GCF of 5886/656, 4896/2035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5886/656, 4896/2035 i.e 18/1334960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5886/656, 4896/2035.
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 5886/656,4896/2035?
Given fractions are 5886/656,4896/2035
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 5886/656,4896/2035, numerators are 5886,4896
Denominators are 656,2035
The GCF of 5886,4896 is 18 .
LCM of 656,2035 is 1334960.
The greatest common factor of 5886/656,4896/2035 = [GCF of 5886,4896]/[LCM of 656,2035]= 18/1334960
Therefore, the GCF of 5886/656,4896/2035 is 18/1334960.
To find the highest common factor of 5886,4896, we have to find the factors of both numbers and list the highest common factor.
The factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886
The factors of 4896 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896
The HCF of 5886,4896 is 18.
Lets's calculate GCF of 5886,4896
| 2 | 5886, 4896 |
| 3 | 2943, 2448 |
| 3 | 981, 816 |
| 327, 272 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 5886,4896 By Matching Biggest Common Factor Method
Now, list down the factors of 5886
:1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Now, list down the factors of 4896
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896
Greatest Common Factor
We found the factors 5886,4896 . The biggest common factor number is the GCF number.
So the greatest common factor 5886,4896 is 18.
Lets's calculate LCM of 656,2035
Given numbers has no common factors except 1. So, there LCM is their product i.e 1334960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1334960
Therefore, the GCF of Fractions 5886/656,4896/2035 is 18/1334960
Least Common Multiple of 656,2035 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 656,2035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,2035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,2035) x common factors =1 x 1 = 1
LCM(656,2035) = ( 656 × 2035 ) / 1
LCM(656,2035) = 1334960 / 1
LCM(656,2035) = 1334960
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FAQs on GCF of Fractions of 5886/656, 4896/2035
1. What is the HCF of 5886,4896?
The HCF of 5886,4896 is 18
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 5886/656, 4896/2035?
Answer: GCF of Numerators as per given numbers 5886/656, 4896/2035 is
GCF of Numerators i.e. for 5886,4896 is 18
LCM of denominators i.e. for 656,2035 is 1334960.
Thus, GCF of Fractions is 18/1334960.Finally, GCF of Fractions for 5886/656, 4896/2035 is 18/1334960.