GCF of 9799/214, 2421/1186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9799/214, 2421/1186 i.e 1/126902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9799/214, 2421/1186.
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 9799/214,2421/1186?
Given fractions are 9799/214,2421/1186
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 9799/214,2421/1186, numerators are 9799,2421
Denominators are 214,1186
The GCF of 9799,2421 is 1 .
LCM of 214,1186 is 126902.
The greatest common factor of 9799/214,2421/1186 = [GCF of 9799,2421]/[LCM of 214,1186]= 1/126902
Therefore, the GCF of 9799/214,2421/1186 is 1/126902.
To find the highest common factor of 9799,2421, we have to find the factors of both numbers and list the highest common factor.
The factors of 9799 are 1, 41, 239, 9799
The factors of 2421 are 1, 3, 9, 269, 807, 2421
The HCF of 9799,2421 is 1.
Lets's calculate GCF of 9799,2421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9799,2421 By Matching Biggest Common Factor Method
Now, list down the factors of 9799
:1,41,239,9799
Now, list down the factors of 2421
:1,3,9,269,807,2421
Greatest Common Factor
We found the factors 9799,2421 . The biggest common factor number is the GCF number.
So the greatest common factor 9799,2421 is 1.
Lets's calculate LCM of 214,1186
| 2 | 214, 1186 |
| 107, 593 |
∴ So the LCM of the given numbers is 2 x 107 x 593 = 126902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126902
Therefore, the GCF of Fractions 9799/214,2421/1186 is 1/126902
Least Common Multiple of 214,1186 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 214,1186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,1186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,1186) x common factors =2 x 1 = 2
LCM(214,1186) = ( 214 × 1186 ) / 2
LCM(214,1186) = 253804 / 2
LCM(214,1186) = 126902
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9799/214, 2421/1186
1. What is the HCF of 9799,2421?
The HCF of 9799,2421 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 9799/214, 2421/1186?
Answer: GCF of Numerators as per given numbers 9799/214, 2421/1186 is
GCF of Numerators i.e. for 9799,2421 is 1
LCM of denominators i.e. for 214,1186 is 126902.
Thus, GCF of Fractions is 1/126902.Finally, GCF of Fractions for 9799/214, 2421/1186 is 1/126902.