GCF of 3048/42, 9804/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3048/42, 9804/612 i.e 12/4284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3048/42, 9804/612.
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 3048/42,9804/612?
Given fractions are 3048/42,9804/612
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 3048/42,9804/612, numerators are 3048,9804
Denominators are 42,612
The GCF of 3048,9804 is 12 .
LCM of 42,612 is 4284.
The greatest common factor of 3048/42,9804/612 = [GCF of 3048,9804]/[LCM of 42,612]= 12/4284
Therefore, the GCF of 3048/42,9804/612 is 12/4284.
To find the highest common factor of 3048,9804, we have to find the factors of both numbers and list the highest common factor.
The factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048
The factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804
The HCF of 3048,9804 is 12.
Lets's calculate GCF of 3048,9804
| 2 | 3048, 9804 |
| 2 | 1524, 4902 |
| 3 | 762, 2451 |
| 254, 817 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3048,9804 By Matching Biggest Common Factor Method
Now, list down the factors of 3048
:1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048
Now, list down the factors of 9804
:1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Greatest Common Factor
We found the factors 3048,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 3048,9804 is 12.
Lets's calculate LCM of 42,612
| 2 | 42, 612 |
| 3 | 21, 306 |
| 7, 102 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 102 = 4284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4284
Therefore, the GCF of Fractions 3048/42,9804/612 is 12/4284
Least Common Multiple of 42,612 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 42,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,612) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(42,612) x common factors =6 x 1 = 6
LCM(42,612) = ( 42 × 612 ) / 6
LCM(42,612) = 25704 / 6
LCM(42,612) = 4284
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FAQs on GCF of Fractions of 3048/42, 9804/612
1. What is the HCF of 3048,9804?
The HCF of 3048,9804 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 3048/42, 9804/612?
Answer: GCF of Numerators as per given numbers 3048/42, 9804/612 is
GCF of Numerators i.e. for 3048,9804 is 12
LCM of denominators i.e. for 42,612 is 4284.
Thus, GCF of Fractions is 12/4284.Finally, GCF of Fractions for 3048/42, 9804/612 is 12/4284.