GCF of 211/21, 109/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 211/21, 109/305 i.e 1/6405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/21, 109/305.
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 211/21,109/305?
Given fractions are 211/21,109/305
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 211/21,109/305, numerators are 211,109
Denominators are 21,305
The GCF of 211,109 is 1 .
LCM of 21,305 is 6405.
The greatest common factor of 211/21,109/305 = [GCF of 211,109]/[LCM of 21,305]= 1/6405
Therefore, the GCF of 211/21,109/305 is 1/6405.
To find the highest common factor of 211,109, we have to find the factors of both numbers and list the highest common factor.
The factors of 211 are 1, 211
The factors of 109 are 1, 109
The HCF of 211,109 is 1.
Lets's calculate GCF of 211,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 211,109 By Matching Biggest Common Factor Method
Now, list down the factors of 211
:1,211
Now, list down the factors of 109
:1,109
Greatest Common Factor
We found the factors 211,109 . The biggest common factor number is the GCF number.
So the greatest common factor 211,109 is 1.
Lets's calculate LCM of 21,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 6405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6405
Therefore, the GCF of Fractions 211/21,109/305 is 1/6405
Least Common Multiple of 21,305 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 21,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,305) x common factors =1 x 1 = 1
LCM(21,305) = ( 21 × 305 ) / 1
LCM(21,305) = 6405 / 1
LCM(21,305) = 6405
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 211/21, 109/305
1. What is the HCF of 211,109?
The HCF of 211,109 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 211/21, 109/305?
Answer: GCF of Numerators as per given numbers 211/21, 109/305 is
GCF of Numerators i.e. for 211,109 is 1
LCM of denominators i.e. for 21,305 is 6405.
Thus, GCF of Fractions is 1/6405.Finally, GCF of Fractions for 211/21, 109/305 is 1/6405.