GCF of 467/217, 206/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 467/217, 206/817 i.e 1/177289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/217, 206/817.
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 467/217,206/817?
Given fractions are 467/217,206/817
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 467/217,206/817, numerators are 467,206
Denominators are 217,817
The GCF of 467,206 is 1 .
LCM of 217,817 is 177289.
The greatest common factor of 467/217,206/817 = [GCF of 467,206]/[LCM of 217,817]= 1/177289
Therefore, the GCF of 467/217,206/817 is 1/177289.
To find the highest common factor of 467,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 467 are 1, 467
The factors of 206 are 1, 2, 103, 206
The HCF of 467,206 is 1.
Lets's calculate GCF of 467,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 467,206 By Matching Biggest Common Factor Method
Now, list down the factors of 467
:1,467
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 467,206 . The biggest common factor number is the GCF number.
So the greatest common factor 467,206 is 1.
Lets's calculate LCM of 217,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 177289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177289
Therefore, the GCF of Fractions 467/217,206/817 is 1/177289
Least Common Multiple of 217,817 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 217,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,817) x common factors =1 x 1 = 1
LCM(217,817) = ( 217 × 817 ) / 1
LCM(217,817) = 177289 / 1
LCM(217,817) = 177289
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 467/217, 206/817
1. What is the HCF of 467,206?
The HCF of 467,206 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 467/217, 206/817?
Answer: GCF of Numerators as per given numbers 467/217, 206/817 is
GCF of Numerators i.e. for 467,206 is 1
LCM of denominators i.e. for 217,817 is 177289.
Thus, GCF of Fractions is 1/177289.Finally, GCF of Fractions for 467/217, 206/817 is 1/177289.