GCF of 2703/233, 1721/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2703/233, 1721/523 i.e 1/121859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2703/233, 1721/523.
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 2703/233,1721/523?
Given fractions are 2703/233,1721/523
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 2703/233,1721/523, numerators are 2703,1721
Denominators are 233,523
The GCF of 2703,1721 is 1 .
LCM of 233,523 is 121859.
The greatest common factor of 2703/233,1721/523 = [GCF of 2703,1721]/[LCM of 233,523]= 1/121859
Therefore, the GCF of 2703/233,1721/523 is 1/121859.
To find the highest common factor of 2703,1721, we have to find the factors of both numbers and list the highest common factor.
The factors of 2703 are 1, 3, 17, 51, 53, 159, 901, 2703
The factors of 1721 are 1, 1721
The HCF of 2703,1721 is 1.
Lets's calculate GCF of 2703,1721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2703,1721 By Matching Biggest Common Factor Method
Now, list down the factors of 2703
:1,3,17,51,53,159,901,2703
Now, list down the factors of 1721
:1,1721
Greatest Common Factor
We found the factors 2703,1721 . The biggest common factor number is the GCF number.
So the greatest common factor 2703,1721 is 1.
Lets's calculate LCM of 233,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 121859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121859
Therefore, the GCF of Fractions 2703/233,1721/523 is 1/121859
Least Common Multiple of 233,523 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 233,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,523) x common factors =1 x 1 = 1
LCM(233,523) = ( 233 × 523 ) / 1
LCM(233,523) = 121859 / 1
LCM(233,523) = 121859
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FAQs on GCF of Fractions of 2703/233, 1721/523
1. What is the HCF of 2703,1721?
The HCF of 2703,1721 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 2703/233, 1721/523?
Answer: GCF of Numerators as per given numbers 2703/233, 1721/523 is
GCF of Numerators i.e. for 2703,1721 is 1
LCM of denominators i.e. for 233,523 is 121859.
Thus, GCF of Fractions is 1/121859.Finally, GCF of Fractions for 2703/233, 1721/523 is 1/121859.