Use our free GCF of Fractions Calculator tool to compute the GCF of 225/169, 275/155 i.e 25/26195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 225/169, 275/155.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 225/169,275/155
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 225/169,275/155, numerators are 225,275
Denominators are 169,155
The GCF of 225,275 is 25 .
LCM of 169,155 is 26195.
The greatest common factor of 225/169,275/155 = [GCF of 225,275]/[LCM of 169,155]= 25/26195
Therefore, the GCF of 225/169,275/155 is 25/26195.
To find the highest common factor of 225,275, we have to find the factors of both numbers and list the highest common factor.
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 225,275 is 25.
Lets's calculate GCF of 225,275
5 | 225, 275 |
5 | 45, 55 |
9, 11 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 225,275 . The biggest common factor number is the GCF number.
So the greatest common factor 225,275 is 25.
Lets's calculate LCM of 169,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 26195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/26195
Therefore, the GCF of Fractions 225/169,275/155 is 25/26195
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 169,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,155) x common factors =1 x 1 = 1
LCM(169,155) = ( 169 × 155 ) / 1
LCM(169,155) = 26195 / 1
LCM(169,155) = 26195
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 225,275?
The HCF of 225,275 is 25
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 225/169, 275/155?
Answer: GCF of Numerators as per given numbers 225/169, 275/155 is
GCF of Numerators i.e. for 225,275 is 25
LCM of denominators i.e. for 169,155 is 26195.
Thus, GCF of Fractions is 25/26195.Finally, GCF of Fractions for 225/169, 275/155 is 25/26195.