GCF of 25/605, 297/549, 860/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/605, 297/549, 860/305 i.e 1/332145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/605, 297/549, 860/305.
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 25/605,297/549,860/305?
Given fractions are 25/605,297/549,860/305
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 25/605,297/549,860/305, numerators are 25,297,860
Denominators are 605,549,305
The GCF of 25,297,860 is 1 .
LCM of 605,549,305 is 332145.
The greatest common factor of 25/605,297/549,860/305 = [GCF of 25,297,860]/[LCM of 605,549,305]= 1/332145
Therefore, the GCF of 25/605,297/549,860/305 is 1/332145.
To find the highest common factor of 25,297,860, 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 297 are 1, 3, 9, 11, 27, 33, 99, 297
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The HCF of 25,297,860 is 1.
Lets's calculate GCF of 25,297,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,297,860 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 25,297,860 . The biggest common factor number is the GCF number.
So the greatest common factor 25,297,860 is 1.
Lets's calculate LCM of 605,549,305
| 5 | 605, 549, 305 |
| 61 | 121, 549, 61 |
| 121, 9, 1 |
∴ So the LCM of the given numbers is 5 x 61 x 121 x 9 x 1 = 332145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332145
Therefore, the GCF of Fractions 25/605,297/549,860/305 is 1/332145
Least Common Multiple of 605,549,305 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 605,549,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,549,305) = 1
common factors(in case of two or more numbers have common factors) = 305
GCF(605,549,305) x common factors =1 x 305 = 305
LCM(605,549,305) = ( 605 × 549 × 305 ) / 305
LCM(605,549,305) = 101304225 / 305
LCM(605,549,305) = 332145
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 25/605, 297/549, 860/305
1. What is the HCF of 25,297,860?
The HCF of 25,297,860 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 25/605, 297/549, 860/305?
Answer: GCF of Numerators as per given numbers 25/605, 297/549, 860/305 is
GCF of Numerators i.e. for 25,297,860 is 1
LCM of denominators i.e. for 605,549,305 is 332145.
Thus, GCF of Fractions is 1/332145.Finally, GCF of Fractions for 25/605, 297/549, 860/305 is 1/332145.