GCF of 9798/164, 2024/9629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9798/164, 2024/9629 i.e 46/1579156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9798/164, 2024/9629.
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 9798/164,2024/9629?
Given fractions are 9798/164,2024/9629
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 9798/164,2024/9629, numerators are 9798,2024
Denominators are 164,9629
The GCF of 9798,2024 is 46 .
LCM of 164,9629 is 1579156.
The greatest common factor of 9798/164,2024/9629 = [GCF of 9798,2024]/[LCM of 164,9629]= 46/1579156
Therefore, the GCF of 9798/164,2024/9629 is 46/1579156.
To find the highest common factor of 9798,2024, we have to find the factors of both numbers and list the highest common factor.
The factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798
The factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
The HCF of 9798,2024 is 46.
Lets's calculate GCF of 9798,2024
| 2 | 9798, 2024 |
| 23 | 4899, 1012 |
| 213, 44 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 9798,2024 By Matching Biggest Common Factor Method
Now, list down the factors of 9798
:1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798
Now, list down the factors of 2024
:1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Greatest Common Factor
We found the factors 9798,2024 . The biggest common factor number is the GCF number.
So the greatest common factor 9798,2024 is 46.
Lets's calculate LCM of 164,9629
Given numbers has no common factors except 1. So, there LCM is their product i.e 1579156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/1579156
Therefore, the GCF of Fractions 9798/164,2024/9629 is 46/1579156
Least Common Multiple of 164,9629 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 164,9629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,9629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,9629) x common factors =1 x 1 = 1
LCM(164,9629) = ( 164 × 9629 ) / 1
LCM(164,9629) = 1579156 / 1
LCM(164,9629) = 1579156
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9798/164, 2024/9629
1. What is the HCF of 9798,2024?
The HCF of 9798,2024 is 46
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 9798/164, 2024/9629?
Answer: GCF of Numerators as per given numbers 9798/164, 2024/9629 is
GCF of Numerators i.e. for 9798,2024 is 46
LCM of denominators i.e. for 164,9629 is 1579156.
Thus, GCF of Fractions is 46/1579156.Finally, GCF of Fractions for 9798/164, 2024/9629 is 46/1579156.