GCF of 6461/576, 9403/1997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6461/576, 9403/1997 i.e 1/1150272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6461/576, 9403/1997.
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 6461/576,9403/1997?
Given fractions are 6461/576,9403/1997
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 6461/576,9403/1997, numerators are 6461,9403
Denominators are 576,1997
The GCF of 6461,9403 is 1 .
LCM of 576,1997 is 1150272.
The greatest common factor of 6461/576,9403/1997 = [GCF of 6461,9403]/[LCM of 576,1997]= 1/1150272
Therefore, the GCF of 6461/576,9403/1997 is 1/1150272.
To find the highest common factor of 6461,9403, we have to find the factors of both numbers and list the highest common factor.
The factors of 6461 are 1, 7, 13, 71, 91, 497, 923, 6461
The factors of 9403 are 1, 9403
The HCF of 6461,9403 is 1.
Lets's calculate GCF of 6461,9403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6461,9403 By Matching Biggest Common Factor Method
Now, list down the factors of 6461
:1,7,13,71,91,497,923,6461
Now, list down the factors of 9403
:1,9403
Greatest Common Factor
We found the factors 6461,9403 . The biggest common factor number is the GCF number.
So the greatest common factor 6461,9403 is 1.
Lets's calculate LCM of 576,1997
Given numbers has no common factors except 1. So, there LCM is their product i.e 1150272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1150272
Therefore, the GCF of Fractions 6461/576,9403/1997 is 1/1150272
Least Common Multiple of 576,1997 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 576,1997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,1997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,1997) x common factors =1 x 1 = 1
LCM(576,1997) = ( 576 × 1997 ) / 1
LCM(576,1997) = 1150272 / 1
LCM(576,1997) = 1150272
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FAQs on GCF of Fractions of 6461/576, 9403/1997
1. What is the HCF of 6461,9403?
The HCF of 6461,9403 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 6461/576, 9403/1997?
Answer: GCF of Numerators as per given numbers 6461/576, 9403/1997 is
GCF of Numerators i.e. for 6461,9403 is 1
LCM of denominators i.e. for 576,1997 is 1150272.
Thus, GCF of Fractions is 1/1150272.Finally, GCF of Fractions for 6461/576, 9403/1997 is 1/1150272.