Use our free GCF of Fractions Calculator tool to compute the GCF of 923/725, 169/586 i.e 13/424850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/725, 169/586.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/725,169/586
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 923/725,169/586, numerators are 923,169
Denominators are 725,586
The GCF of 923,169 is 13 .
LCM of 725,586 is 424850.
The greatest common factor of 923/725,169/586 = [GCF of 923,169]/[LCM of 725,586]= 13/424850
Therefore, the GCF of 923/725,169/586 is 13/424850.
To find the highest common factor of 923,169, we have to find the factors of both numbers and list the highest common factor.
The factors of 923 are 1, 13, 71, 923
The factors of 169 are 1, 13, 169
The HCF of 923,169 is 13.
Lets's calculate GCF of 923,169
13 | 923, 169 |
71, 13 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 923
:1,13,71,923
Now, list down the factors of 169
:1,13,169
Greatest Common Factor
We found the factors 923,169 . The biggest common factor number is the GCF number.
So the greatest common factor 923,169 is 13.
Lets's calculate LCM of 725,586
Given numbers has no common factors except 1. So, there LCM is their product i.e 424850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/424850
Therefore, the GCF of Fractions 923/725,169/586 is 13/424850
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 725,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,586) x common factors =1 x 1 = 1
LCM(725,586) = ( 725 × 586 ) / 1
LCM(725,586) = 424850 / 1
LCM(725,586) = 424850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 923,169?
The HCF of 923,169 is 13
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 923/725, 169/586?
Answer: GCF of Numerators as per given numbers 923/725, 169/586 is
GCF of Numerators i.e. for 923,169 is 13
LCM of denominators i.e. for 725,586 is 424850.
Thus, GCF of Fractions is 13/424850.Finally, GCF of Fractions for 923/725, 169/586 is 13/424850.