GCF of 6993/632, 5588/6713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6993/632, 5588/6713 i.e 1/4242616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6993/632, 5588/6713.
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 6993/632,5588/6713?
Given fractions are 6993/632,5588/6713
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 6993/632,5588/6713, numerators are 6993,5588
Denominators are 632,6713
The GCF of 6993,5588 is 1 .
LCM of 632,6713 is 4242616.
The greatest common factor of 6993/632,5588/6713 = [GCF of 6993,5588]/[LCM of 632,6713]= 1/4242616
Therefore, the GCF of 6993/632,5588/6713 is 1/4242616.
To find the highest common factor of 6993,5588, we have to find the factors of both numbers and list the highest common factor.
The factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993
The factors of 5588 are 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588
The HCF of 6993,5588 is 1.
Lets's calculate GCF of 6993,5588
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6993,5588 By Matching Biggest Common Factor Method
Now, list down the factors of 6993
:1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993
Now, list down the factors of 5588
:1,2,4,11,22,44,127,254,508,1397,2794,5588
Greatest Common Factor
We found the factors 6993,5588 . The biggest common factor number is the GCF number.
So the greatest common factor 6993,5588 is 1.
Lets's calculate LCM of 632,6713
Given numbers has no common factors except 1. So, there LCM is their product i.e 4242616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4242616
Therefore, the GCF of Fractions 6993/632,5588/6713 is 1/4242616
Least Common Multiple of 632,6713 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 632,6713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,6713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,6713) x common factors =1 x 1 = 1
LCM(632,6713) = ( 632 × 6713 ) / 1
LCM(632,6713) = 4242616 / 1
LCM(632,6713) = 4242616
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FAQs on GCF of Fractions of 6993/632, 5588/6713
1. What is the HCF of 6993,5588?
The HCF of 6993,5588 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 6993/632, 5588/6713?
Answer: GCF of Numerators as per given numbers 6993/632, 5588/6713 is
GCF of Numerators i.e. for 6993,5588 is 1
LCM of denominators i.e. for 632,6713 is 4242616.
Thus, GCF of Fractions is 1/4242616.Finally, GCF of Fractions for 6993/632, 5588/6713 is 1/4242616.