GCF of 2259/475, 2298/2024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2259/475, 2298/2024 i.e 3/961400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2259/475, 2298/2024.
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 2259/475,2298/2024?
Given fractions are 2259/475,2298/2024
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 2259/475,2298/2024, numerators are 2259,2298
Denominators are 475,2024
The GCF of 2259,2298 is 3 .
LCM of 475,2024 is 961400.
The greatest common factor of 2259/475,2298/2024 = [GCF of 2259,2298]/[LCM of 475,2024]= 3/961400
Therefore, the GCF of 2259/475,2298/2024 is 3/961400.
To find the highest common factor of 2259,2298, we have to find the factors of both numbers and list the highest common factor.
The factors of 2259 are 1, 3, 9, 251, 753, 2259
The factors of 2298 are 1, 2, 3, 6, 383, 766, 1149, 2298
The HCF of 2259,2298 is 3.
Lets's calculate GCF of 2259,2298
| 3 | 2259, 2298 |
| 753, 766 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2259,2298 By Matching Biggest Common Factor Method
Now, list down the factors of 2259
:1,3,9,251,753,2259
Now, list down the factors of 2298
:1,2,3,6,383,766,1149,2298
Greatest Common Factor
We found the factors 2259,2298 . The biggest common factor number is the GCF number.
So the greatest common factor 2259,2298 is 3.
Lets's calculate LCM of 475,2024
Given numbers has no common factors except 1. So, there LCM is their product i.e 961400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/961400
Therefore, the GCF of Fractions 2259/475,2298/2024 is 3/961400
Least Common Multiple of 475,2024 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 475,2024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,2024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,2024) x common factors =1 x 1 = 1
LCM(475,2024) = ( 475 × 2024 ) / 1
LCM(475,2024) = 961400 / 1
LCM(475,2024) = 961400
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FAQs on GCF of Fractions of 2259/475, 2298/2024
1. What is the HCF of 2259,2298?
The HCF of 2259,2298 is 3
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 2259/475, 2298/2024?
Answer: GCF of Numerators as per given numbers 2259/475, 2298/2024 is
GCF of Numerators i.e. for 2259,2298 is 3
LCM of denominators i.e. for 475,2024 is 961400.
Thus, GCF of Fractions is 3/961400.Finally, GCF of Fractions for 2259/475, 2298/2024 is 3/961400.