GCF of 9938/497, 4115/4212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9938/497, 4115/4212 i.e 1/2093364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9938/497, 4115/4212.
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 9938/497,4115/4212?
Given fractions are 9938/497,4115/4212
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 9938/497,4115/4212, numerators are 9938,4115
Denominators are 497,4212
The GCF of 9938,4115 is 1 .
LCM of 497,4212 is 2093364.
The greatest common factor of 9938/497,4115/4212 = [GCF of 9938,4115]/[LCM of 497,4212]= 1/2093364
Therefore, the GCF of 9938/497,4115/4212 is 1/2093364.
To find the highest common factor of 9938,4115, we have to find the factors of both numbers and list the highest common factor.
The factors of 9938 are 1, 2, 4969, 9938
The factors of 4115 are 1, 5, 823, 4115
The HCF of 9938,4115 is 1.
Lets's calculate GCF of 9938,4115
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9938,4115 By Matching Biggest Common Factor Method
Now, list down the factors of 9938
:1,2,4969,9938
Now, list down the factors of 4115
:1,5,823,4115
Greatest Common Factor
We found the factors 9938,4115 . The biggest common factor number is the GCF number.
So the greatest common factor 9938,4115 is 1.
Lets's calculate LCM of 497,4212
Given numbers has no common factors except 1. So, there LCM is their product i.e 2093364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2093364
Therefore, the GCF of Fractions 9938/497,4115/4212 is 1/2093364
Least Common Multiple of 497,4212 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 497,4212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,4212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,4212) x common factors =1 x 1 = 1
LCM(497,4212) = ( 497 × 4212 ) / 1
LCM(497,4212) = 2093364 / 1
LCM(497,4212) = 2093364
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FAQs on GCF of Fractions of 9938/497, 4115/4212
1. What is the HCF of 9938,4115?
The HCF of 9938,4115 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 9938/497, 4115/4212?
Answer: GCF of Numerators as per given numbers 9938/497, 4115/4212 is
GCF of Numerators i.e. for 9938,4115 is 1
LCM of denominators i.e. for 497,4212 is 2093364.
Thus, GCF of Fractions is 1/2093364.Finally, GCF of Fractions for 9938/497, 4115/4212 is 1/2093364.