GCF of 7723/827, 6045/6620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7723/827, 6045/6620 i.e 1/5474740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7723/827, 6045/6620.
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 7723/827,6045/6620?
Given fractions are 7723/827,6045/6620
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 7723/827,6045/6620, numerators are 7723,6045
Denominators are 827,6620
The GCF of 7723,6045 is 1 .
LCM of 827,6620 is 5474740.
The greatest common factor of 7723/827,6045/6620 = [GCF of 7723,6045]/[LCM of 827,6620]= 1/5474740
Therefore, the GCF of 7723/827,6045/6620 is 1/5474740.
To find the highest common factor of 7723,6045, we have to find the factors of both numbers and list the highest common factor.
The factors of 7723 are 1, 7723
The factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045
The HCF of 7723,6045 is 1.
Lets's calculate GCF of 7723,6045
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7723,6045 By Matching Biggest Common Factor Method
Now, list down the factors of 7723
:1,7723
Now, list down the factors of 6045
:1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045
Greatest Common Factor
We found the factors 7723,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 7723,6045 is 1.
Lets's calculate LCM of 827,6620
Given numbers has no common factors except 1. So, there LCM is their product i.e 5474740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5474740
Therefore, the GCF of Fractions 7723/827,6045/6620 is 1/5474740
Least Common Multiple of 827,6620 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 827,6620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,6620) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,6620) x common factors =1 x 1 = 1
LCM(827,6620) = ( 827 × 6620 ) / 1
LCM(827,6620) = 5474740 / 1
LCM(827,6620) = 5474740
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FAQs on GCF of Fractions of 7723/827, 6045/6620
1. What is the HCF of 7723,6045?
The HCF of 7723,6045 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 7723/827, 6045/6620?
Answer: GCF of Numerators as per given numbers 7723/827, 6045/6620 is
GCF of Numerators i.e. for 7723,6045 is 1
LCM of denominators i.e. for 827,6620 is 5474740.
Thus, GCF of Fractions is 1/5474740.Finally, GCF of Fractions for 7723/827, 6045/6620 is 1/5474740.