GCF of 3011/131, 3040/290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3011/131, 3040/290 i.e 1/37990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3011/131, 3040/290.
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 3011/131,3040/290?
Given fractions are 3011/131,3040/290
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 3011/131,3040/290, numerators are 3011,3040
Denominators are 131,290
The GCF of 3011,3040 is 1 .
LCM of 131,290 is 37990.
The greatest common factor of 3011/131,3040/290 = [GCF of 3011,3040]/[LCM of 131,290]= 1/37990
Therefore, the GCF of 3011/131,3040/290 is 1/37990.
To find the highest common factor of 3011,3040, we have to find the factors of both numbers and list the highest common factor.
The factors of 3011 are 1, 3011
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
The HCF of 3011,3040 is 1.
Lets's calculate GCF of 3011,3040
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3011,3040 By Matching Biggest Common Factor Method
Now, list down the factors of 3011
:1,3011
Now, list down the factors of 3040
:1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Greatest Common Factor
We found the factors 3011,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 3011,3040 is 1.
Lets's calculate LCM of 131,290
Given numbers has no common factors except 1. So, there LCM is their product i.e 37990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37990
Therefore, the GCF of Fractions 3011/131,3040/290 is 1/37990
Least Common Multiple of 131,290 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 131,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,290) x common factors =1 x 1 = 1
LCM(131,290) = ( 131 × 290 ) / 1
LCM(131,290) = 37990 / 1
LCM(131,290) = 37990
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FAQs on GCF of Fractions of 3011/131, 3040/290
1. What is the HCF of 3011,3040?
The HCF of 3011,3040 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 3011/131, 3040/290?
Answer: GCF of Numerators as per given numbers 3011/131, 3040/290 is
GCF of Numerators i.e. for 3011,3040 is 1
LCM of denominators i.e. for 131,290 is 37990.
Thus, GCF of Fractions is 1/37990.Finally, GCF of Fractions for 3011/131, 3040/290 is 1/37990.