GCF of 25/258, 95/538, 586/138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/258, 95/538, 586/138 i.e 1/1596246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/258, 95/538, 586/138.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 25/258,95/538,586/138?
Given fractions are 25/258,95/538,586/138
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 25/258,95/538,586/138, numerators are 25,95,586
Denominators are 258,538,138
The GCF of 25,95,586 is 1 .
LCM of 258,538,138 is 1596246.
The greatest common factor of 25/258,95/538,586/138 = [GCF of 25,95,586]/[LCM of 258,538,138]= 1/1596246
Therefore, the GCF of 25/258,95/538,586/138 is 1/1596246.
To find the highest common factor of 25,95,586, 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 95 are 1, 5, 19, 95
The factors of 586 are 1, 2, 293, 586
The HCF of 25,95,586 is 1.
Lets's calculate GCF of 25,95,586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,95,586 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 586
:1,2,293,586
Greatest Common Factor
We found the factors 25,95,586 . The biggest common factor number is the GCF number.
So the greatest common factor 25,95,586 is 1.
Lets's calculate LCM of 258,538,138
| 2 | 258, 538, 138 |
| 3 | 129, 269, 69 |
| 43, 269, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 269 x 23 = 1596246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1596246
Therefore, the GCF of Fractions 25/258,95/538,586/138 is 1/1596246
Least Common Multiple of 258,538,138 with GCF Formula
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 258,538,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,538,138) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(258,538,138) x common factors =2 x 6 = 12
LCM(258,538,138) = ( 258 × 538 × 138 ) / 12
LCM(258,538,138) = 19154952 / 12
LCM(258,538,138) = 1596246
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 25/258, 95/538, 586/138
1. What is the HCF of 25,95,586?
The HCF of 25,95,586 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 25/258, 95/538, 586/138?
Answer: GCF of Numerators as per given numbers 25/258, 95/538, 586/138 is
GCF of Numerators i.e. for 25,95,586 is 1
LCM of denominators i.e. for 258,538,138 is 1596246.
Thus, GCF of Fractions is 1/1596246.Finally, GCF of Fractions for 25/258, 95/538, 586/138 is 1/1596246.