GCF of 2425/487, 8828/6339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2425/487, 8828/6339 i.e 1/3087093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2425/487, 8828/6339.
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 2425/487,8828/6339?
Given fractions are 2425/487,8828/6339
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 2425/487,8828/6339, numerators are 2425,8828
Denominators are 487,6339
The GCF of 2425,8828 is 1 .
LCM of 487,6339 is 3087093.
The greatest common factor of 2425/487,8828/6339 = [GCF of 2425,8828]/[LCM of 487,6339]= 1/3087093
Therefore, the GCF of 2425/487,8828/6339 is 1/3087093.
To find the highest common factor of 2425,8828, we have to find the factors of both numbers and list the highest common factor.
The factors of 2425 are 1, 5, 25, 97, 485, 2425
The factors of 8828 are 1, 2, 4, 2207, 4414, 8828
The HCF of 2425,8828 is 1.
Lets's calculate GCF of 2425,8828
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2425,8828 By Matching Biggest Common Factor Method
Now, list down the factors of 2425
:1,5,25,97,485,2425
Now, list down the factors of 8828
:1,2,4,2207,4414,8828
Greatest Common Factor
We found the factors 2425,8828 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,8828 is 1.
Lets's calculate LCM of 487,6339
Given numbers has no common factors except 1. So, there LCM is their product i.e 3087093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3087093
Therefore, the GCF of Fractions 2425/487,8828/6339 is 1/3087093
Least Common Multiple of 487,6339 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 487,6339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,6339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,6339) x common factors =1 x 1 = 1
LCM(487,6339) = ( 487 × 6339 ) / 1
LCM(487,6339) = 3087093 / 1
LCM(487,6339) = 3087093
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2425/487, 8828/6339
1. What is the HCF of 2425,8828?
The HCF of 2425,8828 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 2425/487, 8828/6339?
Answer: GCF of Numerators as per given numbers 2425/487, 8828/6339 is
GCF of Numerators i.e. for 2425,8828 is 1
LCM of denominators i.e. for 487,6339 is 3087093.
Thus, GCF of Fractions is 1/3087093.Finally, GCF of Fractions for 2425/487, 8828/6339 is 1/3087093.