GCF of 9468/441, 3366/5436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9468/441, 3366/5436 i.e 18/266364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9468/441, 3366/5436.
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 9468/441,3366/5436?
Given fractions are 9468/441,3366/5436
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 9468/441,3366/5436, numerators are 9468,3366
Denominators are 441,5436
The GCF of 9468,3366 is 18 .
LCM of 441,5436 is 266364.
The greatest common factor of 9468/441,3366/5436 = [GCF of 9468,3366]/[LCM of 441,5436]= 18/266364
Therefore, the GCF of 9468/441,3366/5436 is 18/266364.
To find the highest common factor of 9468,3366, we have to find the factors of both numbers and list the highest common factor.
The factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
The HCF of 9468,3366 is 18.
Lets's calculate GCF of 9468,3366
| 2 | 9468, 3366 |
| 3 | 4734, 1683 |
| 3 | 1578, 561 |
| 526, 187 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9468,3366 By Matching Biggest Common Factor Method
Now, list down the factors of 9468
:1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468
Now, list down the factors of 3366
:1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Greatest Common Factor
We found the factors 9468,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 9468,3366 is 18.
Lets's calculate LCM of 441,5436
| 3 | 441, 5436 |
| 3 | 147, 1812 |
| 49, 604 |
∴ So the LCM of the given numbers is 3 x 3 x 49 x 604 = 266364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/266364
Therefore, the GCF of Fractions 9468/441,3366/5436 is 18/266364
Least Common Multiple of 441,5436 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 441,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,5436) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(441,5436) x common factors =9 x 1 = 9
LCM(441,5436) = ( 441 × 5436 ) / 9
LCM(441,5436) = 2397276 / 9
LCM(441,5436) = 266364
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FAQs on GCF of Fractions of 9468/441, 3366/5436
1. What is the HCF of 9468,3366?
The HCF of 9468,3366 is 18
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 9468/441, 3366/5436?
Answer: GCF of Numerators as per given numbers 9468/441, 3366/5436 is
GCF of Numerators i.e. for 9468,3366 is 18
LCM of denominators i.e. for 441,5436 is 266364.
Thus, GCF of Fractions is 18/266364.Finally, GCF of Fractions for 9468/441, 3366/5436 is 18/266364.