GCF of 3354/460, 4632/4163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3354/460, 4632/4163 i.e 6/83260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3354/460, 4632/4163.
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 3354/460,4632/4163?
Given fractions are 3354/460,4632/4163
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 3354/460,4632/4163, numerators are 3354,4632
Denominators are 460,4163
The GCF of 3354,4632 is 6 .
LCM of 460,4163 is 83260.
The greatest common factor of 3354/460,4632/4163 = [GCF of 3354,4632]/[LCM of 460,4163]= 6/83260
Therefore, the GCF of 3354/460,4632/4163 is 6/83260.
To find the highest common factor of 3354,4632, we have to find the factors of both numbers and list the highest common factor.
The factors of 3354 are 1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354
The factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632
The HCF of 3354,4632 is 6.
Lets's calculate GCF of 3354,4632
| 2 | 3354, 4632 |
| 3 | 1677, 2316 |
| 559, 772 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3354,4632 By Matching Biggest Common Factor Method
Now, list down the factors of 3354
:1,2,3,6,13,26,39,43,78,86,129,258,559,1118,1677,3354
Now, list down the factors of 4632
:1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632
Greatest Common Factor
We found the factors 3354,4632 . The biggest common factor number is the GCF number.
So the greatest common factor 3354,4632 is 6.
Lets's calculate LCM of 460,4163
| 23 | 460, 4163 |
| 20, 181 |
∴ So the LCM of the given numbers is 23 x 20 x 181 = 83260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/83260
Therefore, the GCF of Fractions 3354/460,4632/4163 is 6/83260
Least Common Multiple of 460,4163 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 460,4163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,4163) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(460,4163) x common factors =23 x 1 = 23
LCM(460,4163) = ( 460 × 4163 ) / 23
LCM(460,4163) = 1914980 / 23
LCM(460,4163) = 83260
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FAQs on GCF of Fractions of 3354/460, 4632/4163
1. What is the HCF of 3354,4632?
The HCF of 3354,4632 is 6
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 3354/460, 4632/4163?
Answer: GCF of Numerators as per given numbers 3354/460, 4632/4163 is
GCF of Numerators i.e. for 3354,4632 is 6
LCM of denominators i.e. for 460,4163 is 83260.
Thus, GCF of Fractions is 6/83260.Finally, GCF of Fractions for 3354/460, 4632/4163 is 6/83260.