GCF of 5484/469, 4676/2818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5484/469, 4676/2818 i.e 4/1321642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5484/469, 4676/2818.
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 5484/469,4676/2818?
Given fractions are 5484/469,4676/2818
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 5484/469,4676/2818, numerators are 5484,4676
Denominators are 469,2818
The GCF of 5484,4676 is 4 .
LCM of 469,2818 is 1321642.
The greatest common factor of 5484/469,4676/2818 = [GCF of 5484,4676]/[LCM of 469,2818]= 4/1321642
Therefore, the GCF of 5484/469,4676/2818 is 4/1321642.
To find the highest common factor of 5484,4676, we have to find the factors of both numbers and list the highest common factor.
The factors of 5484 are 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484
The factors of 4676 are 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676
The HCF of 5484,4676 is 4.
Lets's calculate GCF of 5484,4676
| 2 | 5484, 4676 |
| 2 | 2742, 2338 |
| 1371, 1169 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5484,4676 By Matching Biggest Common Factor Method
Now, list down the factors of 5484
:1,2,3,4,6,12,457,914,1371,1828,2742,5484
Now, list down the factors of 4676
:1,2,4,7,14,28,167,334,668,1169,2338,4676
Greatest Common Factor
We found the factors 5484,4676 . The biggest common factor number is the GCF number.
So the greatest common factor 5484,4676 is 4.
Lets's calculate LCM of 469,2818
Given numbers has no common factors except 1. So, there LCM is their product i.e 1321642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1321642
Therefore, the GCF of Fractions 5484/469,4676/2818 is 4/1321642
Least Common Multiple of 469,2818 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 469,2818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,2818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,2818) x common factors =1 x 1 = 1
LCM(469,2818) = ( 469 × 2818 ) / 1
LCM(469,2818) = 1321642 / 1
LCM(469,2818) = 1321642
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FAQs on GCF of Fractions of 5484/469, 4676/2818
1. What is the HCF of 5484,4676?
The HCF of 5484,4676 is 4
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 5484/469, 4676/2818?
Answer: GCF of Numerators as per given numbers 5484/469, 4676/2818 is
GCF of Numerators i.e. for 5484,4676 is 4
LCM of denominators i.e. for 469,2818 is 1321642.
Thus, GCF of Fractions is 4/1321642.Finally, GCF of Fractions for 5484/469, 4676/2818 is 4/1321642.