GCF of 1836/417, 9485/2146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1836/417, 9485/2146 i.e 1/894882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1836/417, 9485/2146.
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 1836/417,9485/2146?
Given fractions are 1836/417,9485/2146
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 1836/417,9485/2146, numerators are 1836,9485
Denominators are 417,2146
The GCF of 1836,9485 is 1 .
LCM of 417,2146 is 894882.
The greatest common factor of 1836/417,9485/2146 = [GCF of 1836,9485]/[LCM of 417,2146]= 1/894882
Therefore, the GCF of 1836/417,9485/2146 is 1/894882.
To find the highest common factor of 1836,9485, we have to find the factors of both numbers and list the highest common factor.
The factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836
The factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485
The HCF of 1836,9485 is 1.
Lets's calculate GCF of 1836,9485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1836,9485 By Matching Biggest Common Factor Method
Now, list down the factors of 1836
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Now, list down the factors of 9485
:1,5,7,35,271,1355,1897,9485
Greatest Common Factor
We found the factors 1836,9485 . The biggest common factor number is the GCF number.
So the greatest common factor 1836,9485 is 1.
Lets's calculate LCM of 417,2146
Given numbers has no common factors except 1. So, there LCM is their product i.e 894882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894882
Therefore, the GCF of Fractions 1836/417,9485/2146 is 1/894882
Least Common Multiple of 417,2146 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 417,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,2146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,2146) x common factors =1 x 1 = 1
LCM(417,2146) = ( 417 × 2146 ) / 1
LCM(417,2146) = 894882 / 1
LCM(417,2146) = 894882
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FAQs on GCF of Fractions of 1836/417, 9485/2146
1. What is the HCF of 1836,9485?
The HCF of 1836,9485 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 1836/417, 9485/2146?
Answer: GCF of Numerators as per given numbers 1836/417, 9485/2146 is
GCF of Numerators i.e. for 1836,9485 is 1
LCM of denominators i.e. for 417,2146 is 894882.
Thus, GCF of Fractions is 1/894882.Finally, GCF of Fractions for 1836/417, 9485/2146 is 1/894882.