Use our free GCF of Fractions Calculator tool to compute the GCF of 25/298, 29/118, 177/273 i.e 1/4799886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/298, 29/118, 177/273.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/298,29/118,177/273
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 25/298,29/118,177/273, numerators are 25,29,177
Denominators are 298,118,273
The GCF of 25,29,177 is 1 .
LCM of 298,118,273 is 4799886.
The greatest common factor of 25/298,29/118,177/273 = [GCF of 25,29,177]/[LCM of 298,118,273]= 1/4799886
Therefore, the GCF of 25/298,29/118,177/273 is 1/4799886.
To find the highest common factor of 25,29,177, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 29 are 1, 29
The factors of 177 are 1, 3, 59, 177
The HCF of 25,29,177 is 1.
Lets's calculate GCF of 25,29,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 29
:1,29
Now, list down the factors of 177
:1,3,59,177
Greatest Common Factor
We found the factors 25,29,177 . The biggest common factor number is the GCF number.
So the greatest common factor 25,29,177 is 1.
Lets's calculate LCM of 298,118,273
2 | 298, 118, 273 |
149, 59, 273 |
∴ So the LCM of the given numbers is 2 x 149 x 59 x 273 = 4799886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4799886
Therefore, the GCF of Fractions 25/298,29/118,177/273 is 1/4799886
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 298,118,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,118,273) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(298,118,273) x common factors =1 x 2 = 2
LCM(298,118,273) = ( 298 × 118 × 273 ) / 2
LCM(298,118,273) = 9599772 / 2
LCM(298,118,273) = 4799886
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,29,177?
The HCF of 25,29,177 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 25/298, 29/118, 177/273?
Answer: GCF of Numerators as per given numbers 25/298, 29/118, 177/273 is
GCF of Numerators i.e. for 25,29,177 is 1
LCM of denominators i.e. for 298,118,273 is 4799886.
Thus, GCF of Fractions is 1/4799886.Finally, GCF of Fractions for 25/298, 29/118, 177/273 is 1/4799886.