GCF of 6893/392, 3393/1409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6893/392, 3393/1409 i.e 1/552328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6893/392, 3393/1409.
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 6893/392,3393/1409?
Given fractions are 6893/392,3393/1409
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 6893/392,3393/1409, numerators are 6893,3393
Denominators are 392,1409
The GCF of 6893,3393 is 1 .
LCM of 392,1409 is 552328.
The greatest common factor of 6893/392,3393/1409 = [GCF of 6893,3393]/[LCM of 392,1409]= 1/552328
Therefore, the GCF of 6893/392,3393/1409 is 1/552328.
To find the highest common factor of 6893,3393, we have to find the factors of both numbers and list the highest common factor.
The factors of 6893 are 1, 61, 113, 6893
The factors of 3393 are 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393
The HCF of 6893,3393 is 1.
Lets's calculate GCF of 6893,3393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6893,3393 By Matching Biggest Common Factor Method
Now, list down the factors of 6893
:1,61,113,6893
Now, list down the factors of 3393
:1,3,9,13,29,39,87,117,261,377,1131,3393
Greatest Common Factor
We found the factors 6893,3393 . The biggest common factor number is the GCF number.
So the greatest common factor 6893,3393 is 1.
Lets's calculate LCM of 392,1409
Given numbers has no common factors except 1. So, there LCM is their product i.e 552328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552328
Therefore, the GCF of Fractions 6893/392,3393/1409 is 1/552328
Least Common Multiple of 392,1409 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 392,1409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,1409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(392,1409) x common factors =1 x 1 = 1
LCM(392,1409) = ( 392 × 1409 ) / 1
LCM(392,1409) = 552328 / 1
LCM(392,1409) = 552328
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FAQs on GCF of Fractions of 6893/392, 3393/1409
1. What is the HCF of 6893,3393?
The HCF of 6893,3393 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 6893/392, 3393/1409?
Answer: GCF of Numerators as per given numbers 6893/392, 3393/1409 is
GCF of Numerators i.e. for 6893,3393 is 1
LCM of denominators i.e. for 392,1409 is 552328.
Thus, GCF of Fractions is 1/552328.Finally, GCF of Fractions for 6893/392, 3393/1409 is 1/552328.