Use our free GCF of Fractions Calculator tool to compute the GCF of 937/993, 407/321 i.e 1/106251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/993, 407/321.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/993,407/321
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 937/993,407/321, numerators are 937,407
Denominators are 993,321
The GCF of 937,407 is 1 .
LCM of 993,321 is 106251.
The greatest common factor of 937/993,407/321 = [GCF of 937,407]/[LCM of 993,321]= 1/106251
Therefore, the GCF of 937/993,407/321 is 1/106251.
To find the highest common factor of 937,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 407 are 1, 11, 37, 407
The HCF of 937,407 is 1.
Lets's calculate GCF of 937,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 937
:1,937
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 937,407 . The biggest common factor number is the GCF number.
So the greatest common factor 937,407 is 1.
Lets's calculate LCM of 993,321
3 | 993, 321 |
331, 107 |
∴ So the LCM of the given numbers is 3 x 331 x 107 = 106251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106251
Therefore, the GCF of Fractions 937/993,407/321 is 1/106251
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 993,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,321) x common factors =3 x 1 = 3
LCM(993,321) = ( 993 × 321 ) / 3
LCM(993,321) = 318753 / 3
LCM(993,321) = 106251
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 937,407?
The HCF of 937,407 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 937/993, 407/321?
Answer: GCF of Numerators as per given numbers 937/993, 407/321 is
GCF of Numerators i.e. for 937,407 is 1
LCM of denominators i.e. for 993,321 is 106251.
Thus, GCF of Fractions is 1/106251.Finally, GCF of Fractions for 937/993, 407/321 is 1/106251.