GCF of 673/289, 648/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 673/289, 648/217 i.e 1/62713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/289, 648/217.
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 673/289,648/217?
Given fractions are 673/289,648/217
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 673/289,648/217, numerators are 673,648
Denominators are 289,217
The GCF of 673,648 is 1 .
LCM of 289,217 is 62713.
The greatest common factor of 673/289,648/217 = [GCF of 673,648]/[LCM of 289,217]= 1/62713
Therefore, the GCF of 673/289,648/217 is 1/62713.
To find the highest common factor of 673,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 673 are 1, 673
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 673,648 is 1.
Lets's calculate GCF of 673,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 673,648 By Matching Biggest Common Factor Method
Now, list down the factors of 673
:1,673
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 673,648 . The biggest common factor number is the GCF number.
So the greatest common factor 673,648 is 1.
Lets's calculate LCM of 289,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 62713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62713
Therefore, the GCF of Fractions 673/289,648/217 is 1/62713
Least Common Multiple of 289,217 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 289,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,217) x common factors =1 x 1 = 1
LCM(289,217) = ( 289 × 217 ) / 1
LCM(289,217) = 62713 / 1
LCM(289,217) = 62713
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FAQs on GCF of Fractions of 673/289, 648/217
1. What is the HCF of 673,648?
The HCF of 673,648 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 673/289, 648/217?
Answer: GCF of Numerators as per given numbers 673/289, 648/217 is
GCF of Numerators i.e. for 673,648 is 1
LCM of denominators i.e. for 289,217 is 62713.
Thus, GCF of Fractions is 1/62713.Finally, GCF of Fractions for 673/289, 648/217 is 1/62713.