GCF of 25/765, 516/703, 205/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/765, 516/703, 205/993 i.e 1/178010145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/765, 516/703, 205/993.
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 25/765,516/703,205/993?
Given fractions are 25/765,516/703,205/993
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 25/765,516/703,205/993, numerators are 25,516,205
Denominators are 765,703,993
The GCF of 25,516,205 is 1 .
LCM of 765,703,993 is 178010145.
The greatest common factor of 25/765,516/703,205/993 = [GCF of 25,516,205]/[LCM of 765,703,993]= 1/178010145
Therefore, the GCF of 25/765,516/703,205/993 is 1/178010145.
To find the highest common factor of 25,516,205, 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 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
The factors of 205 are 1, 5, 41, 205
The HCF of 25,516,205 is 1.
Lets's calculate GCF of 25,516,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,516,205 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 516
:1,2,3,4,6,12,43,86,129,172,258,516
Now, list down the factors of 205
:1,5,41,205
Greatest Common Factor
We found the factors 25,516,205 . The biggest common factor number is the GCF number.
So the greatest common factor 25,516,205 is 1.
Lets's calculate LCM of 765,703,993
| 3 | 765, 703, 993 |
| 255, 703, 331 |
∴ So the LCM of the given numbers is 3 x 255 x 703 x 331 = 178010145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178010145
Therefore, the GCF of Fractions 25/765,516/703,205/993 is 1/178010145
Least Common Multiple of 765,703,993 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 765,703,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,703,993) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(765,703,993) x common factors =1 x 3 = 3
LCM(765,703,993) = ( 765 × 703 × 993 ) / 3
LCM(765,703,993) = 534030435 / 3
LCM(765,703,993) = 178010145
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 25/765, 516/703, 205/993
1. What is the HCF of 25,516,205?
The HCF of 25,516,205 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 25/765, 516/703, 205/993?
Answer: GCF of Numerators as per given numbers 25/765, 516/703, 205/993 is
GCF of Numerators i.e. for 25,516,205 is 1
LCM of denominators i.e. for 765,703,993 is 178010145.
Thus, GCF of Fractions is 1/178010145.Finally, GCF of Fractions for 25/765, 516/703, 205/993 is 1/178010145.