GCF of 5545/408, 3066/2822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5545/408, 3066/2822 i.e 1/33864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5545/408, 3066/2822.
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 5545/408,3066/2822?
Given fractions are 5545/408,3066/2822
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 5545/408,3066/2822, numerators are 5545,3066
Denominators are 408,2822
The GCF of 5545,3066 is 1 .
LCM of 408,2822 is 33864.
The greatest common factor of 5545/408,3066/2822 = [GCF of 5545,3066]/[LCM of 408,2822]= 1/33864
Therefore, the GCF of 5545/408,3066/2822 is 1/33864.
To find the highest common factor of 5545,3066, we have to find the factors of both numbers and list the highest common factor.
The factors of 5545 are 1, 5, 1109, 5545
The factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
The HCF of 5545,3066 is 1.
Lets's calculate GCF of 5545,3066
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5545,3066 By Matching Biggest Common Factor Method
Now, list down the factors of 5545
:1,5,1109,5545
Now, list down the factors of 3066
:1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Greatest Common Factor
We found the factors 5545,3066 . The biggest common factor number is the GCF number.
So the greatest common factor 5545,3066 is 1.
Lets's calculate LCM of 408,2822
| 2 | 408, 2822 |
| 17 | 204, 1411 |
| 12, 83 |
∴ So the LCM of the given numbers is 2 x 17 x 12 x 83 = 33864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33864
Therefore, the GCF of Fractions 5545/408,3066/2822 is 1/33864
Least Common Multiple of 408,2822 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 408,2822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,2822) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(408,2822) x common factors =34 x 1 = 34
LCM(408,2822) = ( 408 × 2822 ) / 34
LCM(408,2822) = 1151376 / 34
LCM(408,2822) = 33864
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FAQs on GCF of Fractions of 5545/408, 3066/2822
1. What is the HCF of 5545,3066?
The HCF of 5545,3066 is 1
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 5545/408, 3066/2822?
Answer: GCF of Numerators as per given numbers 5545/408, 3066/2822 is
GCF of Numerators i.e. for 5545,3066 is 1
LCM of denominators i.e. for 408,2822 is 33864.
Thus, GCF of Fractions is 1/33864.Finally, GCF of Fractions for 5545/408, 3066/2822 is 1/33864.