GCF of 3336/441, 9780/2436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3336/441, 9780/2436 i.e 12/51156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3336/441, 9780/2436.
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 3336/441,9780/2436?
Given fractions are 3336/441,9780/2436
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 3336/441,9780/2436, numerators are 3336,9780
Denominators are 441,2436
The GCF of 3336,9780 is 12 .
LCM of 441,2436 is 51156.
The greatest common factor of 3336/441,9780/2436 = [GCF of 3336,9780]/[LCM of 441,2436]= 12/51156
Therefore, the GCF of 3336/441,9780/2436 is 12/51156.
To find the highest common factor of 3336,9780, we have to find the factors of both numbers and list the highest common factor.
The factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336
The factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780
The HCF of 3336,9780 is 12.
Lets's calculate GCF of 3336,9780
| 2 | 3336, 9780 |
| 2 | 1668, 4890 |
| 3 | 834, 2445 |
| 278, 815 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3336,9780 By Matching Biggest Common Factor Method
Now, list down the factors of 3336
:1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336
Now, list down the factors of 9780
:1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780
Greatest Common Factor
We found the factors 3336,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 3336,9780 is 12.
Lets's calculate LCM of 441,2436
| 3 | 441, 2436 |
| 7 | 147, 812 |
| 21, 116 |
∴ So the LCM of the given numbers is 3 x 7 x 21 x 116 = 51156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/51156
Therefore, the GCF of Fractions 3336/441,9780/2436 is 12/51156
Least Common Multiple of 441,2436 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 441,2436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,2436) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(441,2436) x common factors =21 x 1 = 21
LCM(441,2436) = ( 441 × 2436 ) / 21
LCM(441,2436) = 1074276 / 21
LCM(441,2436) = 51156
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FAQs on GCF of Fractions of 3336/441, 9780/2436
1. What is the HCF of 3336,9780?
The HCF of 3336,9780 is 12
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 3336/441, 9780/2436?
Answer: GCF of Numerators as per given numbers 3336/441, 9780/2436 is
GCF of Numerators i.e. for 3336,9780 is 12
LCM of denominators i.e. for 441,2436 is 51156.
Thus, GCF of Fractions is 12/51156.Finally, GCF of Fractions for 3336/441, 9780/2436 is 12/51156.