GCF of 5993/727, 4242/8932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5993/727, 4242/8932 i.e 1/6493564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5993/727, 4242/8932.
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 5993/727,4242/8932?
Given fractions are 5993/727,4242/8932
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 5993/727,4242/8932, numerators are 5993,4242
Denominators are 727,8932
The GCF of 5993,4242 is 1 .
LCM of 727,8932 is 6493564.
The greatest common factor of 5993/727,4242/8932 = [GCF of 5993,4242]/[LCM of 727,8932]= 1/6493564
Therefore, the GCF of 5993/727,4242/8932 is 1/6493564.
To find the highest common factor of 5993,4242, we have to find the factors of both numbers and list the highest common factor.
The factors of 5993 are 1, 13, 461, 5993
The factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242
The HCF of 5993,4242 is 1.
Lets's calculate GCF of 5993,4242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5993,4242 By Matching Biggest Common Factor Method
Now, list down the factors of 5993
:1,13,461,5993
Now, list down the factors of 4242
:1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Greatest Common Factor
We found the factors 5993,4242 . The biggest common factor number is the GCF number.
So the greatest common factor 5993,4242 is 1.
Lets's calculate LCM of 727,8932
Given numbers has no common factors except 1. So, there LCM is their product i.e 6493564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6493564
Therefore, the GCF of Fractions 5993/727,4242/8932 is 1/6493564
Least Common Multiple of 727,8932 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 727,8932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,8932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,8932) x common factors =1 x 1 = 1
LCM(727,8932) = ( 727 × 8932 ) / 1
LCM(727,8932) = 6493564 / 1
LCM(727,8932) = 6493564
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FAQs on GCF of Fractions of 5993/727, 4242/8932
1. What is the HCF of 5993,4242?
The HCF of 5993,4242 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 5993/727, 4242/8932?
Answer: GCF of Numerators as per given numbers 5993/727, 4242/8932 is
GCF of Numerators i.e. for 5993,4242 is 1
LCM of denominators i.e. for 727,8932 is 6493564.
Thus, GCF of Fractions is 1/6493564.Finally, GCF of Fractions for 5993/727, 4242/8932 is 1/6493564.