GCF of 2425/660, 6831/7855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2425/660, 6831/7855 i.e 1/1036860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2425/660, 6831/7855.
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 2425/660,6831/7855?
Given fractions are 2425/660,6831/7855
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 2425/660,6831/7855, numerators are 2425,6831
Denominators are 660,7855
The GCF of 2425,6831 is 1 .
LCM of 660,7855 is 1036860.
The greatest common factor of 2425/660,6831/7855 = [GCF of 2425,6831]/[LCM of 660,7855]= 1/1036860
Therefore, the GCF of 2425/660,6831/7855 is 1/1036860.
To find the highest common factor of 2425,6831, 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 6831 are 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831
The HCF of 2425,6831 is 1.
Lets's calculate GCF of 2425,6831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2425,6831 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 6831
:1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831
Greatest Common Factor
We found the factors 2425,6831 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,6831 is 1.
Lets's calculate LCM of 660,7855
| 5 | 660, 7855 |
| 132, 1571 |
∴ So the LCM of the given numbers is 5 x 132 x 1571 = 1036860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1036860
Therefore, the GCF of Fractions 2425/660,6831/7855 is 1/1036860
Least Common Multiple of 660,7855 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 660,7855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,7855) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(660,7855) x common factors =5 x 1 = 5
LCM(660,7855) = ( 660 × 7855 ) / 5
LCM(660,7855) = 5184300 / 5
LCM(660,7855) = 1036860
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2425/660, 6831/7855
1. What is the HCF of 2425,6831?
The HCF of 2425,6831 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 2425/660, 6831/7855?
Answer: GCF of Numerators as per given numbers 2425/660, 6831/7855 is
GCF of Numerators i.e. for 2425,6831 is 1
LCM of denominators i.e. for 660,7855 is 1036860.
Thus, GCF of Fractions is 1/1036860.Finally, GCF of Fractions for 2425/660, 6831/7855 is 1/1036860.