GCF of 95/26, 25/16, 499/875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/26, 25/16, 499/875 i.e 1/182000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/26, 25/16, 499/875.
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 95/26,25/16,499/875?
Given fractions are 95/26,25/16,499/875
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 95/26,25/16,499/875, numerators are 95,25,499
Denominators are 26,16,875
The GCF of 95,25,499 is 1 .
LCM of 26,16,875 is 182000.
The greatest common factor of 95/26,25/16,499/875 = [GCF of 95,25,499]/[LCM of 26,16,875]= 1/182000
Therefore, the GCF of 95/26,25/16,499/875 is 1/182000.
To find the highest common factor of 95,25,499, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 25 are 1, 5, 25
The factors of 499 are 1, 499
The HCF of 95,25,499 is 1.
Lets's calculate GCF of 95,25,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,25,499 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 499
:1,499
Greatest Common Factor
We found the factors 95,25,499 . The biggest common factor number is the GCF number.
So the greatest common factor 95,25,499 is 1.
Lets's calculate LCM of 26,16,875
| 2 | 26, 16, 875 |
| 13, 8, 875 |
∴ So the LCM of the given numbers is 2 x 13 x 8 x 875 = 182000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182000
Therefore, the GCF of Fractions 95/26,25/16,499/875 is 1/182000
Least Common Multiple of 26,16,875 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 26,16,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,16,875) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,16,875) x common factors =1 x 2 = 2
LCM(26,16,875) = ( 26 × 16 × 875 ) / 2
LCM(26,16,875) = 364000 / 2
LCM(26,16,875) = 182000
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 95/26, 25/16, 499/875
1. What is the HCF of 95,25,499?
The HCF of 95,25,499 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 95/26, 25/16, 499/875?
Answer: GCF of Numerators as per given numbers 95/26, 25/16, 499/875 is
GCF of Numerators i.e. for 95,25,499 is 1
LCM of denominators i.e. for 26,16,875 is 182000.
Thus, GCF of Fractions is 1/182000.Finally, GCF of Fractions for 95/26, 25/16, 499/875 is 1/182000.