GCF of 6603/943, 5657/9054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6603/943, 5657/9054 i.e 1/8537922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6603/943, 5657/9054.
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 6603/943,5657/9054?
Given fractions are 6603/943,5657/9054
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 6603/943,5657/9054, numerators are 6603,5657
Denominators are 943,9054
The GCF of 6603,5657 is 1 .
LCM of 943,9054 is 8537922.
The greatest common factor of 6603/943,5657/9054 = [GCF of 6603,5657]/[LCM of 943,9054]= 1/8537922
Therefore, the GCF of 6603/943,5657/9054 is 1/8537922.
To find the highest common factor of 6603,5657, we have to find the factors of both numbers and list the highest common factor.
The factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603
The factors of 5657 are 1, 5657
The HCF of 6603,5657 is 1.
Lets's calculate GCF of 6603,5657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6603,5657 By Matching Biggest Common Factor Method
Now, list down the factors of 6603
:1,3,31,71,93,213,2201,6603
Now, list down the factors of 5657
:1,5657
Greatest Common Factor
We found the factors 6603,5657 . The biggest common factor number is the GCF number.
So the greatest common factor 6603,5657 is 1.
Lets's calculate LCM of 943,9054
Given numbers has no common factors except 1. So, there LCM is their product i.e 8537922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8537922
Therefore, the GCF of Fractions 6603/943,5657/9054 is 1/8537922
Least Common Multiple of 943,9054 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 943,9054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,9054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,9054) x common factors =1 x 1 = 1
LCM(943,9054) = ( 943 × 9054 ) / 1
LCM(943,9054) = 8537922 / 1
LCM(943,9054) = 8537922
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6603/943, 5657/9054
1. What is the HCF of 6603,5657?
The HCF of 6603,5657 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 6603/943, 5657/9054?
Answer: GCF of Numerators as per given numbers 6603/943, 5657/9054 is
GCF of Numerators i.e. for 6603,5657 is 1
LCM of denominators i.e. for 943,9054 is 8537922.
Thus, GCF of Fractions is 1/8537922.Finally, GCF of Fractions for 6603/943, 5657/9054 is 1/8537922.