GCF of 6588/354, 2104/5367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6588/354, 2104/5367 i.e 4/633306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6588/354, 2104/5367.
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 6588/354,2104/5367?
Given fractions are 6588/354,2104/5367
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 6588/354,2104/5367, numerators are 6588,2104
Denominators are 354,5367
The GCF of 6588,2104 is 4 .
LCM of 354,5367 is 633306.
The greatest common factor of 6588/354,2104/5367 = [GCF of 6588,2104]/[LCM of 354,5367]= 4/633306
Therefore, the GCF of 6588/354,2104/5367 is 4/633306.
To find the highest common factor of 6588,2104, we have to find the factors of both numbers and list the highest common factor.
The factors of 6588 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 108, 122, 183, 244, 366, 549, 732, 1098, 1647, 2196, 3294, 6588
The factors of 2104 are 1, 2, 4, 8, 263, 526, 1052, 2104
The HCF of 6588,2104 is 4.
Lets's calculate GCF of 6588,2104
| 2 | 6588, 2104 |
| 2 | 3294, 1052 |
| 1647, 526 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6588,2104 By Matching Biggest Common Factor Method
Now, list down the factors of 6588
:1,2,3,4,6,9,12,18,27,36,54,61,108,122,183,244,366,549,732,1098,1647,2196,3294,6588
Now, list down the factors of 2104
:1,2,4,8,263,526,1052,2104
Greatest Common Factor
We found the factors 6588,2104 . The biggest common factor number is the GCF number.
So the greatest common factor 6588,2104 is 4.
Lets's calculate LCM of 354,5367
| 3 | 354, 5367 |
| 118, 1789 |
∴ So the LCM of the given numbers is 3 x 118 x 1789 = 633306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/633306
Therefore, the GCF of Fractions 6588/354,2104/5367 is 4/633306
Least Common Multiple of 354,5367 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 354,5367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,5367) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,5367) x common factors =3 x 1 = 3
LCM(354,5367) = ( 354 × 5367 ) / 3
LCM(354,5367) = 1899918 / 3
LCM(354,5367) = 633306
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FAQs on GCF of Fractions of 6588/354, 2104/5367
1. What is the HCF of 6588,2104?
The HCF of 6588,2104 is 4
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 6588/354, 2104/5367?
Answer: GCF of Numerators as per given numbers 6588/354, 2104/5367 is
GCF of Numerators i.e. for 6588,2104 is 4
LCM of denominators i.e. for 354,5367 is 633306.
Thus, GCF of Fractions is 4/633306.Finally, GCF of Fractions for 6588/354, 2104/5367 is 4/633306.