GCF of 7857/486, 5484/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7857/486, 5484/228 i.e 3/18468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7857/486, 5484/228.
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 7857/486,5484/228?
Given fractions are 7857/486,5484/228
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 7857/486,5484/228, numerators are 7857,5484
Denominators are 486,228
The GCF of 7857,5484 is 3 .
LCM of 486,228 is 18468.
The greatest common factor of 7857/486,5484/228 = [GCF of 7857,5484]/[LCM of 486,228]= 3/18468
Therefore, the GCF of 7857/486,5484/228 is 3/18468.
To find the highest common factor of 7857,5484, we have to find the factors of both numbers and list the highest common factor.
The factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857
The factors of 5484 are 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484
The HCF of 7857,5484 is 3.
Lets's calculate GCF of 7857,5484
| 3 | 7857, 5484 |
| 2619, 1828 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7857,5484 By Matching Biggest Common Factor Method
Now, list down the factors of 7857
:1,3,9,27,81,97,291,873,2619,7857
Now, list down the factors of 5484
:1,2,3,4,6,12,457,914,1371,1828,2742,5484
Greatest Common Factor
We found the factors 7857,5484 . The biggest common factor number is the GCF number.
So the greatest common factor 7857,5484 is 3.
Lets's calculate LCM of 486,228
| 2 | 486, 228 |
| 3 | 243, 114 |
| 81, 38 |
∴ So the LCM of the given numbers is 2 x 3 x 81 x 38 = 18468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18468
Therefore, the GCF of Fractions 7857/486,5484/228 is 3/18468
Least Common Multiple of 486,228 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 486,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,228) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(486,228) x common factors =6 x 1 = 6
LCM(486,228) = ( 486 × 228 ) / 6
LCM(486,228) = 110808 / 6
LCM(486,228) = 18468
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FAQs on GCF of Fractions of 7857/486, 5484/228
1. What is the HCF of 7857,5484?
The HCF of 7857,5484 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 7857/486, 5484/228?
Answer: GCF of Numerators as per given numbers 7857/486, 5484/228 is
GCF of Numerators i.e. for 7857,5484 is 3
LCM of denominators i.e. for 486,228 is 18468.
Thus, GCF of Fractions is 3/18468.Finally, GCF of Fractions for 7857/486, 5484/228 is 3/18468.