest common factor of 72/331,940/217,206/637 = [GCF of 72,940,206]/[LCM of 331,217,637]= 2/6536257
Therefore, the GCF of 72/331,940/217,206/637 is 2/6536257.
To find the highest common factor of 72,940,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The factors of 206 are 1, 2, 103, 206
The HCF of 72,940,206 is 2.
Lets's calculate GCF of 72,940,206
2 | 72, 940, 206 |
36, 470, 103 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 72,940,206 . The biggest common factor number is the GCF number.
So the greatest common factor 72,940,206 is 2.
Lets's calculate LCM of 331,217,637
7 | 331, 217, 637 |
331, 31, 91 |
∴ So the LCM of the given numbers is 7 x 331 x 31 x 91 = 6536257
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6536257
Therefore, the GCF of Fractions 72/331,940/217,206/637 is 2/6536257
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 331,217,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,217,637) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(331,217,637) x common factors =1 x 7 = 7
LCM(331,217,637) = ( 331 × 217 × 637 ) / 7
LCM(331,217,637) = 45753799 / 7
LCM(331,217,637) = 6536257
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,940,206?
The HCF of 72,940,206 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 72/331, 940/217, 206/637?
Answer: GCF of Numerators as per given numbers 72/331, 940/217, 206/637 is
GCF of Numerators i.e. for 72,940,206 is 2
LCM of denominators i.e. for 331,217,637 is 6536257.
Thus, GCF of Fractions is 2/6536257.Finally, GCF of Fractions for 72/331, 940/217, 206/637 is 2/6536257.