GCF of 2154/585, 4845/3949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2154/585, 4845/3949 i.e 3/2310165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2154/585, 4845/3949.
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 2154/585,4845/3949?
Given fractions are 2154/585,4845/3949
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 2154/585,4845/3949, numerators are 2154,4845
Denominators are 585,3949
The GCF of 2154,4845 is 3 .
LCM of 585,3949 is 2310165.
The greatest common factor of 2154/585,4845/3949 = [GCF of 2154,4845]/[LCM of 585,3949]= 3/2310165
Therefore, the GCF of 2154/585,4845/3949 is 3/2310165.
To find the highest common factor of 2154,4845, we have to find the factors of both numbers and list the highest common factor.
The factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154
The factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845
The HCF of 2154,4845 is 3.
Lets's calculate GCF of 2154,4845
| 3 | 2154, 4845 |
| 718, 1615 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2154,4845 By Matching Biggest Common Factor Method
Now, list down the factors of 2154
:1,2,3,6,359,718,1077,2154
Now, list down the factors of 4845
:1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Greatest Common Factor
We found the factors 2154,4845 . The biggest common factor number is the GCF number.
So the greatest common factor 2154,4845 is 3.
Lets's calculate LCM of 585,3949
Given numbers has no common factors except 1. So, there LCM is their product i.e 2310165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2310165
Therefore, the GCF of Fractions 2154/585,4845/3949 is 3/2310165
Least Common Multiple of 585,3949 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 585,3949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,3949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,3949) x common factors =1 x 1 = 1
LCM(585,3949) = ( 585 × 3949 ) / 1
LCM(585,3949) = 2310165 / 1
LCM(585,3949) = 2310165
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FAQs on GCF of Fractions of 2154/585, 4845/3949
1. What is the HCF of 2154,4845?
The HCF of 2154,4845 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 2154/585, 4845/3949?
Answer: GCF of Numerators as per given numbers 2154/585, 4845/3949 is
GCF of Numerators i.e. for 2154,4845 is 3
LCM of denominators i.e. for 585,3949 is 2310165.
Thus, GCF of Fractions is 3/2310165.Finally, GCF of Fractions for 2154/585, 4845/3949 is 3/2310165.