GCF of 1864/243, 1005/3606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1864/243, 1005/3606 i.e 1/292086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1864/243, 1005/3606.
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 1864/243,1005/3606?
Given fractions are 1864/243,1005/3606
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 1864/243,1005/3606, numerators are 1864,1005
Denominators are 243,3606
The GCF of 1864,1005 is 1 .
LCM of 243,3606 is 292086.
The greatest common factor of 1864/243,1005/3606 = [GCF of 1864,1005]/[LCM of 243,3606]= 1/292086
Therefore, the GCF of 1864/243,1005/3606 is 1/292086.
To find the highest common factor of 1864,1005, we have to find the factors of both numbers and list the highest common factor.
The factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
The HCF of 1864,1005 is 1.
Lets's calculate GCF of 1864,1005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1864,1005 By Matching Biggest Common Factor Method
Now, list down the factors of 1864
:1,2,4,8,233,466,932,1864
Now, list down the factors of 1005
:1,3,5,15,67,201,335,1005
Greatest Common Factor
We found the factors 1864,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 1864,1005 is 1.
Lets's calculate LCM of 243,3606
| 3 | 243, 3606 |
| 81, 1202 |
∴ So the LCM of the given numbers is 3 x 81 x 1202 = 292086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292086
Therefore, the GCF of Fractions 1864/243,1005/3606 is 1/292086
Least Common Multiple of 243,3606 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 243,3606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,3606) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,3606) x common factors =3 x 1 = 3
LCM(243,3606) = ( 243 × 3606 ) / 3
LCM(243,3606) = 876258 / 3
LCM(243,3606) = 292086
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FAQs on GCF of Fractions of 1864/243, 1005/3606
1. What is the HCF of 1864,1005?
The HCF of 1864,1005 is 1
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 1864/243, 1005/3606?
Answer: GCF of Numerators as per given numbers 1864/243, 1005/3606 is
GCF of Numerators i.e. for 1864,1005 is 1
LCM of denominators i.e. for 243,3606 is 292086.
Thus, GCF of Fractions is 1/292086.Finally, GCF of Fractions for 1864/243, 1005/3606 is 1/292086.