GCF of 4833/659, 4116/6182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4833/659, 4116/6182 i.e 3/4073938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4833/659, 4116/6182.
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 4833/659,4116/6182?
Given fractions are 4833/659,4116/6182
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 4833/659,4116/6182, numerators are 4833,4116
Denominators are 659,6182
The GCF of 4833,4116 is 3 .
LCM of 659,6182 is 4073938.
The greatest common factor of 4833/659,4116/6182 = [GCF of 4833,4116]/[LCM of 659,6182]= 3/4073938
Therefore, the GCF of 4833/659,4116/6182 is 3/4073938.
To find the highest common factor of 4833,4116, we have to find the factors of both numbers and list the highest common factor.
The factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833
The factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
The HCF of 4833,4116 is 3.
Lets's calculate GCF of 4833,4116
| 3 | 4833, 4116 |
| 1611, 1372 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4833,4116 By Matching Biggest Common Factor Method
Now, list down the factors of 4833
:1,3,9,27,179,537,1611,4833
Now, list down the factors of 4116
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Greatest Common Factor
We found the factors 4833,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 4833,4116 is 3.
Lets's calculate LCM of 659,6182
Given numbers has no common factors except 1. So, there LCM is their product i.e 4073938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4073938
Therefore, the GCF of Fractions 4833/659,4116/6182 is 3/4073938
Least Common Multiple of 659,6182 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 659,6182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,6182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,6182) x common factors =1 x 1 = 1
LCM(659,6182) = ( 659 × 6182 ) / 1
LCM(659,6182) = 4073938 / 1
LCM(659,6182) = 4073938
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FAQs on GCF of Fractions of 4833/659, 4116/6182
1. What is the HCF of 4833,4116?
The HCF of 4833,4116 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 4833/659, 4116/6182?
Answer: GCF of Numerators as per given numbers 4833/659, 4116/6182 is
GCF of Numerators i.e. for 4833,4116 is 3
LCM of denominators i.e. for 659,6182 is 4073938.
Thus, GCF of Fractions is 3/4073938.Finally, GCF of Fractions for 4833/659, 4116/6182 is 3/4073938.