GCF of 8985/204, 2142/9683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8985/204, 2142/9683 i.e 3/1975332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8985/204, 2142/9683.
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 8985/204,2142/9683?
Given fractions are 8985/204,2142/9683
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 8985/204,2142/9683, numerators are 8985,2142
Denominators are 204,9683
The GCF of 8985,2142 is 3 .
LCM of 204,9683 is 1975332.
The greatest common factor of 8985/204,2142/9683 = [GCF of 8985,2142]/[LCM of 204,9683]= 3/1975332
Therefore, the GCF of 8985/204,2142/9683 is 3/1975332.
To find the highest common factor of 8985,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 8985,2142 is 3.
Lets's calculate GCF of 8985,2142
| 3 | 8985, 2142 |
| 2995, 714 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8985,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 8985
:1,3,5,15,599,1797,2995,8985
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 8985,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 8985,2142 is 3.
Lets's calculate LCM of 204,9683
Given numbers has no common factors except 1. So, there LCM is their product i.e 1975332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1975332
Therefore, the GCF of Fractions 8985/204,2142/9683 is 3/1975332
Least Common Multiple of 204,9683 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 204,9683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,9683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,9683) x common factors =1 x 1 = 1
LCM(204,9683) = ( 204 × 9683 ) / 1
LCM(204,9683) = 1975332 / 1
LCM(204,9683) = 1975332
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8985/204, 2142/9683
1. What is the HCF of 8985,2142?
The HCF of 8985,2142 is 3
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 8985/204, 2142/9683?
Answer: GCF of Numerators as per given numbers 8985/204, 2142/9683 is
GCF of Numerators i.e. for 8985,2142 is 3
LCM of denominators i.e. for 204,9683 is 1975332.
Thus, GCF of Fractions is 3/1975332.Finally, GCF of Fractions for 8985/204, 2142/9683 is 3/1975332.