GCF of 1763/421, 1843/4889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1763/421, 1843/4889 i.e 1/2058269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1763/421, 1843/4889.
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 1763/421,1843/4889?
Given fractions are 1763/421,1843/4889
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 1763/421,1843/4889, numerators are 1763,1843
Denominators are 421,4889
The GCF of 1763,1843 is 1 .
LCM of 421,4889 is 2058269.
The greatest common factor of 1763/421,1843/4889 = [GCF of 1763,1843]/[LCM of 421,4889]= 1/2058269
Therefore, the GCF of 1763/421,1843/4889 is 1/2058269.
To find the highest common factor of 1763,1843, we have to find the factors of both numbers and list the highest common factor.
The factors of 1763 are 1, 41, 43, 1763
The factors of 1843 are 1, 19, 97, 1843
The HCF of 1763,1843 is 1.
Lets's calculate GCF of 1763,1843
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1763,1843 By Matching Biggest Common Factor Method
Now, list down the factors of 1763
:1,41,43,1763
Now, list down the factors of 1843
:1,19,97,1843
Greatest Common Factor
We found the factors 1763,1843 . The biggest common factor number is the GCF number.
So the greatest common factor 1763,1843 is 1.
Lets's calculate LCM of 421,4889
Given numbers has no common factors except 1. So, there LCM is their product i.e 2058269
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2058269
Therefore, the GCF of Fractions 1763/421,1843/4889 is 1/2058269
Least Common Multiple of 421,4889 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 421,4889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,4889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,4889) x common factors =1 x 1 = 1
LCM(421,4889) = ( 421 × 4889 ) / 1
LCM(421,4889) = 2058269 / 1
LCM(421,4889) = 2058269
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1763/421, 1843/4889
1. What is the HCF of 1763,1843?
The HCF of 1763,1843 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 1763/421, 1843/4889?
Answer: GCF of Numerators as per given numbers 1763/421, 1843/4889 is
GCF of Numerators i.e. for 1763,1843 is 1
LCM of denominators i.e. for 421,4889 is 2058269.
Thus, GCF of Fractions is 1/2058269.Finally, GCF of Fractions for 1763/421, 1843/4889 is 1/2058269.