GCF of 7317/667, 6823/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7317/667, 6823/857 i.e 1/571619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7317/667, 6823/857.
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 7317/667,6823/857?
Given fractions are 7317/667,6823/857
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 7317/667,6823/857, numerators are 7317,6823
Denominators are 667,857
The GCF of 7317,6823 is 1 .
LCM of 667,857 is 571619.
The greatest common factor of 7317/667,6823/857 = [GCF of 7317,6823]/[LCM of 667,857]= 1/571619
Therefore, the GCF of 7317/667,6823/857 is 1/571619.
To find the highest common factor of 7317,6823, we have to find the factors of both numbers and list the highest common factor.
The factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317
The factors of 6823 are 1, 6823
The HCF of 7317,6823 is 1.
Lets's calculate GCF of 7317,6823
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7317,6823 By Matching Biggest Common Factor Method
Now, list down the factors of 7317
:1,3,9,27,271,813,2439,7317
Now, list down the factors of 6823
:1,6823
Greatest Common Factor
We found the factors 7317,6823 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,6823 is 1.
Lets's calculate LCM of 667,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 571619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571619
Therefore, the GCF of Fractions 7317/667,6823/857 is 1/571619
Least Common Multiple of 667,857 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 667,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,857) x common factors =1 x 1 = 1
LCM(667,857) = ( 667 × 857 ) / 1
LCM(667,857) = 571619 / 1
LCM(667,857) = 571619
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FAQs on GCF of Fractions of 7317/667, 6823/857
1. What is the HCF of 7317,6823?
The HCF of 7317,6823 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 7317/667, 6823/857?
Answer: GCF of Numerators as per given numbers 7317/667, 6823/857 is
GCF of Numerators i.e. for 7317,6823 is 1
LCM of denominators i.e. for 667,857 is 571619.
Thus, GCF of Fractions is 1/571619.Finally, GCF of Fractions for 7317/667, 6823/857 is 1/571619.