GCF of 6153/747, 4183/2035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6153/747, 4183/2035 i.e 1/1520145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6153/747, 4183/2035.
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 6153/747,4183/2035?
Given fractions are 6153/747,4183/2035
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 6153/747,4183/2035, numerators are 6153,4183
Denominators are 747,2035
The GCF of 6153,4183 is 1 .
LCM of 747,2035 is 1520145.
The greatest common factor of 6153/747,4183/2035 = [GCF of 6153,4183]/[LCM of 747,2035]= 1/1520145
Therefore, the GCF of 6153/747,4183/2035 is 1/1520145.
To find the highest common factor of 6153,4183, we have to find the factors of both numbers and list the highest common factor.
The factors of 6153 are 1, 3, 7, 21, 293, 879, 2051, 6153
The factors of 4183 are 1, 47, 89, 4183
The HCF of 6153,4183 is 1.
Lets's calculate GCF of 6153,4183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6153,4183 By Matching Biggest Common Factor Method
Now, list down the factors of 6153
:1,3,7,21,293,879,2051,6153
Now, list down the factors of 4183
:1,47,89,4183
Greatest Common Factor
We found the factors 6153,4183 . The biggest common factor number is the GCF number.
So the greatest common factor 6153,4183 is 1.
Lets's calculate LCM of 747,2035
Given numbers has no common factors except 1. So, there LCM is their product i.e 1520145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1520145
Therefore, the GCF of Fractions 6153/747,4183/2035 is 1/1520145
Least Common Multiple of 747,2035 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 747,2035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,2035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,2035) x common factors =1 x 1 = 1
LCM(747,2035) = ( 747 × 2035 ) / 1
LCM(747,2035) = 1520145 / 1
LCM(747,2035) = 1520145
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6153/747, 4183/2035
1. What is the HCF of 6153,4183?
The HCF of 6153,4183 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 6153/747, 4183/2035?
Answer: GCF of Numerators as per given numbers 6153/747, 4183/2035 is
GCF of Numerators i.e. for 6153,4183 is 1
LCM of denominators i.e. for 747,2035 is 1520145.
Thus, GCF of Fractions is 1/1520145.Finally, GCF of Fractions for 6153/747, 4183/2035 is 1/1520145.