GCF of 3044/529, 4878/4979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3044/529, 4878/4979 i.e 2/2633891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3044/529, 4878/4979.
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 3044/529,4878/4979?
Given fractions are 3044/529,4878/4979
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 3044/529,4878/4979, numerators are 3044,4878
Denominators are 529,4979
The GCF of 3044,4878 is 2 .
LCM of 529,4979 is 2633891.
The greatest common factor of 3044/529,4878/4979 = [GCF of 3044,4878]/[LCM of 529,4979]= 2/2633891
Therefore, the GCF of 3044/529,4878/4979 is 2/2633891.
To find the highest common factor of 3044,4878, we have to find the factors of both numbers and list the highest common factor.
The factors of 3044 are 1, 2, 4, 761, 1522, 3044
The factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878
The HCF of 3044,4878 is 2.
Lets's calculate GCF of 3044,4878
| 2 | 3044, 4878 |
| 1522, 2439 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3044,4878 By Matching Biggest Common Factor Method
Now, list down the factors of 3044
:1,2,4,761,1522,3044
Now, list down the factors of 4878
:1,2,3,6,9,18,271,542,813,1626,2439,4878
Greatest Common Factor
We found the factors 3044,4878 . The biggest common factor number is the GCF number.
So the greatest common factor 3044,4878 is 2.
Lets's calculate LCM of 529,4979
Given numbers has no common factors except 1. So, there LCM is their product i.e 2633891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2633891
Therefore, the GCF of Fractions 3044/529,4878/4979 is 2/2633891
Least Common Multiple of 529,4979 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 529,4979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,4979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,4979) x common factors =1 x 1 = 1
LCM(529,4979) = ( 529 × 4979 ) / 1
LCM(529,4979) = 2633891 / 1
LCM(529,4979) = 2633891
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FAQs on GCF of Fractions of 3044/529, 4878/4979
1. What is the HCF of 3044,4878?
The HCF of 3044,4878 is 2
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 3044/529, 4878/4979?
Answer: GCF of Numerators as per given numbers 3044/529, 4878/4979 is
GCF of Numerators i.e. for 3044,4878 is 2
LCM of denominators i.e. for 529,4979 is 2633891.
Thus, GCF of Fractions is 2/2633891.Finally, GCF of Fractions for 3044/529, 4878/4979 is 2/2633891.