GCF of 959/18, 986/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 959/18, 986/209 i.e 1/3762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 959/18, 986/209.
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 959/18,986/209?
Given fractions are 959/18,986/209
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 959/18,986/209, numerators are 959,986
Denominators are 18,209
The GCF of 959,986 is 1 .
LCM of 18,209 is 3762.
The greatest common factor of 959/18,986/209 = [GCF of 959,986]/[LCM of 18,209]= 1/3762
Therefore, the GCF of 959/18,986/209 is 1/3762.
To find the highest common factor of 959,986, we have to find the factors of both numbers and list the highest common factor.
The factors of 959 are 1, 7, 137, 959
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The HCF of 959,986 is 1.
Lets's calculate GCF of 959,986
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 959,986 By Matching Biggest Common Factor Method
Now, list down the factors of 959
:1,7,137,959
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 959,986 . The biggest common factor number is the GCF number.
So the greatest common factor 959,986 is 1.
Lets's calculate LCM of 18,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 3762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3762
Therefore, the GCF of Fractions 959/18,986/209 is 1/3762
Least Common Multiple of 18,209 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 18,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,209) x common factors =1 x 1 = 1
LCM(18,209) = ( 18 × 209 ) / 1
LCM(18,209) = 3762 / 1
LCM(18,209) = 3762
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FAQs on GCF of Fractions of 959/18, 986/209
1. What is the HCF of 959,986?
The HCF of 959,986 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 959/18, 986/209?
Answer: GCF of Numerators as per given numbers 959/18, 986/209 is
GCF of Numerators i.e. for 959,986 is 1
LCM of denominators i.e. for 18,209 is 3762.
Thus, GCF of Fractions is 1/3762.Finally, GCF of Fractions for 959/18, 986/209 is 1/3762.