GCF of 258/888, 2387/929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 258/888, 2387/929 i.e 1/824952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 258/888, 2387/929.
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 258/888,2387/929?
Given fractions are 258/888,2387/929
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 258/888,2387/929, numerators are 258,2387
Denominators are 888,929
The GCF of 258,2387 is 1 .
LCM of 888,929 is 824952.
The greatest common factor of 258/888,2387/929 = [GCF of 258,2387]/[LCM of 888,929]= 1/824952
Therefore, the GCF of 258/888,2387/929 is 1/824952.
To find the highest common factor of 258,2387, we have to find the factors of both numbers and list the highest common factor.
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The factors of 2387 are 1, 7, 11, 31, 77, 217, 341, 2387
The HCF of 258,2387 is 1.
Lets's calculate GCF of 258,2387
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 258,2387 By Matching Biggest Common Factor Method
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Now, list down the factors of 2387
:1,7,11,31,77,217,341,2387
Greatest Common Factor
We found the factors 258,2387 . The biggest common factor number is the GCF number.
So the greatest common factor 258,2387 is 1.
Lets's calculate LCM of 888,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 824952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824952
Therefore, the GCF of Fractions 258/888,2387/929 is 1/824952
Least Common Multiple of 888,929 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 888,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(888,929) x common factors =1 x 1 = 1
LCM(888,929) = ( 888 × 929 ) / 1
LCM(888,929) = 824952 / 1
LCM(888,929) = 824952
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 258/888, 2387/929
1. What is the HCF of 258,2387?
The HCF of 258,2387 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 258/888, 2387/929?
Answer: GCF of Numerators as per given numbers 258/888, 2387/929 is
GCF of Numerators i.e. for 258,2387 is 1
LCM of denominators i.e. for 888,929 is 824952.
Thus, GCF of Fractions is 1/824952.Finally, GCF of Fractions for 258/888, 2387/929 is 1/824952.