GCF of 6939/213, 9335/2133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6939/213, 9335/2133 i.e 1/151443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6939/213, 9335/2133.
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 6939/213,9335/2133?
Given fractions are 6939/213,9335/2133
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 6939/213,9335/2133, numerators are 6939,9335
Denominators are 213,2133
The GCF of 6939,9335 is 1 .
LCM of 213,2133 is 151443.
The greatest common factor of 6939/213,9335/2133 = [GCF of 6939,9335]/[LCM of 213,2133]= 1/151443
Therefore, the GCF of 6939/213,9335/2133 is 1/151443.
To find the highest common factor of 6939,9335, we have to find the factors of both numbers and list the highest common factor.
The factors of 6939 are 1, 3, 9, 27, 257, 771, 2313, 6939
The factors of 9335 are 1, 5, 1867, 9335
The HCF of 6939,9335 is 1.
Lets's calculate GCF of 6939,9335
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6939,9335 By Matching Biggest Common Factor Method
Now, list down the factors of 6939
:1,3,9,27,257,771,2313,6939
Now, list down the factors of 9335
:1,5,1867,9335
Greatest Common Factor
We found the factors 6939,9335 . The biggest common factor number is the GCF number.
So the greatest common factor 6939,9335 is 1.
Lets's calculate LCM of 213,2133
| 3 | 213, 2133 |
| 71, 711 |
∴ So the LCM of the given numbers is 3 x 71 x 711 = 151443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151443
Therefore, the GCF of Fractions 6939/213,9335/2133 is 1/151443
Least Common Multiple of 213,2133 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 213,2133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,2133) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,2133) x common factors =3 x 1 = 3
LCM(213,2133) = ( 213 × 2133 ) / 3
LCM(213,2133) = 454329 / 3
LCM(213,2133) = 151443
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FAQs on GCF of Fractions of 6939/213, 9335/2133
1. What is the HCF of 6939,9335?
The HCF of 6939,9335 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 6939/213, 9335/2133?
Answer: GCF of Numerators as per given numbers 6939/213, 9335/2133 is
GCF of Numerators i.e. for 6939,9335 is 1
LCM of denominators i.e. for 213,2133 is 151443.
Thus, GCF of Fractions is 1/151443.Finally, GCF of Fractions for 6939/213, 9335/2133 is 1/151443.