GCF of 2099/687, 1753/329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2099/687, 1753/329 i.e 1/226023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2099/687, 1753/329.
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 2099/687,1753/329?
Given fractions are 2099/687,1753/329
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 2099/687,1753/329, numerators are 2099,1753
Denominators are 687,329
The GCF of 2099,1753 is 1 .
LCM of 687,329 is 226023.
The greatest common factor of 2099/687,1753/329 = [GCF of 2099,1753]/[LCM of 687,329]= 1/226023
Therefore, the GCF of 2099/687,1753/329 is 1/226023.
To find the highest common factor of 2099,1753, we have to find the factors of both numbers and list the highest common factor.
The factors of 2099 are 1, 2099
The factors of 1753 are 1, 1753
The HCF of 2099,1753 is 1.
Lets's calculate GCF of 2099,1753
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2099,1753 By Matching Biggest Common Factor Method
Now, list down the factors of 2099
:1,2099
Now, list down the factors of 1753
:1,1753
Greatest Common Factor
We found the factors 2099,1753 . The biggest common factor number is the GCF number.
So the greatest common factor 2099,1753 is 1.
Lets's calculate LCM of 687,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 226023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226023
Therefore, the GCF of Fractions 2099/687,1753/329 is 1/226023
Least Common Multiple of 687,329 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 687,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,329) x common factors =1 x 1 = 1
LCM(687,329) = ( 687 × 329 ) / 1
LCM(687,329) = 226023 / 1
LCM(687,329) = 226023
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FAQs on GCF of Fractions of 2099/687, 1753/329
1. What is the HCF of 2099,1753?
The HCF of 2099,1753 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 2099/687, 1753/329?
Answer: GCF of Numerators as per given numbers 2099/687, 1753/329 is
GCF of Numerators i.e. for 2099,1753 is 1
LCM of denominators i.e. for 687,329 is 226023.
Thus, GCF of Fractions is 1/226023.Finally, GCF of Fractions for 2099/687, 1753/329 is 1/226023.