GCF of 3228/132, 9409/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3228/132, 9409/548 i.e 1/18084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3228/132, 9409/548.
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 3228/132,9409/548?
Given fractions are 3228/132,9409/548
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 3228/132,9409/548, numerators are 3228,9409
Denominators are 132,548
The GCF of 3228,9409 is 1 .
LCM of 132,548 is 18084.
The greatest common factor of 3228/132,9409/548 = [GCF of 3228,9409]/[LCM of 132,548]= 1/18084
Therefore, the GCF of 3228/132,9409/548 is 1/18084.
To find the highest common factor of 3228,9409, we have to find the factors of both numbers and list the highest common factor.
The factors of 3228 are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228
The factors of 9409 are 1, 97, 9409
The HCF of 3228,9409 is 1.
Lets's calculate GCF of 3228,9409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3228,9409 By Matching Biggest Common Factor Method
Now, list down the factors of 3228
:1,2,3,4,6,12,269,538,807,1076,1614,3228
Now, list down the factors of 9409
:1,97,9409
Greatest Common Factor
We found the factors 3228,9409 . The biggest common factor number is the GCF number.
So the greatest common factor 3228,9409 is 1.
Lets's calculate LCM of 132,548
| 2 | 132, 548 |
| 2 | 66, 274 |
| 33, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 33 x 137 = 18084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18084
Therefore, the GCF of Fractions 3228/132,9409/548 is 1/18084
Least Common Multiple of 132,548 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 132,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(132,548) x common factors =4 x 1 = 4
LCM(132,548) = ( 132 × 548 ) / 4
LCM(132,548) = 72336 / 4
LCM(132,548) = 18084
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FAQs on GCF of Fractions of 3228/132, 9409/548
1. What is the HCF of 3228,9409?
The HCF of 3228,9409 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 3228/132, 9409/548?
Answer: GCF of Numerators as per given numbers 3228/132, 9409/548 is
GCF of Numerators i.e. for 3228,9409 is 1
LCM of denominators i.e. for 132,548 is 18084.
Thus, GCF of Fractions is 1/18084.Finally, GCF of Fractions for 3228/132, 9409/548 is 1/18084.