GCF of 206/161, 975/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 206/161, 975/310 i.e 1/49910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/161, 975/310.
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 206/161,975/310?
Given fractions are 206/161,975/310
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 206/161,975/310, numerators are 206,975
Denominators are 161,310
The GCF of 206,975 is 1 .
LCM of 161,310 is 49910.
The greatest common factor of 206/161,975/310 = [GCF of 206,975]/[LCM of 161,310]= 1/49910
Therefore, the GCF of 206/161,975/310 is 1/49910.
To find the highest common factor of 206,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 206 are 1, 2, 103, 206
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 206,975 is 1.
Lets's calculate GCF of 206,975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 206,975 By Matching Biggest Common Factor Method
Now, list down the factors of 206
:1,2,103,206
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 206,975 . The biggest common factor number is the GCF number.
So the greatest common factor 206,975 is 1.
Lets's calculate LCM of 161,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 49910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49910
Therefore, the GCF of Fractions 206/161,975/310 is 1/49910
Least Common Multiple of 161,310 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 161,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,310) x common factors =1 x 1 = 1
LCM(161,310) = ( 161 × 310 ) / 1
LCM(161,310) = 49910 / 1
LCM(161,310) = 49910
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FAQs on GCF of Fractions of 206/161, 975/310
1. What is the HCF of 206,975?
The HCF of 206,975 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 206/161, 975/310?
Answer: GCF of Numerators as per given numbers 206/161, 975/310 is
GCF of Numerators i.e. for 206,975 is 1
LCM of denominators i.e. for 161,310 is 49910.
Thus, GCF of Fractions is 1/49910.Finally, GCF of Fractions for 206/161, 975/310 is 1/49910.