GCF of 2024/199, 9775/8557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2024/199, 9775/8557 i.e 23/8557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2024/199, 9775/8557.
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 2024/199,9775/8557?
Given fractions are 2024/199,9775/8557
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 2024/199,9775/8557, numerators are 2024,9775
Denominators are 199,8557
The GCF of 2024,9775 is 23 .
LCM of 199,8557 is 8557.
The greatest common factor of 2024/199,9775/8557 = [GCF of 2024,9775]/[LCM of 199,8557]= 23/8557
Therefore, the GCF of 2024/199,9775/8557 is 23/8557.
To find the highest common factor of 2024,9775, we have to find the factors of both numbers and list the highest common factor.
The factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775
The HCF of 2024,9775 is 23.
Lets's calculate GCF of 2024,9775
| 23 | 2024, 9775 |
| 88, 425 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 2024,9775 By Matching Biggest Common Factor Method
Now, list down the factors of 2024
:1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Now, list down the factors of 9775
:1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors 2024,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 2024,9775 is 23.
Lets's calculate LCM of 199,8557
| 199 | 199, 8557 |
| 1, 43 |
∴ So the LCM of the given numbers is 199 x 1 x 43 = 8557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/8557
Therefore, the GCF of Fractions 2024/199,9775/8557 is 23/8557
Least Common Multiple of 199,8557 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 199,8557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,8557) = 199
common factors(in case of two or more numbers have common factors) = 1
GCF(199,8557) x common factors =199 x 1 = 199
LCM(199,8557) = ( 199 × 8557 ) / 199
LCM(199,8557) = 1702843 / 199
LCM(199,8557) = 8557
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FAQs on GCF of Fractions of 2024/199, 9775/8557
1. What is the HCF of 2024,9775?
The HCF of 2024,9775 is 23
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 2024/199, 9775/8557?
Answer: GCF of Numerators as per given numbers 2024/199, 9775/8557 is
GCF of Numerators i.e. for 2024,9775 is 23
LCM of denominators i.e. for 199,8557 is 8557.
Thus, GCF of Fractions is 23/8557.Finally, GCF of Fractions for 2024/199, 9775/8557 is 23/8557.