Use our free GCF of Fractions Calculator tool to compute the GCF of 157/470, 245/592 i.e 1/139120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 157/470, 245/592.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 157/470,245/592
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 157/470,245/592, numerators are 157,245
Denominators are 470,592
The GCF of 157,245 is 1 .
LCM of 470,592 is 139120.
The greatest common factor of 157/470,245/592 = [GCF of 157,245]/[LCM of 470,592]= 1/139120
Therefore, the GCF of 157/470,245/592 is 1/139120.
To find the highest common factor of 157,245, we have to find the factors of both numbers and list the highest common factor.
The factors of 157 are 1, 157
The factors of 245 are 1, 5, 7, 35, 49, 245
The HCF of 157,245 is 1.
Lets's calculate GCF of 157,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 157
:1,157
Now, list down the factors of 245
:1,5,7,35,49,245
Greatest Common Factor
We found the factors 157,245 . The biggest common factor number is the GCF number.
So the greatest common factor 157,245 is 1.
Lets's calculate LCM of 470,592
2 | 470, 592 |
235, 296 |
∴ So the LCM of the given numbers is 2 x 235 x 296 = 139120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139120
Therefore, the GCF of Fractions 157/470,245/592 is 1/139120
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 470,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,592) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,592) x common factors =2 x 1 = 2
LCM(470,592) = ( 470 × 592 ) / 2
LCM(470,592) = 278240 / 2
LCM(470,592) = 139120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 157,245?
The HCF of 157,245 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 157/470, 245/592?
Answer: GCF of Numerators as per given numbers 157/470, 245/592 is
GCF of Numerators i.e. for 157,245 is 1
LCM of denominators i.e. for 470,592 is 139120.
Thus, GCF of Fractions is 1/139120.Finally, GCF of Fractions for 157/470, 245/592 is 1/139120.