GCF of 3213/261, 8904/1308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3213/261, 8904/1308 i.e 21/113796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3213/261, 8904/1308.
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 3213/261,8904/1308?
Given fractions are 3213/261,8904/1308
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 3213/261,8904/1308, numerators are 3213,8904
Denominators are 261,1308
The GCF of 3213,8904 is 21 .
LCM of 261,1308 is 113796.
The greatest common factor of 3213/261,8904/1308 = [GCF of 3213,8904]/[LCM of 261,1308]= 21/113796
Therefore, the GCF of 3213/261,8904/1308 is 21/113796.
To find the highest common factor of 3213,8904, we have to find the factors of both numbers and list the highest common factor.
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904
The HCF of 3213,8904 is 21.
Lets's calculate GCF of 3213,8904
| 3 | 3213, 8904 |
| 7 | 1071, 2968 |
| 153, 424 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 3213,8904 By Matching Biggest Common Factor Method
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Now, list down the factors of 8904
:1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904
Greatest Common Factor
We found the factors 3213,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 3213,8904 is 21.
Lets's calculate LCM of 261,1308
| 3 | 261, 1308 |
| 87, 436 |
∴ So the LCM of the given numbers is 3 x 87 x 436 = 113796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/113796
Therefore, the GCF of Fractions 3213/261,8904/1308 is 21/113796
Least Common Multiple of 261,1308 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 261,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,1308) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,1308) x common factors =3 x 1 = 3
LCM(261,1308) = ( 261 × 1308 ) / 3
LCM(261,1308) = 341388 / 3
LCM(261,1308) = 113796
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FAQs on GCF of Fractions of 3213/261, 8904/1308
1. What is the HCF of 3213,8904?
The HCF of 3213,8904 is 21
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 3213/261, 8904/1308?
Answer: GCF of Numerators as per given numbers 3213/261, 8904/1308 is
GCF of Numerators i.e. for 3213,8904 is 21
LCM of denominators i.e. for 261,1308 is 113796.
Thus, GCF of Fractions is 21/113796.Finally, GCF of Fractions for 3213/261, 8904/1308 is 21/113796.