GCF of 6612/304, 4606/684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6612/304, 4606/684 i.e 2/2736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6612/304, 4606/684.
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 6612/304,4606/684?
Given fractions are 6612/304,4606/684
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 6612/304,4606/684, numerators are 6612,4606
Denominators are 304,684
The GCF of 6612,4606 is 2 .
LCM of 304,684 is 2736.
The greatest common factor of 6612/304,4606/684 = [GCF of 6612,4606]/[LCM of 304,684]= 2/2736
Therefore, the GCF of 6612/304,4606/684 is 2/2736.
To find the highest common factor of 6612,4606, we have to find the factors of both numbers and list the highest common factor.
The factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The HCF of 6612,4606 is 2.
Lets's calculate GCF of 6612,4606
| 2 | 6612, 4606 |
| 3306, 2303 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6612,4606 By Matching Biggest Common Factor Method
Now, list down the factors of 6612
:1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Greatest Common Factor
We found the factors 6612,4606 . The biggest common factor number is the GCF number.
So the greatest common factor 6612,4606 is 2.
Lets's calculate LCM of 304,684
| 2 | 304, 684 |
| 2 | 152, 342 |
| 19 | 76, 171 |
| 4, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 4 x 9 = 2736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2736
Therefore, the GCF of Fractions 6612/304,4606/684 is 2/2736
Least Common Multiple of 304,684 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 304,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,684) = 76
common factors(in case of two or more numbers have common factors) = 1
GCF(304,684) x common factors =76 x 1 = 76
LCM(304,684) = ( 304 × 684 ) / 76
LCM(304,684) = 207936 / 76
LCM(304,684) = 2736
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FAQs on GCF of Fractions of 6612/304, 4606/684
1. What is the HCF of 6612,4606?
The HCF of 6612,4606 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 6612/304, 4606/684?
Answer: GCF of Numerators as per given numbers 6612/304, 4606/684 is
GCF of Numerators i.e. for 6612,4606 is 2
LCM of denominators i.e. for 304,684 is 2736.
Thus, GCF of Fractions is 2/2736.Finally, GCF of Fractions for 6612/304, 4606/684 is 2/2736.