GCF of 1055/317, 8931/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1055/317, 8931/209 i.e 1/66253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1055/317, 8931/209.
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 1055/317,8931/209?
Given fractions are 1055/317,8931/209
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 1055/317,8931/209, numerators are 1055,8931
Denominators are 317,209
The GCF of 1055,8931 is 1 .
LCM of 317,209 is 66253.
The greatest common factor of 1055/317,8931/209 = [GCF of 1055,8931]/[LCM of 317,209]= 1/66253
Therefore, the GCF of 1055/317,8931/209 is 1/66253.
To find the highest common factor of 1055,8931, we have to find the factors of both numbers and list the highest common factor.
The factors of 1055 are 1, 5, 211, 1055
The factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931
The HCF of 1055,8931 is 1.
Lets's calculate GCF of 1055,8931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1055,8931 By Matching Biggest Common Factor Method
Now, list down the factors of 1055
:1,5,211,1055
Now, list down the factors of 8931
:1,3,13,39,229,687,2977,8931
Greatest Common Factor
We found the factors 1055,8931 . The biggest common factor number is the GCF number.
So the greatest common factor 1055,8931 is 1.
Lets's calculate LCM of 317,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 66253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66253
Therefore, the GCF of Fractions 1055/317,8931/209 is 1/66253
Least Common Multiple of 317,209 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 317,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,209) x common factors =1 x 1 = 1
LCM(317,209) = ( 317 × 209 ) / 1
LCM(317,209) = 66253 / 1
LCM(317,209) = 66253
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FAQs on GCF of Fractions of 1055/317, 8931/209
1. What is the HCF of 1055,8931?
The HCF of 1055,8931 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 1055/317, 8931/209?
Answer: GCF of Numerators as per given numbers 1055/317, 8931/209 is
GCF of Numerators i.e. for 1055,8931 is 1
LCM of denominators i.e. for 317,209 is 66253.
Thus, GCF of Fractions is 1/66253.Finally, GCF of Fractions for 1055/317, 8931/209 is 1/66253.