GCF of 386/20, 263/991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 386/20, 263/991 i.e 1/19820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 386/20, 263/991.
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 386/20,263/991?
Given fractions are 386/20,263/991
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 386/20,263/991, numerators are 386,263
Denominators are 20,991
The GCF of 386,263 is 1 .
LCM of 20,991 is 19820.
The greatest common factor of 386/20,263/991 = [GCF of 386,263]/[LCM of 20,991]= 1/19820
Therefore, the GCF of 386/20,263/991 is 1/19820.
To find the highest common factor of 386,263, we have to find the factors of both numbers and list the highest common factor.
The factors of 386 are 1, 2, 193, 386
The factors of 263 are 1, 263
The HCF of 386,263 is 1.
Lets's calculate GCF of 386,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 386,263 By Matching Biggest Common Factor Method
Now, list down the factors of 386
:1,2,193,386
Now, list down the factors of 263
:1,263
Greatest Common Factor
We found the factors 386,263 . The biggest common factor number is the GCF number.
So the greatest common factor 386,263 is 1.
Lets's calculate LCM of 20,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 19820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19820
Therefore, the GCF of Fractions 386/20,263/991 is 1/19820
Least Common Multiple of 20,991 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 20,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,991) x common factors =1 x 1 = 1
LCM(20,991) = ( 20 × 991 ) / 1
LCM(20,991) = 19820 / 1
LCM(20,991) = 19820
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 386/20, 263/991
1. What is the HCF of 386,263?
The HCF of 386,263 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 386/20, 263/991?
Answer: GCF of Numerators as per given numbers 386/20, 263/991 is
GCF of Numerators i.e. for 386,263 is 1
LCM of denominators i.e. for 20,991 is 19820.
Thus, GCF of Fractions is 1/19820.Finally, GCF of Fractions for 386/20, 263/991 is 1/19820.