GCF of 4393/516, 5290/3276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4393/516, 5290/3276 i.e 23/140868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4393/516, 5290/3276.
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 4393/516,5290/3276?
Given fractions are 4393/516,5290/3276
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 4393/516,5290/3276, numerators are 4393,5290
Denominators are 516,3276
The GCF of 4393,5290 is 23 .
LCM of 516,3276 is 140868.
The greatest common factor of 4393/516,5290/3276 = [GCF of 4393,5290]/[LCM of 516,3276]= 23/140868
Therefore, the GCF of 4393/516,5290/3276 is 23/140868.
To find the highest common factor of 4393,5290, we have to find the factors of both numbers and list the highest common factor.
The factors of 4393 are 1, 23, 191, 4393
The factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290
The HCF of 4393,5290 is 23.
Lets's calculate GCF of 4393,5290
| 23 | 4393, 5290 |
| 191, 230 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4393,5290 By Matching Biggest Common Factor Method
Now, list down the factors of 4393
:1,23,191,4393
Now, list down the factors of 5290
:1,2,5,10,23,46,115,230,529,1058,2645,5290
Greatest Common Factor
We found the factors 4393,5290 . The biggest common factor number is the GCF number.
So the greatest common factor 4393,5290 is 23.
Lets's calculate LCM of 516,3276
| 2 | 516, 3276 |
| 2 | 258, 1638 |
| 3 | 129, 819 |
| 43, 273 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 273 = 140868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/140868
Therefore, the GCF of Fractions 4393/516,5290/3276 is 23/140868
Least Common Multiple of 516,3276 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 516,3276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,3276) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(516,3276) x common factors =12 x 1 = 12
LCM(516,3276) = ( 516 × 3276 ) / 12
LCM(516,3276) = 1690416 / 12
LCM(516,3276) = 140868
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FAQs on GCF of Fractions of 4393/516, 5290/3276
1. What is the HCF of 4393,5290?
The HCF of 4393,5290 is 23
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 4393/516, 5290/3276?
Answer: GCF of Numerators as per given numbers 4393/516, 5290/3276 is
GCF of Numerators i.e. for 4393,5290 is 23
LCM of denominators i.e. for 516,3276 is 140868.
Thus, GCF of Fractions is 23/140868.Finally, GCF of Fractions for 4393/516, 5290/3276 is 23/140868.