GCF of 2397/557, 1393/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2397/557, 1393/644 i.e 1/358708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2397/557, 1393/644.
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 2397/557,1393/644?
Given fractions are 2397/557,1393/644
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 2397/557,1393/644, numerators are 2397,1393
Denominators are 557,644
The GCF of 2397,1393 is 1 .
LCM of 557,644 is 358708.
The greatest common factor of 2397/557,1393/644 = [GCF of 2397,1393]/[LCM of 557,644]= 1/358708
Therefore, the GCF of 2397/557,1393/644 is 1/358708.
To find the highest common factor of 2397,1393, we have to find the factors of both numbers and list the highest common factor.
The factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397
The factors of 1393 are 1, 7, 199, 1393
The HCF of 2397,1393 is 1.
Lets's calculate GCF of 2397,1393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2397,1393 By Matching Biggest Common Factor Method
Now, list down the factors of 2397
:1,3,17,47,51,141,799,2397
Now, list down the factors of 1393
:1,7,199,1393
Greatest Common Factor
We found the factors 2397,1393 . The biggest common factor number is the GCF number.
So the greatest common factor 2397,1393 is 1.
Lets's calculate LCM of 557,644
Given numbers has no common factors except 1. So, there LCM is their product i.e 358708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358708
Therefore, the GCF of Fractions 2397/557,1393/644 is 1/358708
Least Common Multiple of 557,644 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 557,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,644) x common factors =1 x 1 = 1
LCM(557,644) = ( 557 × 644 ) / 1
LCM(557,644) = 358708 / 1
LCM(557,644) = 358708
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FAQs on GCF of Fractions of 2397/557, 1393/644
1. What is the HCF of 2397,1393?
The HCF of 2397,1393 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 2397/557, 1393/644?
Answer: GCF of Numerators as per given numbers 2397/557, 1393/644 is
GCF of Numerators i.e. for 2397,1393 is 1
LCM of denominators i.e. for 557,644 is 358708.
Thus, GCF of Fractions is 1/358708.Finally, GCF of Fractions for 2397/557, 1393/644 is 1/358708.