GCF of 2477/519, 5445/258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2477/519, 5445/258 i.e 1/44634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2477/519, 5445/258.
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 2477/519,5445/258?
Given fractions are 2477/519,5445/258
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 2477/519,5445/258, numerators are 2477,5445
Denominators are 519,258
The GCF of 2477,5445 is 1 .
LCM of 519,258 is 44634.
The greatest common factor of 2477/519,5445/258 = [GCF of 2477,5445]/[LCM of 519,258]= 1/44634
Therefore, the GCF of 2477/519,5445/258 is 1/44634.
To find the highest common factor of 2477,5445, we have to find the factors of both numbers and list the highest common factor.
The factors of 2477 are 1, 2477
The factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445
The HCF of 2477,5445 is 1.
Lets's calculate GCF of 2477,5445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2477,5445 By Matching Biggest Common Factor Method
Now, list down the factors of 2477
:1,2477
Now, list down the factors of 5445
:1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
Greatest Common Factor
We found the factors 2477,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 2477,5445 is 1.
Lets's calculate LCM of 519,258
| 3 | 519, 258 |
| 173, 86 |
∴ So the LCM of the given numbers is 3 x 173 x 86 = 44634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44634
Therefore, the GCF of Fractions 2477/519,5445/258 is 1/44634
Least Common Multiple of 519,258 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 519,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,258) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,258) x common factors =3 x 1 = 3
LCM(519,258) = ( 519 × 258 ) / 3
LCM(519,258) = 133902 / 3
LCM(519,258) = 44634
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FAQs on GCF of Fractions of 2477/519, 5445/258
1. What is the HCF of 2477,5445?
The HCF of 2477,5445 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 2477/519, 5445/258?
Answer: GCF of Numerators as per given numbers 2477/519, 5445/258 is
GCF of Numerators i.e. for 2477,5445 is 1
LCM of denominators i.e. for 519,258 is 44634.
Thus, GCF of Fractions is 1/44634.Finally, GCF of Fractions for 2477/519, 5445/258 is 1/44634.