GCF of 3586/817, 2189/3600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3586/817, 2189/3600 i.e 11/2941200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3586/817, 2189/3600.
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 3586/817,2189/3600?
Given fractions are 3586/817,2189/3600
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 3586/817,2189/3600, numerators are 3586,2189
Denominators are 817,3600
The GCF of 3586,2189 is 11 .
LCM of 817,3600 is 2941200.
The greatest common factor of 3586/817,2189/3600 = [GCF of 3586,2189]/[LCM of 817,3600]= 11/2941200
Therefore, the GCF of 3586/817,2189/3600 is 11/2941200.
To find the highest common factor of 3586,2189, we have to find the factors of both numbers and list the highest common factor.
The factors of 3586 are 1, 2, 11, 22, 163, 326, 1793, 3586
The factors of 2189 are 1, 11, 199, 2189
The HCF of 3586,2189 is 11.
Lets's calculate GCF of 3586,2189
| 11 | 3586, 2189 |
| 326, 199 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3586,2189 By Matching Biggest Common Factor Method
Now, list down the factors of 3586
:1,2,11,22,163,326,1793,3586
Now, list down the factors of 2189
:1,11,199,2189
Greatest Common Factor
We found the factors 3586,2189 . The biggest common factor number is the GCF number.
So the greatest common factor 3586,2189 is 11.
Lets's calculate LCM of 817,3600
Given numbers has no common factors except 1. So, there LCM is their product i.e 2941200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2941200
Therefore, the GCF of Fractions 3586/817,2189/3600 is 11/2941200
Least Common Multiple of 817,3600 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 817,3600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,3600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,3600) x common factors =1 x 1 = 1
LCM(817,3600) = ( 817 × 3600 ) / 1
LCM(817,3600) = 2941200 / 1
LCM(817,3600) = 2941200
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FAQs on GCF of Fractions of 3586/817, 2189/3600
1. What is the HCF of 3586,2189?
The HCF of 3586,2189 is 11
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 3586/817, 2189/3600?
Answer: GCF of Numerators as per given numbers 3586/817, 2189/3600 is
GCF of Numerators i.e. for 3586,2189 is 11
LCM of denominators i.e. for 817,3600 is 2941200.
Thus, GCF of Fractions is 11/2941200.Finally, GCF of Fractions for 3586/817, 2189/3600 is 11/2941200.