GCF of 5690/990, 3855/3324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5690/990, 3855/3324 i.e 5/548460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5690/990, 3855/3324.
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 5690/990,3855/3324?
Given fractions are 5690/990,3855/3324
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 5690/990,3855/3324, numerators are 5690,3855
Denominators are 990,3324
The GCF of 5690,3855 is 5 .
LCM of 990,3324 is 548460.
The greatest common factor of 5690/990,3855/3324 = [GCF of 5690,3855]/[LCM of 990,3324]= 5/548460
Therefore, the GCF of 5690/990,3855/3324 is 5/548460.
To find the highest common factor of 5690,3855, we have to find the factors of both numbers and list the highest common factor.
The factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690
The factors of 3855 are 1, 3, 5, 15, 257, 771, 1285, 3855
The HCF of 5690,3855 is 5.
Lets's calculate GCF of 5690,3855
| 5 | 5690, 3855 |
| 1138, 771 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5690,3855 By Matching Biggest Common Factor Method
Now, list down the factors of 5690
:1,2,5,10,569,1138,2845,5690
Now, list down the factors of 3855
:1,3,5,15,257,771,1285,3855
Greatest Common Factor
We found the factors 5690,3855 . The biggest common factor number is the GCF number.
So the greatest common factor 5690,3855 is 5.
Lets's calculate LCM of 990,3324
| 2 | 990, 3324 |
| 3 | 495, 1662 |
| 165, 554 |
∴ So the LCM of the given numbers is 2 x 3 x 165 x 554 = 548460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/548460
Therefore, the GCF of Fractions 5690/990,3855/3324 is 5/548460
Least Common Multiple of 990,3324 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 990,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,3324) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(990,3324) x common factors =6 x 1 = 6
LCM(990,3324) = ( 990 × 3324 ) / 6
LCM(990,3324) = 3290760 / 6
LCM(990,3324) = 548460
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FAQs on GCF of Fractions of 5690/990, 3855/3324
1. What is the HCF of 5690,3855?
The HCF of 5690,3855 is 5
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 5690/990, 3855/3324?
Answer: GCF of Numerators as per given numbers 5690/990, 3855/3324 is
GCF of Numerators i.e. for 5690,3855 is 5
LCM of denominators i.e. for 990,3324 is 548460.
Thus, GCF of Fractions is 5/548460.Finally, GCF of Fractions for 5690/990, 3855/3324 is 5/548460.