GCF of 6903/269, 6597/1150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6903/269, 6597/1150 i.e 9/309350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6903/269, 6597/1150.
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 6903/269,6597/1150?
Given fractions are 6903/269,6597/1150
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 6903/269,6597/1150, numerators are 6903,6597
Denominators are 269,1150
The GCF of 6903,6597 is 9 .
LCM of 269,1150 is 309350.
The greatest common factor of 6903/269,6597/1150 = [GCF of 6903,6597]/[LCM of 269,1150]= 9/309350
Therefore, the GCF of 6903/269,6597/1150 is 9/309350.
To find the highest common factor of 6903,6597, we have to find the factors of both numbers and list the highest common factor.
The factors of 6903 are 1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903
The factors of 6597 are 1, 3, 9, 733, 2199, 6597
The HCF of 6903,6597 is 9.
Lets's calculate GCF of 6903,6597
| 3 | 6903, 6597 |
| 3 | 2301, 2199 |
| 767, 733 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6903,6597 By Matching Biggest Common Factor Method
Now, list down the factors of 6903
:1,3,9,13,39,59,117,177,531,767,2301,6903
Now, list down the factors of 6597
:1,3,9,733,2199,6597
Greatest Common Factor
We found the factors 6903,6597 . The biggest common factor number is the GCF number.
So the greatest common factor 6903,6597 is 9.
Lets's calculate LCM of 269,1150
Given numbers has no common factors except 1. So, there LCM is their product i.e 309350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/309350
Therefore, the GCF of Fractions 6903/269,6597/1150 is 9/309350
Least Common Multiple of 269,1150 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 269,1150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,1150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,1150) x common factors =1 x 1 = 1
LCM(269,1150) = ( 269 × 1150 ) / 1
LCM(269,1150) = 309350 / 1
LCM(269,1150) = 309350
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FAQs on GCF of Fractions of 6903/269, 6597/1150
1. What is the HCF of 6903,6597?
The HCF of 6903,6597 is 9
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 6903/269, 6597/1150?
Answer: GCF of Numerators as per given numbers 6903/269, 6597/1150 is
GCF of Numerators i.e. for 6903,6597 is 9
LCM of denominators i.e. for 269,1150 is 309350.
Thus, GCF of Fractions is 9/309350.Finally, GCF of Fractions for 6903/269, 6597/1150 is 9/309350.