GCF of 4983/296, 3408/5506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4983/296, 3408/5506 i.e 3/814888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4983/296, 3408/5506.
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 4983/296,3408/5506?
Given fractions are 4983/296,3408/5506
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 4983/296,3408/5506, numerators are 4983,3408
Denominators are 296,5506
The GCF of 4983,3408 is 3 .
LCM of 296,5506 is 814888.
The greatest common factor of 4983/296,3408/5506 = [GCF of 4983,3408]/[LCM of 296,5506]= 3/814888
Therefore, the GCF of 4983/296,3408/5506 is 3/814888.
To find the highest common factor of 4983,3408, we have to find the factors of both numbers and list the highest common factor.
The factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983
The factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408
The HCF of 4983,3408 is 3.
Lets's calculate GCF of 4983,3408
| 3 | 4983, 3408 |
| 1661, 1136 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4983,3408 By Matching Biggest Common Factor Method
Now, list down the factors of 4983
:1,3,11,33,151,453,1661,4983
Now, list down the factors of 3408
:1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408
Greatest Common Factor
We found the factors 4983,3408 . The biggest common factor number is the GCF number.
So the greatest common factor 4983,3408 is 3.
Lets's calculate LCM of 296,5506
| 2 | 296, 5506 |
| 148, 2753 |
∴ So the LCM of the given numbers is 2 x 148 x 2753 = 814888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/814888
Therefore, the GCF of Fractions 4983/296,3408/5506 is 3/814888
Least Common Multiple of 296,5506 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 296,5506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,5506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,5506) x common factors =2 x 1 = 2
LCM(296,5506) = ( 296 × 5506 ) / 2
LCM(296,5506) = 1629776 / 2
LCM(296,5506) = 814888
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FAQs on GCF of Fractions of 4983/296, 3408/5506
1. What is the HCF of 4983,3408?
The HCF of 4983,3408 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 4983/296, 3408/5506?
Answer: GCF of Numerators as per given numbers 4983/296, 3408/5506 is
GCF of Numerators i.e. for 4983,3408 is 3
LCM of denominators i.e. for 296,5506 is 814888.
Thus, GCF of Fractions is 3/814888.Finally, GCF of Fractions for 4983/296, 3408/5506 is 3/814888.