GCF of 6793/320, 6109/1902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6793/320, 6109/1902 i.e 1/304320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6793/320, 6109/1902.
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 6793/320,6109/1902?
Given fractions are 6793/320,6109/1902
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 6793/320,6109/1902, numerators are 6793,6109
Denominators are 320,1902
The GCF of 6793,6109 is 1 .
LCM of 320,1902 is 304320.
The greatest common factor of 6793/320,6109/1902 = [GCF of 6793,6109]/[LCM of 320,1902]= 1/304320
Therefore, the GCF of 6793/320,6109/1902 is 1/304320.
To find the highest common factor of 6793,6109, we have to find the factors of both numbers and list the highest common factor.
The factors of 6793 are 1, 6793
The factors of 6109 are 1, 41, 149, 6109
The HCF of 6793,6109 is 1.
Lets's calculate GCF of 6793,6109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6793,6109 By Matching Biggest Common Factor Method
Now, list down the factors of 6793
:1,6793
Now, list down the factors of 6109
:1,41,149,6109
Greatest Common Factor
We found the factors 6793,6109 . The biggest common factor number is the GCF number.
So the greatest common factor 6793,6109 is 1.
Lets's calculate LCM of 320,1902
| 2 | 320, 1902 |
| 160, 951 |
∴ So the LCM of the given numbers is 2 x 160 x 951 = 304320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304320
Therefore, the GCF of Fractions 6793/320,6109/1902 is 1/304320
Least Common Multiple of 320,1902 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 320,1902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,1902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,1902) x common factors =2 x 1 = 2
LCM(320,1902) = ( 320 × 1902 ) / 2
LCM(320,1902) = 608640 / 2
LCM(320,1902) = 304320
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FAQs on GCF of Fractions of 6793/320, 6109/1902
1. What is the HCF of 6793,6109?
The HCF of 6793,6109 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 6793/320, 6109/1902?
Answer: GCF of Numerators as per given numbers 6793/320, 6109/1902 is
GCF of Numerators i.e. for 6793,6109 is 1
LCM of denominators i.e. for 320,1902 is 304320.
Thus, GCF of Fractions is 1/304320.Finally, GCF of Fractions for 6793/320, 6109/1902 is 1/304320.