Use our free GCF of Fractions Calculator tool to compute the GCF of 34/223, 560/192, 179/825 i.e 1/11774400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/223, 560/192, 179/825.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/223,560/192,179/825
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 34/223,560/192,179/825, numerators are 34,560,179
Denominators are 223,192,825
The GCF of 34,560,179 is 1 .
LCM of 223,192,825 is 11774400.
The greatest common factor of 34/223,560/192,179/825 = [GCF of 34,560,179]/[LCM of 223,192,825]= 1/11774400
Therefore, the GCF of 34/223,560/192,179/825 is 1/11774400.
To find the highest common factor of 34,560,179, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The factors of 179 are 1, 179
The HCF of 34,560,179 is 1.
Lets's calculate GCF of 34,560,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Now, list down the factors of 179
:1,179
Greatest Common Factor
We found the factors 34,560,179 . The biggest common factor number is the GCF number.
So the greatest common factor 34,560,179 is 1.
Lets's calculate LCM of 223,192,825
3 | 223, 192, 825 |
223, 64, 275 |
∴ So the LCM of the given numbers is 3 x 223 x 64 x 275 = 11774400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11774400
Therefore, the GCF of Fractions 34/223,560/192,179/825 is 1/11774400
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 223,192,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,192,825) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(223,192,825) x common factors =1 x 3 = 3
LCM(223,192,825) = ( 223 × 192 × 825 ) / 3
LCM(223,192,825) = 35323200 / 3
LCM(223,192,825) = 11774400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,560,179?
The HCF of 34,560,179 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 34/223, 560/192, 179/825?
Answer: GCF of Numerators as per given numbers 34/223, 560/192, 179/825 is
GCF of Numerators i.e. for 34,560,179 is 1
LCM of denominators i.e. for 223,192,825 is 11774400.
Thus, GCF of Fractions is 1/11774400.Finally, GCF of Fractions for 34/223, 560/192, 179/825 is 1/11774400.