GCF of 6596/965, 9203/1311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6596/965, 9203/1311 i.e 1/1265115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6596/965, 9203/1311.
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 6596/965,9203/1311?
Given fractions are 6596/965,9203/1311
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 6596/965,9203/1311, numerators are 6596,9203
Denominators are 965,1311
The GCF of 6596,9203 is 1 .
LCM of 965,1311 is 1265115.
The greatest common factor of 6596/965,9203/1311 = [GCF of 6596,9203]/[LCM of 965,1311]= 1/1265115
Therefore, the GCF of 6596/965,9203/1311 is 1/1265115.
To find the highest common factor of 6596,9203, we have to find the factors of both numbers and list the highest common factor.
The factors of 6596 are 1, 2, 4, 17, 34, 68, 97, 194, 388, 1649, 3298, 6596
The factors of 9203 are 1, 9203
The HCF of 6596,9203 is 1.
Lets's calculate GCF of 6596,9203
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6596,9203 By Matching Biggest Common Factor Method
Now, list down the factors of 6596
:1,2,4,17,34,68,97,194,388,1649,3298,6596
Now, list down the factors of 9203
:1,9203
Greatest Common Factor
We found the factors 6596,9203 . The biggest common factor number is the GCF number.
So the greatest common factor 6596,9203 is 1.
Lets's calculate LCM of 965,1311
Given numbers has no common factors except 1. So, there LCM is their product i.e 1265115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1265115
Therefore, the GCF of Fractions 6596/965,9203/1311 is 1/1265115
Least Common Multiple of 965,1311 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 965,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,1311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,1311) x common factors =1 x 1 = 1
LCM(965,1311) = ( 965 × 1311 ) / 1
LCM(965,1311) = 1265115 / 1
LCM(965,1311) = 1265115
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FAQs on GCF of Fractions of 6596/965, 9203/1311
1. What is the HCF of 6596,9203?
The HCF of 6596,9203 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 6596/965, 9203/1311?
Answer: GCF of Numerators as per given numbers 6596/965, 9203/1311 is
GCF of Numerators i.e. for 6596,9203 is 1
LCM of denominators i.e. for 965,1311 is 1265115.
Thus, GCF of Fractions is 1/1265115.Finally, GCF of Fractions for 6596/965, 9203/1311 is 1/1265115.