GCF of 389/29, 794/9937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 389/29, 794/9937 i.e 1/288173 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/29, 794/9937.
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 389/29,794/9937?
Given fractions are 389/29,794/9937
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 389/29,794/9937, numerators are 389,794
Denominators are 29,9937
The GCF of 389,794 is 1 .
LCM of 29,9937 is 288173.
The greatest common factor of 389/29,794/9937 = [GCF of 389,794]/[LCM of 29,9937]= 1/288173
Therefore, the GCF of 389/29,794/9937 is 1/288173.
To find the highest common factor of 389,794, we have to find the factors of both numbers and list the highest common factor.
The factors of 389 are 1, 389
The factors of 794 are 1, 2, 397, 794
The HCF of 389,794 is 1.
Lets's calculate GCF of 389,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 389,794 By Matching Biggest Common Factor Method
Now, list down the factors of 389
:1,389
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 389,794 . The biggest common factor number is the GCF number.
So the greatest common factor 389,794 is 1.
Lets's calculate LCM of 29,9937
Given numbers has no common factors except 1. So, there LCM is their product i.e 288173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288173
Therefore, the GCF of Fractions 389/29,794/9937 is 1/288173
Least Common Multiple of 29,9937 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 29,9937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,9937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,9937) x common factors =1 x 1 = 1
LCM(29,9937) = ( 29 × 9937 ) / 1
LCM(29,9937) = 288173 / 1
LCM(29,9937) = 288173
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FAQs on GCF of Fractions of 389/29, 794/9937
1. What is the HCF of 389,794?
The HCF of 389,794 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 389/29, 794/9937?
Answer: GCF of Numerators as per given numbers 389/29, 794/9937 is
GCF of Numerators i.e. for 389,794 is 1
LCM of denominators i.e. for 29,9937 is 288173.
Thus, GCF of Fractions is 1/288173.Finally, GCF of Fractions for 389/29, 794/9937 is 1/288173.