GCF of 2043/352, 9162/3831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2043/352, 9162/3831 i.e 9/1348512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2043/352, 9162/3831.
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 2043/352,9162/3831?
Given fractions are 2043/352,9162/3831
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 2043/352,9162/3831, numerators are 2043,9162
Denominators are 352,3831
The GCF of 2043,9162 is 9 .
LCM of 352,3831 is 1348512.
The greatest common factor of 2043/352,9162/3831 = [GCF of 2043,9162]/[LCM of 352,3831]= 9/1348512
Therefore, the GCF of 2043/352,9162/3831 is 9/1348512.
To find the highest common factor of 2043,9162, we have to find the factors of both numbers and list the highest common factor.
The factors of 2043 are 1, 3, 9, 227, 681, 2043
The factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162
The HCF of 2043,9162 is 9.
Lets's calculate GCF of 2043,9162
| 3 | 2043, 9162 |
| 3 | 681, 3054 |
| 227, 1018 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2043,9162 By Matching Biggest Common Factor Method
Now, list down the factors of 2043
:1,3,9,227,681,2043
Now, list down the factors of 9162
:1,2,3,6,9,18,509,1018,1527,3054,4581,9162
Greatest Common Factor
We found the factors 2043,9162 . The biggest common factor number is the GCF number.
So the greatest common factor 2043,9162 is 9.
Lets's calculate LCM of 352,3831
Given numbers has no common factors except 1. So, there LCM is their product i.e 1348512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1348512
Therefore, the GCF of Fractions 2043/352,9162/3831 is 9/1348512
Least Common Multiple of 352,3831 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 352,3831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,3831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(352,3831) x common factors =1 x 1 = 1
LCM(352,3831) = ( 352 × 3831 ) / 1
LCM(352,3831) = 1348512 / 1
LCM(352,3831) = 1348512
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FAQs on GCF of Fractions of 2043/352, 9162/3831
1. What is the HCF of 2043,9162?
The HCF of 2043,9162 is 9
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 2043/352, 9162/3831?
Answer: GCF of Numerators as per given numbers 2043/352, 9162/3831 is
GCF of Numerators i.e. for 2043,9162 is 9
LCM of denominators i.e. for 352,3831 is 1348512.
Thus, GCF of Fractions is 9/1348512.Finally, GCF of Fractions for 2043/352, 9162/3831 is 9/1348512.