GCF of 575/25, 238/96, 514/38
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 575/25, 238/96, 514/38 i.e 1/45600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 575/25, 238/96, 514/38.
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 575/25,238/96,514/38?
Given fractions are 575/25,238/96,514/38
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 575/25,238/96,514/38, numerators are 575,238,514
Denominators are 25,96,38
The GCF of 575,238,514 is 1 .
LCM of 25,96,38 is 45600.
The greatest common factor of 575/25,238/96,514/38 = [GCF of 575,238,514]/[LCM of 25,96,38]= 1/45600
Therefore, the GCF of 575/25,238/96,514/38 is 1/45600.
To find the highest common factor of 575,238,514, we have to find the factors of both numbers and list the highest common factor.
The factors of 575 are 1, 5, 23, 25, 115, 575
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The factors of 514 are 1, 2, 257, 514
The HCF of 575,238,514 is 1.
Lets's calculate GCF of 575,238,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 575,238,514 By Matching Biggest Common Factor Method
Now, list down the factors of 575
:1,5,23,25,115,575
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 575,238,514 . The biggest common factor number is the GCF number.
So the greatest common factor 575,238,514 is 1.
Lets's calculate LCM of 25,96,38
| 2 | 25, 96, 38 |
| 25, 48, 19 |
∴ So the LCM of the given numbers is 2 x 25 x 48 x 19 = 45600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45600
Therefore, the GCF of Fractions 575/25,238/96,514/38 is 1/45600
Least Common Multiple of 25,96,38 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 25,96,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,96,38) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(25,96,38) x common factors =1 x 2 = 2
LCM(25,96,38) = ( 25 × 96 × 38 ) / 2
LCM(25,96,38) = 91200 / 2
LCM(25,96,38) = 45600
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FAQs on GCF of Fractions of 575/25, 238/96, 514/38
1. What is the HCF of 575,238,514?
The HCF of 575,238,514 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 575/25, 238/96, 514/38?
Answer: GCF of Numerators as per given numbers 575/25, 238/96, 514/38 is
GCF of Numerators i.e. for 575,238,514 is 1
LCM of denominators i.e. for 25,96,38 is 45600.
Thus, GCF of Fractions is 1/45600.Finally, GCF of Fractions for 575/25, 238/96, 514/38 is 1/45600.