Use our free GCF of Fractions Calculator tool to compute the GCF of 93/172, 30/177, 873/343 i.e 3/10442292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/172, 30/177, 873/343.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/172,30/177,873/343
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 93/172,30/177,873/343, numerators are 93,30,873
Denominators are 172,177,343
The GCF of 93,30,873 is 3 .
LCM of 172,177,343 is 10442292.
The greatest common factor of 93/172,30/177,873/343 = [GCF of 93,30,873]/[LCM of 172,177,343]= 3/10442292
Therefore, the GCF of 93/172,30/177,873/343 is 3/10442292.
To find the highest common factor of 93,30,873, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 873 are 1, 3, 9, 97, 291, 873
The HCF of 93,30,873 is 3.
Lets's calculate GCF of 93,30,873
3 | 93, 30, 873 |
31, 10, 291 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 873
:1,3,9,97,291,873
Greatest Common Factor
We found the factors 93,30,873 . The biggest common factor number is the GCF number.
So the greatest common factor 93,30,873 is 3.
Lets's calculate LCM of 172,177,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 10442292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10442292
Therefore, the GCF of Fractions 93/172,30/177,873/343 is 3/10442292
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 172,177,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,177,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,177,343) x common factors =1 x 1 = 1
LCM(172,177,343) = ( 172 × 177 × 343 ) / 1
LCM(172,177,343) = 10442292 / 1
LCM(172,177,343) = 10442292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 93,30,873?
The HCF of 93,30,873 is 3
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 93/172, 30/177, 873/343?
Answer: GCF of Numerators as per given numbers 93/172, 30/177, 873/343 is
GCF of Numerators i.e. for 93,30,873 is 3
LCM of denominators i.e. for 172,177,343 is 10442292.
Thus, GCF of Fractions is 3/10442292.Finally, GCF of Fractions for 93/172, 30/177, 873/343 is 3/10442292.