GCF of 6323/243, 9709/7003
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6323/243, 9709/7003 i.e 1/1701729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6323/243, 9709/7003.
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 6323/243,9709/7003?
Given fractions are 6323/243,9709/7003
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 6323/243,9709/7003, numerators are 6323,9709
Denominators are 243,7003
The GCF of 6323,9709 is 1 .
LCM of 243,7003 is 1701729.
The greatest common factor of 6323/243,9709/7003 = [GCF of 6323,9709]/[LCM of 243,7003]= 1/1701729
Therefore, the GCF of 6323/243,9709/7003 is 1/1701729.
To find the highest common factor of 6323,9709, we have to find the factors of both numbers and list the highest common factor.
The factors of 6323 are 1, 6323
The factors of 9709 are 1, 7, 19, 73, 133, 511, 1387, 9709
The HCF of 6323,9709 is 1.
Lets's calculate GCF of 6323,9709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6323,9709 By Matching Biggest Common Factor Method
Now, list down the factors of 6323
:1,6323
Now, list down the factors of 9709
:1,7,19,73,133,511,1387,9709
Greatest Common Factor
We found the factors 6323,9709 . The biggest common factor number is the GCF number.
So the greatest common factor 6323,9709 is 1.
Lets's calculate LCM of 243,7003
Given numbers has no common factors except 1. So, there LCM is their product i.e 1701729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1701729
Therefore, the GCF of Fractions 6323/243,9709/7003 is 1/1701729
Least Common Multiple of 243,7003 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 243,7003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,7003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,7003) x common factors =1 x 1 = 1
LCM(243,7003) = ( 243 × 7003 ) / 1
LCM(243,7003) = 1701729 / 1
LCM(243,7003) = 1701729
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6323/243, 9709/7003
1. What is the HCF of 6323,9709?
The HCF of 6323,9709 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 6323/243, 9709/7003?
Answer: GCF of Numerators as per given numbers 6323/243, 9709/7003 is
GCF of Numerators i.e. for 6323,9709 is 1
LCM of denominators i.e. for 243,7003 is 1701729.
Thus, GCF of Fractions is 1/1701729.Finally, GCF of Fractions for 6323/243, 9709/7003 is 1/1701729.