GCF of 209/843, 329/724, 905/913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 209/843, 329/724, 905/913 i.e 1/557233116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 209/843, 329/724, 905/913.
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 209/843,329/724,905/913?
Given fractions are 209/843,329/724,905/913
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 209/843,329/724,905/913, numerators are 209,329,905
Denominators are 843,724,913
The GCF of 209,329,905 is 1 .
LCM of 843,724,913 is 557233116.
The greatest common factor of 209/843,329/724,905/913 = [GCF of 209,329,905]/[LCM of 843,724,913]= 1/557233116
Therefore, the GCF of 209/843,329/724,905/913 is 1/557233116.
To find the highest common factor of 209,329,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 209 are 1, 11, 19, 209
The factors of 329 are 1, 7, 47, 329
The factors of 905 are 1, 5, 181, 905
The HCF of 209,329,905 is 1.
Lets's calculate GCF of 209,329,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 209,329,905 By Matching Biggest Common Factor Method
Now, list down the factors of 209
:1,11,19,209
Now, list down the factors of 329
:1,7,47,329
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 209,329,905 . The biggest common factor number is the GCF number.
So the greatest common factor 209,329,905 is 1.
Lets's calculate LCM of 843,724,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 557233116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/557233116
Therefore, the GCF of Fractions 209/843,329/724,905/913 is 1/557233116
Least Common Multiple of 843,724,913 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 843,724,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,724,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,724,913) x common factors =1 x 1 = 1
LCM(843,724,913) = ( 843 × 724 × 913 ) / 1
LCM(843,724,913) = 557233116 / 1
LCM(843,724,913) = 557233116
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FAQs on GCF of Fractions of 209/843, 329/724, 905/913
1. What is the HCF of 209,329,905?
The HCF of 209,329,905 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 209/843, 329/724, 905/913?
Answer: GCF of Numerators as per given numbers 209/843, 329/724, 905/913 is
GCF of Numerators i.e. for 209,329,905 is 1
LCM of denominators i.e. for 843,724,913 is 557233116.
Thus, GCF of Fractions is 1/557233116.Finally, GCF of Fractions for 209/843, 329/724, 905/913 is 1/557233116.