GCF of 9810/998, 8049/8754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9810/998, 8049/8754 i.e 3/4368246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9810/998, 8049/8754.
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 9810/998,8049/8754?
Given fractions are 9810/998,8049/8754
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 9810/998,8049/8754, numerators are 9810,8049
Denominators are 998,8754
The GCF of 9810,8049 is 3 .
LCM of 998,8754 is 4368246.
The greatest common factor of 9810/998,8049/8754 = [GCF of 9810,8049]/[LCM of 998,8754]= 3/4368246
Therefore, the GCF of 9810/998,8049/8754 is 3/4368246.
To find the highest common factor of 9810,8049, we have to find the factors of both numbers and list the highest common factor.
The factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810
The factors of 8049 are 1, 3, 2683, 8049
The HCF of 9810,8049 is 3.
Lets's calculate GCF of 9810,8049
| 3 | 9810, 8049 |
| 3270, 2683 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9810,8049 By Matching Biggest Common Factor Method
Now, list down the factors of 9810
:1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810
Now, list down the factors of 8049
:1,3,2683,8049
Greatest Common Factor
We found the factors 9810,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 9810,8049 is 3.
Lets's calculate LCM of 998,8754
| 2 | 998, 8754 |
| 499, 4377 |
∴ So the LCM of the given numbers is 2 x 499 x 4377 = 4368246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4368246
Therefore, the GCF of Fractions 9810/998,8049/8754 is 3/4368246
Least Common Multiple of 998,8754 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 998,8754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,8754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,8754) x common factors =2 x 1 = 2
LCM(998,8754) = ( 998 × 8754 ) / 2
LCM(998,8754) = 8736492 / 2
LCM(998,8754) = 4368246
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FAQs on GCF of Fractions of 9810/998, 8049/8754
1. What is the HCF of 9810,8049?
The HCF of 9810,8049 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 9810/998, 8049/8754?
Answer: GCF of Numerators as per given numbers 9810/998, 8049/8754 is
GCF of Numerators i.e. for 9810,8049 is 3
LCM of denominators i.e. for 998,8754 is 4368246.
Thus, GCF of Fractions is 3/4368246.Finally, GCF of Fractions for 9810/998, 8049/8754 is 3/4368246.