GCF of 3986/407, 9681/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3986/407, 9681/975 i.e 1/396825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3986/407, 9681/975.
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 3986/407,9681/975?
Given fractions are 3986/407,9681/975
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 3986/407,9681/975, numerators are 3986,9681
Denominators are 407,975
The GCF of 3986,9681 is 1 .
LCM of 407,975 is 396825.
The greatest common factor of 3986/407,9681/975 = [GCF of 3986,9681]/[LCM of 407,975]= 1/396825
Therefore, the GCF of 3986/407,9681/975 is 1/396825.
To find the highest common factor of 3986,9681, we have to find the factors of both numbers and list the highest common factor.
The factors of 3986 are 1, 2, 1993, 3986
The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681
The HCF of 3986,9681 is 1.
Lets's calculate GCF of 3986,9681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3986,9681 By Matching Biggest Common Factor Method
Now, list down the factors of 3986
:1,2,1993,3986
Now, list down the factors of 9681
:1,3,7,21,461,1383,3227,9681
Greatest Common Factor
We found the factors 3986,9681 . The biggest common factor number is the GCF number.
So the greatest common factor 3986,9681 is 1.
Lets's calculate LCM of 407,975
Given numbers has no common factors except 1. So, there LCM is their product i.e 396825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396825
Therefore, the GCF of Fractions 3986/407,9681/975 is 1/396825
Least Common Multiple of 407,975 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 407,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,975) x common factors =1 x 1 = 1
LCM(407,975) = ( 407 × 975 ) / 1
LCM(407,975) = 396825 / 1
LCM(407,975) = 396825
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FAQs on GCF of Fractions of 3986/407, 9681/975
1. What is the HCF of 3986,9681?
The HCF of 3986,9681 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 3986/407, 9681/975?
Answer: GCF of Numerators as per given numbers 3986/407, 9681/975 is
GCF of Numerators i.e. for 3986,9681 is 1
LCM of denominators i.e. for 407,975 is 396825.
Thus, GCF of Fractions is 1/396825.Finally, GCF of Fractions for 3986/407, 9681/975 is 1/396825.