GCF of 283/17, 311/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 283/17, 311/509 i.e 1/8653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/17, 311/509.
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 283/17,311/509?
Given fractions are 283/17,311/509
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 283/17,311/509, numerators are 283,311
Denominators are 17,509
The GCF of 283,311 is 1 .
LCM of 17,509 is 8653.
The greatest common factor of 283/17,311/509 = [GCF of 283,311]/[LCM of 17,509]= 1/8653
Therefore, the GCF of 283/17,311/509 is 1/8653.
To find the highest common factor of 283,311, we have to find the factors of both numbers and list the highest common factor.
The factors of 283 are 1, 283
The factors of 311 are 1, 311
The HCF of 283,311 is 1.
Lets's calculate GCF of 283,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 283,311 By Matching Biggest Common Factor Method
Now, list down the factors of 283
:1,283
Now, list down the factors of 311
:1,311
Greatest Common Factor
We found the factors 283,311 . The biggest common factor number is the GCF number.
So the greatest common factor 283,311 is 1.
Lets's calculate LCM of 17,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 8653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8653
Therefore, the GCF of Fractions 283/17,311/509 is 1/8653
Least Common Multiple of 17,509 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 17,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,509) x common factors =1 x 1 = 1
LCM(17,509) = ( 17 × 509 ) / 1
LCM(17,509) = 8653 / 1
LCM(17,509) = 8653
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 283/17, 311/509
1. What is the HCF of 283,311?
The HCF of 283,311 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 283/17, 311/509?
Answer: GCF of Numerators as per given numbers 283/17, 311/509 is
GCF of Numerators i.e. for 283,311 is 1
LCM of denominators i.e. for 17,509 is 8653.
Thus, GCF of Fractions is 1/8653.Finally, GCF of Fractions for 283/17, 311/509 is 1/8653.