GCF of 8261/193, 3111/4800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8261/193, 3111/4800 i.e 1/926400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8261/193, 3111/4800.
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 8261/193,3111/4800?
Given fractions are 8261/193,3111/4800
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 8261/193,3111/4800, numerators are 8261,3111
Denominators are 193,4800
The GCF of 8261,3111 is 1 .
LCM of 193,4800 is 926400.
The greatest common factor of 8261/193,3111/4800 = [GCF of 8261,3111]/[LCM of 193,4800]= 1/926400
Therefore, the GCF of 8261/193,3111/4800 is 1/926400.
To find the highest common factor of 8261,3111, we have to find the factors of both numbers and list the highest common factor.
The factors of 8261 are 1, 11, 751, 8261
The factors of 3111 are 1, 3, 17, 51, 61, 183, 1037, 3111
The HCF of 8261,3111 is 1.
Lets's calculate GCF of 8261,3111
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8261,3111 By Matching Biggest Common Factor Method
Now, list down the factors of 8261
:1,11,751,8261
Now, list down the factors of 3111
:1,3,17,51,61,183,1037,3111
Greatest Common Factor
We found the factors 8261,3111 . The biggest common factor number is the GCF number.
So the greatest common factor 8261,3111 is 1.
Lets's calculate LCM of 193,4800
Given numbers has no common factors except 1. So, there LCM is their product i.e 926400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/926400
Therefore, the GCF of Fractions 8261/193,3111/4800 is 1/926400
Least Common Multiple of 193,4800 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 193,4800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,4800) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,4800) x common factors =1 x 1 = 1
LCM(193,4800) = ( 193 × 4800 ) / 1
LCM(193,4800) = 926400 / 1
LCM(193,4800) = 926400
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FAQs on GCF of Fractions of 8261/193, 3111/4800
1. What is the HCF of 8261,3111?
The HCF of 8261,3111 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 8261/193, 3111/4800?
Answer: GCF of Numerators as per given numbers 8261/193, 3111/4800 is
GCF of Numerators i.e. for 8261,3111 is 1
LCM of denominators i.e. for 193,4800 is 926400.
Thus, GCF of Fractions is 1/926400.Finally, GCF of Fractions for 8261/193, 3111/4800 is 1/926400.