GCF of 3309/221, 9053/2924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3309/221, 9053/2924 i.e 1/38012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3309/221, 9053/2924.
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 3309/221,9053/2924?
Given fractions are 3309/221,9053/2924
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 3309/221,9053/2924, numerators are 3309,9053
Denominators are 221,2924
The GCF of 3309,9053 is 1 .
LCM of 221,2924 is 38012.
The greatest common factor of 3309/221,9053/2924 = [GCF of 3309,9053]/[LCM of 221,2924]= 1/38012
Therefore, the GCF of 3309/221,9053/2924 is 1/38012.
To find the highest common factor of 3309,9053, we have to find the factors of both numbers and list the highest common factor.
The factors of 3309 are 1, 3, 1103, 3309
The factors of 9053 are 1, 11, 823, 9053
The HCF of 3309,9053 is 1.
Lets's calculate GCF of 3309,9053
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3309,9053 By Matching Biggest Common Factor Method
Now, list down the factors of 3309
:1,3,1103,3309
Now, list down the factors of 9053
:1,11,823,9053
Greatest Common Factor
We found the factors 3309,9053 . The biggest common factor number is the GCF number.
So the greatest common factor 3309,9053 is 1.
Lets's calculate LCM of 221,2924
| 17 | 221, 2924 |
| 13, 172 |
∴ So the LCM of the given numbers is 17 x 13 x 172 = 38012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38012
Therefore, the GCF of Fractions 3309/221,9053/2924 is 1/38012
Least Common Multiple of 221,2924 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 221,2924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,2924) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(221,2924) x common factors =17 x 1 = 17
LCM(221,2924) = ( 221 × 2924 ) / 17
LCM(221,2924) = 646204 / 17
LCM(221,2924) = 38012
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FAQs on GCF of Fractions of 3309/221, 9053/2924
1. What is the HCF of 3309,9053?
The HCF of 3309,9053 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 3309/221, 9053/2924?
Answer: GCF of Numerators as per given numbers 3309/221, 9053/2924 is
GCF of Numerators i.e. for 3309,9053 is 1
LCM of denominators i.e. for 221,2924 is 38012.
Thus, GCF of Fractions is 1/38012.Finally, GCF of Fractions for 3309/221, 9053/2924 is 1/38012.