GCF of 5726/824, 6715/6378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5726/824, 6715/6378 i.e 1/2627736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5726/824, 6715/6378.
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 5726/824,6715/6378?
Given fractions are 5726/824,6715/6378
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 5726/824,6715/6378, numerators are 5726,6715
Denominators are 824,6378
The GCF of 5726,6715 is 1 .
LCM of 824,6378 is 2627736.
The greatest common factor of 5726/824,6715/6378 = [GCF of 5726,6715]/[LCM of 824,6378]= 1/2627736
Therefore, the GCF of 5726/824,6715/6378 is 1/2627736.
To find the highest common factor of 5726,6715, we have to find the factors of both numbers and list the highest common factor.
The factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726
The factors of 6715 are 1, 5, 17, 79, 85, 395, 1343, 6715
The HCF of 5726,6715 is 1.
Lets's calculate GCF of 5726,6715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5726,6715 By Matching Biggest Common Factor Method
Now, list down the factors of 5726
:1,2,7,14,409,818,2863,5726
Now, list down the factors of 6715
:1,5,17,79,85,395,1343,6715
Greatest Common Factor
We found the factors 5726,6715 . The biggest common factor number is the GCF number.
So the greatest common factor 5726,6715 is 1.
Lets's calculate LCM of 824,6378
| 2 | 824, 6378 |
| 412, 3189 |
∴ So the LCM of the given numbers is 2 x 412 x 3189 = 2627736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2627736
Therefore, the GCF of Fractions 5726/824,6715/6378 is 1/2627736
Least Common Multiple of 824,6378 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 824,6378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,6378) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,6378) x common factors =2 x 1 = 2
LCM(824,6378) = ( 824 × 6378 ) / 2
LCM(824,6378) = 5255472 / 2
LCM(824,6378) = 2627736
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FAQs on GCF of Fractions of 5726/824, 6715/6378
1. What is the HCF of 5726,6715?
The HCF of 5726,6715 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 5726/824, 6715/6378?
Answer: GCF of Numerators as per given numbers 5726/824, 6715/6378 is
GCF of Numerators i.e. for 5726,6715 is 1
LCM of denominators i.e. for 824,6378 is 2627736.
Thus, GCF of Fractions is 1/2627736.Finally, GCF of Fractions for 5726/824, 6715/6378 is 1/2627736.