GCF of 4577/740, 1394/3447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4577/740, 1394/3447 i.e 1/2550780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4577/740, 1394/3447.
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 4577/740,1394/3447?
Given fractions are 4577/740,1394/3447
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 4577/740,1394/3447, numerators are 4577,1394
Denominators are 740,3447
The GCF of 4577,1394 is 1 .
LCM of 740,3447 is 2550780.
The greatest common factor of 4577/740,1394/3447 = [GCF of 4577,1394]/[LCM of 740,3447]= 1/2550780
Therefore, the GCF of 4577/740,1394/3447 is 1/2550780.
To find the highest common factor of 4577,1394, we have to find the factors of both numbers and list the highest common factor.
The factors of 4577 are 1, 23, 199, 4577
The factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394
The HCF of 4577,1394 is 1.
Lets's calculate GCF of 4577,1394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4577,1394 By Matching Biggest Common Factor Method
Now, list down the factors of 4577
:1,23,199,4577
Now, list down the factors of 1394
:1,2,17,34,41,82,697,1394
Greatest Common Factor
We found the factors 4577,1394 . The biggest common factor number is the GCF number.
So the greatest common factor 4577,1394 is 1.
Lets's calculate LCM of 740,3447
Given numbers has no common factors except 1. So, there LCM is their product i.e 2550780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2550780
Therefore, the GCF of Fractions 4577/740,1394/3447 is 1/2550780
Least Common Multiple of 740,3447 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 740,3447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,3447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,3447) x common factors =1 x 1 = 1
LCM(740,3447) = ( 740 × 3447 ) / 1
LCM(740,3447) = 2550780 / 1
LCM(740,3447) = 2550780
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FAQs on GCF of Fractions of 4577/740, 1394/3447
1. What is the HCF of 4577,1394?
The HCF of 4577,1394 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 4577/740, 1394/3447?
Answer: GCF of Numerators as per given numbers 4577/740, 1394/3447 is
GCF of Numerators i.e. for 4577,1394 is 1
LCM of denominators i.e. for 740,3447 is 2550780.
Thus, GCF of Fractions is 1/2550780.Finally, GCF of Fractions for 4577/740, 1394/3447 is 1/2550780.