GCF of 2425/240, 8414/8433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2425/240, 8414/8433 i.e 1/674640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2425/240, 8414/8433.
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 2425/240,8414/8433?
Given fractions are 2425/240,8414/8433
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 2425/240,8414/8433, numerators are 2425,8414
Denominators are 240,8433
The GCF of 2425,8414 is 1 .
LCM of 240,8433 is 674640.
The greatest common factor of 2425/240,8414/8433 = [GCF of 2425,8414]/[LCM of 240,8433]= 1/674640
Therefore, the GCF of 2425/240,8414/8433 is 1/674640.
To find the highest common factor of 2425,8414, 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 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
The HCF of 2425,8414 is 1.
Lets's calculate GCF of 2425,8414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2425,8414 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 8414
:1,2,7,14,601,1202,4207,8414
Greatest Common Factor
We found the factors 2425,8414 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,8414 is 1.
Lets's calculate LCM of 240,8433
| 3 | 240, 8433 |
| 80, 2811 |
∴ So the LCM of the given numbers is 3 x 80 x 2811 = 674640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/674640
Therefore, the GCF of Fractions 2425/240,8414/8433 is 1/674640
Least Common Multiple of 240,8433 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 240,8433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,8433) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(240,8433) x common factors =3 x 1 = 3
LCM(240,8433) = ( 240 × 8433 ) / 3
LCM(240,8433) = 2023920 / 3
LCM(240,8433) = 674640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2425/240, 8414/8433
1. What is the HCF of 2425,8414?
The HCF of 2425,8414 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 2425/240, 8414/8433?
Answer: GCF of Numerators as per given numbers 2425/240, 8414/8433 is
GCF of Numerators i.e. for 2425,8414 is 1
LCM of denominators i.e. for 240,8433 is 674640.
Thus, GCF of Fractions is 1/674640.Finally, GCF of Fractions for 2425/240, 8414/8433 is 1/674640.