GCF of 3981/907, 4060/3118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3981/907, 4060/3118 i.e 1/2828026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3981/907, 4060/3118.
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 3981/907,4060/3118?
Given fractions are 3981/907,4060/3118
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 3981/907,4060/3118, numerators are 3981,4060
Denominators are 907,3118
The GCF of 3981,4060 is 1 .
LCM of 907,3118 is 2828026.
The greatest common factor of 3981/907,4060/3118 = [GCF of 3981,4060]/[LCM of 907,3118]= 1/2828026
Therefore, the GCF of 3981/907,4060/3118 is 1/2828026.
To find the highest common factor of 3981,4060, we have to find the factors of both numbers and list the highest common factor.
The factors of 3981 are 1, 3, 1327, 3981
The factors of 4060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060
The HCF of 3981,4060 is 1.
Lets's calculate GCF of 3981,4060
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3981,4060 By Matching Biggest Common Factor Method
Now, list down the factors of 3981
:1,3,1327,3981
Now, list down the factors of 4060
:1,2,4,5,7,10,14,20,28,29,35,58,70,116,140,145,203,290,406,580,812,1015,2030,4060
Greatest Common Factor
We found the factors 3981,4060 . The biggest common factor number is the GCF number.
So the greatest common factor 3981,4060 is 1.
Lets's calculate LCM of 907,3118
Given numbers has no common factors except 1. So, there LCM is their product i.e 2828026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2828026
Therefore, the GCF of Fractions 3981/907,4060/3118 is 1/2828026
Least Common Multiple of 907,3118 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 907,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,3118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,3118) x common factors =1 x 1 = 1
LCM(907,3118) = ( 907 × 3118 ) / 1
LCM(907,3118) = 2828026 / 1
LCM(907,3118) = 2828026
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FAQs on GCF of Fractions of 3981/907, 4060/3118
1. What is the HCF of 3981,4060?
The HCF of 3981,4060 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 3981/907, 4060/3118?
Answer: GCF of Numerators as per given numbers 3981/907, 4060/3118 is
GCF of Numerators i.e. for 3981,4060 is 1
LCM of denominators i.e. for 907,3118 is 2828026.
Thus, GCF of Fractions is 1/2828026.Finally, GCF of Fractions for 3981/907, 4060/3118 is 1/2828026.