GCF of 6497/198, 4386/4931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6497/198, 4386/4931 i.e 1/976338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6497/198, 4386/4931.
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 6497/198,4386/4931?
Given fractions are 6497/198,4386/4931
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 6497/198,4386/4931, numerators are 6497,4386
Denominators are 198,4931
The GCF of 6497,4386 is 1 .
LCM of 198,4931 is 976338.
The greatest common factor of 6497/198,4386/4931 = [GCF of 6497,4386]/[LCM of 198,4931]= 1/976338
Therefore, the GCF of 6497/198,4386/4931 is 1/976338.
To find the highest common factor of 6497,4386, we have to find the factors of both numbers and list the highest common factor.
The factors of 6497 are 1, 73, 89, 6497
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The HCF of 6497,4386 is 1.
Lets's calculate GCF of 6497,4386
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6497,4386 By Matching Biggest Common Factor Method
Now, list down the factors of 6497
:1,73,89,6497
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Greatest Common Factor
We found the factors 6497,4386 . The biggest common factor number is the GCF number.
So the greatest common factor 6497,4386 is 1.
Lets's calculate LCM of 198,4931
Given numbers has no common factors except 1. So, there LCM is their product i.e 976338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/976338
Therefore, the GCF of Fractions 6497/198,4386/4931 is 1/976338
Least Common Multiple of 198,4931 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 198,4931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,4931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(198,4931) x common factors =1 x 1 = 1
LCM(198,4931) = ( 198 × 4931 ) / 1
LCM(198,4931) = 976338 / 1
LCM(198,4931) = 976338
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FAQs on GCF of Fractions of 6497/198, 4386/4931
1. What is the HCF of 6497,4386?
The HCF of 6497,4386 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 6497/198, 4386/4931?
Answer: GCF of Numerators as per given numbers 6497/198, 4386/4931 is
GCF of Numerators i.e. for 6497,4386 is 1
LCM of denominators i.e. for 198,4931 is 976338.
Thus, GCF of Fractions is 1/976338.Finally, GCF of Fractions for 6497/198, 4386/4931 is 1/976338.