GCF of 6713/987, 6226/3928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6713/987, 6226/3928 i.e 1/3876936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6713/987, 6226/3928.
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 6713/987,6226/3928?
Given fractions are 6713/987,6226/3928
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 6713/987,6226/3928, numerators are 6713,6226
Denominators are 987,3928
The GCF of 6713,6226 is 1 .
LCM of 987,3928 is 3876936.
The greatest common factor of 6713/987,6226/3928 = [GCF of 6713,6226]/[LCM of 987,3928]= 1/3876936
Therefore, the GCF of 6713/987,6226/3928 is 1/3876936.
To find the highest common factor of 6713,6226, we have to find the factors of both numbers and list the highest common factor.
The factors of 6713 are 1, 7, 49, 137, 959, 6713
The factors of 6226 are 1, 2, 11, 22, 283, 566, 3113, 6226
The HCF of 6713,6226 is 1.
Lets's calculate GCF of 6713,6226
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6713,6226 By Matching Biggest Common Factor Method
Now, list down the factors of 6713
:1,7,49,137,959,6713
Now, list down the factors of 6226
:1,2,11,22,283,566,3113,6226
Greatest Common Factor
We found the factors 6713,6226 . The biggest common factor number is the GCF number.
So the greatest common factor 6713,6226 is 1.
Lets's calculate LCM of 987,3928
Given numbers has no common factors except 1. So, there LCM is their product i.e 3876936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3876936
Therefore, the GCF of Fractions 6713/987,6226/3928 is 1/3876936
Least Common Multiple of 987,3928 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 987,3928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,3928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,3928) x common factors =1 x 1 = 1
LCM(987,3928) = ( 987 × 3928 ) / 1
LCM(987,3928) = 3876936 / 1
LCM(987,3928) = 3876936
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FAQs on GCF of Fractions of 6713/987, 6226/3928
1. What is the HCF of 6713,6226?
The HCF of 6713,6226 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 6713/987, 6226/3928?
Answer: GCF of Numerators as per given numbers 6713/987, 6226/3928 is
GCF of Numerators i.e. for 6713,6226 is 1
LCM of denominators i.e. for 987,3928 is 3876936.
Thus, GCF of Fractions is 1/3876936.Finally, GCF of Fractions for 6713/987, 6226/3928 is 1/3876936.