GCF of 1045/921, 6141/6296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1045/921, 6141/6296 i.e 1/5798616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1045/921, 6141/6296.
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 1045/921,6141/6296?
Given fractions are 1045/921,6141/6296
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 1045/921,6141/6296, numerators are 1045,6141
Denominators are 921,6296
The GCF of 1045,6141 is 1 .
LCM of 921,6296 is 5798616.
The greatest common factor of 1045/921,6141/6296 = [GCF of 1045,6141]/[LCM of 921,6296]= 1/5798616
Therefore, the GCF of 1045/921,6141/6296 is 1/5798616.
To find the highest common factor of 1045,6141, we have to find the factors of both numbers and list the highest common factor.
The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045
The factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141
The HCF of 1045,6141 is 1.
Lets's calculate GCF of 1045,6141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1045,6141 By Matching Biggest Common Factor Method
Now, list down the factors of 1045
:1,5,11,19,55,95,209,1045
Now, list down the factors of 6141
:1,3,23,69,89,267,2047,6141
Greatest Common Factor
We found the factors 1045,6141 . The biggest common factor number is the GCF number.
So the greatest common factor 1045,6141 is 1.
Lets's calculate LCM of 921,6296
Given numbers has no common factors except 1. So, there LCM is their product i.e 5798616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5798616
Therefore, the GCF of Fractions 1045/921,6141/6296 is 1/5798616
Least Common Multiple of 921,6296 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 921,6296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,6296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,6296) x common factors =1 x 1 = 1
LCM(921,6296) = ( 921 × 6296 ) / 1
LCM(921,6296) = 5798616 / 1
LCM(921,6296) = 5798616
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FAQs on GCF of Fractions of 1045/921, 6141/6296
1. What is the HCF of 1045,6141?
The HCF of 1045,6141 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 1045/921, 6141/6296?
Answer: GCF of Numerators as per given numbers 1045/921, 6141/6296 is
GCF of Numerators i.e. for 1045,6141 is 1
LCM of denominators i.e. for 921,6296 is 5798616.
Thus, GCF of Fractions is 1/5798616.Finally, GCF of Fractions for 1045/921, 6141/6296 is 1/5798616.