GCF of 5233/293, 1710/1846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5233/293, 1710/1846 i.e 1/540878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5233/293, 1710/1846.
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 5233/293,1710/1846?
Given fractions are 5233/293,1710/1846
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 5233/293,1710/1846, numerators are 5233,1710
Denominators are 293,1846
The GCF of 5233,1710 is 1 .
LCM of 293,1846 is 540878.
The greatest common factor of 5233/293,1710/1846 = [GCF of 5233,1710]/[LCM of 293,1846]= 1/540878
Therefore, the GCF of 5233/293,1710/1846 is 1/540878.
To find the highest common factor of 5233,1710, we have to find the factors of both numbers and list the highest common factor.
The factors of 5233 are 1, 5233
The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
The HCF of 5233,1710 is 1.
Lets's calculate GCF of 5233,1710
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5233,1710 By Matching Biggest Common Factor Method
Now, list down the factors of 5233
:1,5233
Now, list down the factors of 1710
:1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Greatest Common Factor
We found the factors 5233,1710 . The biggest common factor number is the GCF number.
So the greatest common factor 5233,1710 is 1.
Lets's calculate LCM of 293,1846
Given numbers has no common factors except 1. So, there LCM is their product i.e 540878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540878
Therefore, the GCF of Fractions 5233/293,1710/1846 is 1/540878
Least Common Multiple of 293,1846 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 293,1846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,1846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,1846) x common factors =1 x 1 = 1
LCM(293,1846) = ( 293 × 1846 ) / 1
LCM(293,1846) = 540878 / 1
LCM(293,1846) = 540878
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FAQs on GCF of Fractions of 5233/293, 1710/1846
1. What is the HCF of 5233,1710?
The HCF of 5233,1710 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 5233/293, 1710/1846?
Answer: GCF of Numerators as per given numbers 5233/293, 1710/1846 is
GCF of Numerators i.e. for 5233,1710 is 1
LCM of denominators i.e. for 293,1846 is 540878.
Thus, GCF of Fractions is 1/540878.Finally, GCF of Fractions for 5233/293, 1710/1846 is 1/540878.