GCF of 2525/477, 5449/4089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2525/477, 5449/4089 i.e 1/650151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2525/477, 5449/4089.
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 2525/477,5449/4089?
Given fractions are 2525/477,5449/4089
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 2525/477,5449/4089, numerators are 2525,5449
Denominators are 477,4089
The GCF of 2525,5449 is 1 .
LCM of 477,4089 is 650151.
The greatest common factor of 2525/477,5449/4089 = [GCF of 2525,5449]/[LCM of 477,4089]= 1/650151
Therefore, the GCF of 2525/477,5449/4089 is 1/650151.
To find the highest common factor of 2525,5449, we have to find the factors of both numbers and list the highest common factor.
The factors of 2525 are 1, 5, 25, 101, 505, 2525
The factors of 5449 are 1, 5449
The HCF of 2525,5449 is 1.
Lets's calculate GCF of 2525,5449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2525,5449 By Matching Biggest Common Factor Method
Now, list down the factors of 2525
:1,5,25,101,505,2525
Now, list down the factors of 5449
:1,5449
Greatest Common Factor
We found the factors 2525,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 2525,5449 is 1.
Lets's calculate LCM of 477,4089
| 3 | 477, 4089 |
| 159, 1363 |
∴ So the LCM of the given numbers is 3 x 159 x 1363 = 650151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/650151
Therefore, the GCF of Fractions 2525/477,5449/4089 is 1/650151
Least Common Multiple of 477,4089 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 477,4089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,4089) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(477,4089) x common factors =3 x 1 = 3
LCM(477,4089) = ( 477 × 4089 ) / 3
LCM(477,4089) = 1950453 / 3
LCM(477,4089) = 650151
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FAQs on GCF of Fractions of 2525/477, 5449/4089
1. What is the HCF of 2525,5449?
The HCF of 2525,5449 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 2525/477, 5449/4089?
Answer: GCF of Numerators as per given numbers 2525/477, 5449/4089 is
GCF of Numerators i.e. for 2525,5449 is 1
LCM of denominators i.e. for 477,4089 is 650151.
Thus, GCF of Fractions is 1/650151.Finally, GCF of Fractions for 2525/477, 5449/4089 is 1/650151.