GCF of 2349/203, 4954/9995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2349/203, 4954/9995 i.e 1/2028985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2349/203, 4954/9995.
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 2349/203,4954/9995?
Given fractions are 2349/203,4954/9995
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 2349/203,4954/9995, numerators are 2349,4954
Denominators are 203,9995
The GCF of 2349,4954 is 1 .
LCM of 203,9995 is 2028985.
The greatest common factor of 2349/203,4954/9995 = [GCF of 2349,4954]/[LCM of 203,9995]= 1/2028985
Therefore, the GCF of 2349/203,4954/9995 is 1/2028985.
To find the highest common factor of 2349,4954, we have to find the factors of both numbers and list the highest common factor.
The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The factors of 4954 are 1, 2, 2477, 4954
The HCF of 2349,4954 is 1.
Lets's calculate GCF of 2349,4954
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2349,4954 By Matching Biggest Common Factor Method
Now, list down the factors of 2349
:1,3,9,27,29,81,87,261,783,2349
Now, list down the factors of 4954
:1,2,2477,4954
Greatest Common Factor
We found the factors 2349,4954 . The biggest common factor number is the GCF number.
So the greatest common factor 2349,4954 is 1.
Lets's calculate LCM of 203,9995
Given numbers has no common factors except 1. So, there LCM is their product i.e 2028985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2028985
Therefore, the GCF of Fractions 2349/203,4954/9995 is 1/2028985
Least Common Multiple of 203,9995 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 203,9995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,9995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,9995) x common factors =1 x 1 = 1
LCM(203,9995) = ( 203 × 9995 ) / 1
LCM(203,9995) = 2028985 / 1
LCM(203,9995) = 2028985
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2349/203, 4954/9995
1. What is the HCF of 2349,4954?
The HCF of 2349,4954 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 2349/203, 4954/9995?
Answer: GCF of Numerators as per given numbers 2349/203, 4954/9995 is
GCF of Numerators i.e. for 2349,4954 is 1
LCM of denominators i.e. for 203,9995 is 2028985.
Thus, GCF of Fractions is 1/2028985.Finally, GCF of Fractions for 2349/203, 4954/9995 is 1/2028985.