GCF of 8047/467, 1913/7661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8047/467, 1913/7661 i.e 1/3577687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8047/467, 1913/7661.
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 8047/467,1913/7661?
Given fractions are 8047/467,1913/7661
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 8047/467,1913/7661, numerators are 8047,1913
Denominators are 467,7661
The GCF of 8047,1913 is 1 .
LCM of 467,7661 is 3577687.
The greatest common factor of 8047/467,1913/7661 = [GCF of 8047,1913]/[LCM of 467,7661]= 1/3577687
Therefore, the GCF of 8047/467,1913/7661 is 1/3577687.
To find the highest common factor of 8047,1913, we have to find the factors of both numbers and list the highest common factor.
The factors of 8047 are 1, 13, 619, 8047
The factors of 1913 are 1, 1913
The HCF of 8047,1913 is 1.
Lets's calculate GCF of 8047,1913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8047,1913 By Matching Biggest Common Factor Method
Now, list down the factors of 8047
:1,13,619,8047
Now, list down the factors of 1913
:1,1913
Greatest Common Factor
We found the factors 8047,1913 . The biggest common factor number is the GCF number.
So the greatest common factor 8047,1913 is 1.
Lets's calculate LCM of 467,7661
Given numbers has no common factors except 1. So, there LCM is their product i.e 3577687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3577687
Therefore, the GCF of Fractions 8047/467,1913/7661 is 1/3577687
Least Common Multiple of 467,7661 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 467,7661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,7661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,7661) x common factors =1 x 1 = 1
LCM(467,7661) = ( 467 × 7661 ) / 1
LCM(467,7661) = 3577687 / 1
LCM(467,7661) = 3577687
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8047/467, 1913/7661
1. What is the HCF of 8047,1913?
The HCF of 8047,1913 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 8047/467, 1913/7661?
Answer: GCF of Numerators as per given numbers 8047/467, 1913/7661 is
GCF of Numerators i.e. for 8047,1913 is 1
LCM of denominators i.e. for 467,7661 is 3577687.
Thus, GCF of Fractions is 1/3577687.Finally, GCF of Fractions for 8047/467, 1913/7661 is 1/3577687.