GCF of 6713/397, 7404/5395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6713/397, 7404/5395 i.e 1/2141815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6713/397, 7404/5395.
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 6713/397,7404/5395?
Given fractions are 6713/397,7404/5395
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 6713/397,7404/5395, numerators are 6713,7404
Denominators are 397,5395
The GCF of 6713,7404 is 1 .
LCM of 397,5395 is 2141815.
The greatest common factor of 6713/397,7404/5395 = [GCF of 6713,7404]/[LCM of 397,5395]= 1/2141815
Therefore, the GCF of 6713/397,7404/5395 is 1/2141815.
To find the highest common factor of 6713,7404, 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 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404
The HCF of 6713,7404 is 1.
Lets's calculate GCF of 6713,7404
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6713,7404 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 7404
:1,2,3,4,6,12,617,1234,1851,2468,3702,7404
Greatest Common Factor
We found the factors 6713,7404 . The biggest common factor number is the GCF number.
So the greatest common factor 6713,7404 is 1.
Lets's calculate LCM of 397,5395
Given numbers has no common factors except 1. So, there LCM is their product i.e 2141815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2141815
Therefore, the GCF of Fractions 6713/397,7404/5395 is 1/2141815
Least Common Multiple of 397,5395 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 397,5395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,5395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,5395) x common factors =1 x 1 = 1
LCM(397,5395) = ( 397 × 5395 ) / 1
LCM(397,5395) = 2141815 / 1
LCM(397,5395) = 2141815
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FAQs on GCF of Fractions of 6713/397, 7404/5395
1. What is the HCF of 6713,7404?
The HCF of 6713,7404 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 6713/397, 7404/5395?
Answer: GCF of Numerators as per given numbers 6713/397, 7404/5395 is
GCF of Numerators i.e. for 6713,7404 is 1
LCM of denominators i.e. for 397,5395 is 2141815.
Thus, GCF of Fractions is 1/2141815.Finally, GCF of Fractions for 6713/397, 7404/5395 is 1/2141815.