GCF of 4909/193, 8836/2069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4909/193, 8836/2069 i.e 1/399317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4909/193, 8836/2069.
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 4909/193,8836/2069?
Given fractions are 4909/193,8836/2069
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 4909/193,8836/2069, numerators are 4909,8836
Denominators are 193,2069
The GCF of 4909,8836 is 1 .
LCM of 193,2069 is 399317.
The greatest common factor of 4909/193,8836/2069 = [GCF of 4909,8836]/[LCM of 193,2069]= 1/399317
Therefore, the GCF of 4909/193,8836/2069 is 1/399317.
To find the highest common factor of 4909,8836, we have to find the factors of both numbers and list the highest common factor.
The factors of 4909 are 1, 4909
The factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836
The HCF of 4909,8836 is 1.
Lets's calculate GCF of 4909,8836
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4909,8836 By Matching Biggest Common Factor Method
Now, list down the factors of 4909
:1,4909
Now, list down the factors of 8836
:1,2,4,47,94,188,2209,4418,8836
Greatest Common Factor
We found the factors 4909,8836 . The biggest common factor number is the GCF number.
So the greatest common factor 4909,8836 is 1.
Lets's calculate LCM of 193,2069
Given numbers has no common factors except 1. So, there LCM is their product i.e 399317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399317
Therefore, the GCF of Fractions 4909/193,8836/2069 is 1/399317
Least Common Multiple of 193,2069 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 193,2069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,2069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,2069) x common factors =1 x 1 = 1
LCM(193,2069) = ( 193 × 2069 ) / 1
LCM(193,2069) = 399317 / 1
LCM(193,2069) = 399317
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FAQs on GCF of Fractions of 4909/193, 8836/2069
1. What is the HCF of 4909,8836?
The HCF of 4909,8836 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 4909/193, 8836/2069?
Answer: GCF of Numerators as per given numbers 4909/193, 8836/2069 is
GCF of Numerators i.e. for 4909,8836 is 1
LCM of denominators i.e. for 193,2069 is 399317.
Thus, GCF of Fractions is 1/399317.Finally, GCF of Fractions for 4909/193, 8836/2069 is 1/399317.