GCF of 3171/631, 8221/386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3171/631, 8221/386 i.e 1/243566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3171/631, 8221/386.
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 3171/631,8221/386?
Given fractions are 3171/631,8221/386
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 3171/631,8221/386, numerators are 3171,8221
Denominators are 631,386
The GCF of 3171,8221 is 1 .
LCM of 631,386 is 243566.
The greatest common factor of 3171/631,8221/386 = [GCF of 3171,8221]/[LCM of 631,386]= 1/243566
Therefore, the GCF of 3171/631,8221/386 is 1/243566.
To find the highest common factor of 3171,8221, we have to find the factors of both numbers and list the highest common factor.
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The factors of 8221 are 1, 8221
The HCF of 3171,8221 is 1.
Lets's calculate GCF of 3171,8221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3171,8221 By Matching Biggest Common Factor Method
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Now, list down the factors of 8221
:1,8221
Greatest Common Factor
We found the factors 3171,8221 . The biggest common factor number is the GCF number.
So the greatest common factor 3171,8221 is 1.
Lets's calculate LCM of 631,386
Given numbers has no common factors except 1. So, there LCM is their product i.e 243566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243566
Therefore, the GCF of Fractions 3171/631,8221/386 is 1/243566
Least Common Multiple of 631,386 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 631,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,386) x common factors =1 x 1 = 1
LCM(631,386) = ( 631 × 386 ) / 1
LCM(631,386) = 243566 / 1
LCM(631,386) = 243566
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FAQs on GCF of Fractions of 3171/631, 8221/386
1. What is the HCF of 3171,8221?
The HCF of 3171,8221 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 3171/631, 8221/386?
Answer: GCF of Numerators as per given numbers 3171/631, 8221/386 is
GCF of Numerators i.e. for 3171,8221 is 1
LCM of denominators i.e. for 631,386 is 243566.
Thus, GCF of Fractions is 1/243566.Finally, GCF of Fractions for 3171/631, 8221/386 is 1/243566.