GCF of 2302/304, 3366/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2302/304, 3366/284 i.e 2/21584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2302/304, 3366/284.
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 2302/304,3366/284?
Given fractions are 2302/304,3366/284
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 2302/304,3366/284, numerators are 2302,3366
Denominators are 304,284
The GCF of 2302,3366 is 2 .
LCM of 304,284 is 21584.
The greatest common factor of 2302/304,3366/284 = [GCF of 2302,3366]/[LCM of 304,284]= 2/21584
Therefore, the GCF of 2302/304,3366/284 is 2/21584.
To find the highest common factor of 2302,3366, we have to find the factors of both numbers and list the highest common factor.
The factors of 2302 are 1, 2, 1151, 2302
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 2302,3366 is 2.
Lets's calculate GCF of 2302,3366
| 2 | 2302, 3366 |
| 1151, 1683 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2302,3366 By Matching Biggest Common Factor Method
Now, list down the factors of 2302
:1,2,1151,2302
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 2302,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 2302,3366 is 2.
Lets's calculate LCM of 304,284
| 2 | 304, 284 |
| 2 | 152, 142 |
| 76, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 76 x 71 = 21584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21584
Therefore, the GCF of Fractions 2302/304,3366/284 is 2/21584
Least Common Multiple of 304,284 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 304,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,284) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(304,284) x common factors =4 x 1 = 4
LCM(304,284) = ( 304 × 284 ) / 4
LCM(304,284) = 86336 / 4
LCM(304,284) = 21584
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FAQs on GCF of Fractions of 2302/304, 3366/284
1. What is the HCF of 2302,3366?
The HCF of 2302,3366 is 2
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 2302/304, 3366/284?
Answer: GCF of Numerators as per given numbers 2302/304, 3366/284 is
GCF of Numerators i.e. for 2302,3366 is 2
LCM of denominators i.e. for 304,284 is 21584.
Thus, GCF of Fractions is 2/21584.Finally, GCF of Fractions for 2302/304, 3366/284 is 2/21584.