GCF of 1933/503, 5857/3599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1933/503, 5857/3599 i.e 1/1810297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1933/503, 5857/3599.
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 1933/503,5857/3599?
Given fractions are 1933/503,5857/3599
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 1933/503,5857/3599, numerators are 1933,5857
Denominators are 503,3599
The GCF of 1933,5857 is 1 .
LCM of 503,3599 is 1810297.
The greatest common factor of 1933/503,5857/3599 = [GCF of 1933,5857]/[LCM of 503,3599]= 1/1810297
Therefore, the GCF of 1933/503,5857/3599 is 1/1810297.
To find the highest common factor of 1933,5857, we have to find the factors of both numbers and list the highest common factor.
The factors of 1933 are 1, 1933
The factors of 5857 are 1, 5857
The HCF of 1933,5857 is 1.
Lets's calculate GCF of 1933,5857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1933,5857 By Matching Biggest Common Factor Method
Now, list down the factors of 1933
:1,1933
Now, list down the factors of 5857
:1,5857
Greatest Common Factor
We found the factors 1933,5857 . The biggest common factor number is the GCF number.
So the greatest common factor 1933,5857 is 1.
Lets's calculate LCM of 503,3599
Given numbers has no common factors except 1. So, there LCM is their product i.e 1810297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1810297
Therefore, the GCF of Fractions 1933/503,5857/3599 is 1/1810297
Least Common Multiple of 503,3599 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 503,3599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,3599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,3599) x common factors =1 x 1 = 1
LCM(503,3599) = ( 503 × 3599 ) / 1
LCM(503,3599) = 1810297 / 1
LCM(503,3599) = 1810297
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FAQs on GCF of Fractions of 1933/503, 5857/3599
1. What is the HCF of 1933,5857?
The HCF of 1933,5857 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 1933/503, 5857/3599?
Answer: GCF of Numerators as per given numbers 1933/503, 5857/3599 is
GCF of Numerators i.e. for 1933,5857 is 1
LCM of denominators i.e. for 503,3599 is 1810297.
Thus, GCF of Fractions is 1/1810297.Finally, GCF of Fractions for 1933/503, 5857/3599 is 1/1810297.