GCF of 1593/381, 2254/3670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1593/381, 2254/3670 i.e 1/1398270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1593/381, 2254/3670.
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 1593/381,2254/3670?
Given fractions are 1593/381,2254/3670
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 1593/381,2254/3670, numerators are 1593,2254
Denominators are 381,3670
The GCF of 1593,2254 is 1 .
LCM of 381,3670 is 1398270.
The greatest common factor of 1593/381,2254/3670 = [GCF of 1593,2254]/[LCM of 381,3670]= 1/1398270
Therefore, the GCF of 1593/381,2254/3670 is 1/1398270.
To find the highest common factor of 1593,2254, we have to find the factors of both numbers and list the highest common factor.
The factors of 1593 are 1, 3, 9, 27, 59, 177, 531, 1593
The factors of 2254 are 1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254
The HCF of 1593,2254 is 1.
Lets's calculate GCF of 1593,2254
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1593,2254 By Matching Biggest Common Factor Method
Now, list down the factors of 1593
:1,3,9,27,59,177,531,1593
Now, list down the factors of 2254
:1,2,7,14,23,46,49,98,161,322,1127,2254
Greatest Common Factor
We found the factors 1593,2254 . The biggest common factor number is the GCF number.
So the greatest common factor 1593,2254 is 1.
Lets's calculate LCM of 381,3670
Given numbers has no common factors except 1. So, there LCM is their product i.e 1398270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1398270
Therefore, the GCF of Fractions 1593/381,2254/3670 is 1/1398270
Least Common Multiple of 381,3670 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 381,3670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,3670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,3670) x common factors =1 x 1 = 1
LCM(381,3670) = ( 381 × 3670 ) / 1
LCM(381,3670) = 1398270 / 1
LCM(381,3670) = 1398270
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FAQs on GCF of Fractions of 1593/381, 2254/3670
1. What is the HCF of 1593,2254?
The HCF of 1593,2254 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 1593/381, 2254/3670?
Answer: GCF of Numerators as per given numbers 1593/381, 2254/3670 is
GCF of Numerators i.e. for 1593,2254 is 1
LCM of denominators i.e. for 381,3670 is 1398270.
Thus, GCF of Fractions is 1/1398270.Finally, GCF of Fractions for 1593/381, 2254/3670 is 1/1398270.