GCF of 6633/475, 7444/2968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6633/475, 7444/2968 i.e 1/1409800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6633/475, 7444/2968.
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 6633/475,7444/2968?
Given fractions are 6633/475,7444/2968
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 6633/475,7444/2968, numerators are 6633,7444
Denominators are 475,2968
The GCF of 6633,7444 is 1 .
LCM of 475,2968 is 1409800.
The greatest common factor of 6633/475,7444/2968 = [GCF of 6633,7444]/[LCM of 475,2968]= 1/1409800
Therefore, the GCF of 6633/475,7444/2968 is 1/1409800.
To find the highest common factor of 6633,7444, we have to find the factors of both numbers and list the highest common factor.
The factors of 6633 are 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633
The factors of 7444 are 1, 2, 4, 1861, 3722, 7444
The HCF of 6633,7444 is 1.
Lets's calculate GCF of 6633,7444
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6633,7444 By Matching Biggest Common Factor Method
Now, list down the factors of 6633
:1,3,9,11,33,67,99,201,603,737,2211,6633
Now, list down the factors of 7444
:1,2,4,1861,3722,7444
Greatest Common Factor
We found the factors 6633,7444 . The biggest common factor number is the GCF number.
So the greatest common factor 6633,7444 is 1.
Lets's calculate LCM of 475,2968
Given numbers has no common factors except 1. So, there LCM is their product i.e 1409800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1409800
Therefore, the GCF of Fractions 6633/475,7444/2968 is 1/1409800
Least Common Multiple of 475,2968 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 475,2968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,2968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,2968) x common factors =1 x 1 = 1
LCM(475,2968) = ( 475 × 2968 ) / 1
LCM(475,2968) = 1409800 / 1
LCM(475,2968) = 1409800
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FAQs on GCF of Fractions of 6633/475, 7444/2968
1. What is the HCF of 6633,7444?
The HCF of 6633,7444 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 6633/475, 7444/2968?
Answer: GCF of Numerators as per given numbers 6633/475, 7444/2968 is
GCF of Numerators i.e. for 6633,7444 is 1
LCM of denominators i.e. for 475,2968 is 1409800.
Thus, GCF of Fractions is 1/1409800.Finally, GCF of Fractions for 6633/475, 7444/2968 is 1/1409800.