GCF of 1643/230, 9846/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1643/230, 9846/927 i.e 1/213210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1643/230, 9846/927.
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 1643/230,9846/927?
Given fractions are 1643/230,9846/927
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 1643/230,9846/927, numerators are 1643,9846
Denominators are 230,927
The GCF of 1643,9846 is 1 .
LCM of 230,927 is 213210.
The greatest common factor of 1643/230,9846/927 = [GCF of 1643,9846]/[LCM of 230,927]= 1/213210
Therefore, the GCF of 1643/230,9846/927 is 1/213210.
To find the highest common factor of 1643,9846, we have to find the factors of both numbers and list the highest common factor.
The factors of 1643 are 1, 31, 53, 1643
The factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
The HCF of 1643,9846 is 1.
Lets's calculate GCF of 1643,9846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1643,9846 By Matching Biggest Common Factor Method
Now, list down the factors of 1643
:1,31,53,1643
Now, list down the factors of 9846
:1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Greatest Common Factor
We found the factors 1643,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 1643,9846 is 1.
Lets's calculate LCM of 230,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 213210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213210
Therefore, the GCF of Fractions 1643/230,9846/927 is 1/213210
Least Common Multiple of 230,927 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 230,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,927) x common factors =1 x 1 = 1
LCM(230,927) = ( 230 × 927 ) / 1
LCM(230,927) = 213210 / 1
LCM(230,927) = 213210
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FAQs on GCF of Fractions of 1643/230, 9846/927
1. What is the HCF of 1643,9846?
The HCF of 1643,9846 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 1643/230, 9846/927?
Answer: GCF of Numerators as per given numbers 1643/230, 9846/927 is
GCF of Numerators i.e. for 1643,9846 is 1
LCM of denominators i.e. for 230,927 is 213210.
Thus, GCF of Fractions is 1/213210.Finally, GCF of Fractions for 1643/230, 9846/927 is 1/213210.