GCF of 38/83, 941/81, 351/298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/83, 941/81, 351/298 i.e 1/2003454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/83, 941/81, 351/298.
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 38/83,941/81,351/298?
Given fractions are 38/83,941/81,351/298
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 38/83,941/81,351/298, numerators are 38,941,351
Denominators are 83,81,298
The GCF of 38,941,351 is 1 .
LCM of 83,81,298 is 2003454.
The greatest common factor of 38/83,941/81,351/298 = [GCF of 38,941,351]/[LCM of 83,81,298]= 1/2003454
Therefore, the GCF of 38/83,941/81,351/298 is 1/2003454.
To find the highest common factor of 38,941,351, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 941 are 1, 941
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The HCF of 38,941,351 is 1.
Lets's calculate GCF of 38,941,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 38,941,351 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 941
:1,941
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 38,941,351 . The biggest common factor number is the GCF number.
So the greatest common factor 38,941,351 is 1.
Lets's calculate LCM of 83,81,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 2003454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2003454
Therefore, the GCF of Fractions 38/83,941/81,351/298 is 1/2003454
Least Common Multiple of 83,81,298 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 83,81,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,81,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,81,298) x common factors =1 x 1 = 1
LCM(83,81,298) = ( 83 × 81 × 298 ) / 1
LCM(83,81,298) = 2003454 / 1
LCM(83,81,298) = 2003454
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FAQs on GCF of Fractions of 38/83, 941/81, 351/298
1. What is the HCF of 38,941,351?
The HCF of 38,941,351 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 38/83, 941/81, 351/298?
Answer: GCF of Numerators as per given numbers 38/83, 941/81, 351/298 is
GCF of Numerators i.e. for 38,941,351 is 1
LCM of denominators i.e. for 83,81,298 is 2003454.
Thus, GCF of Fractions is 1/2003454.Finally, GCF of Fractions for 38/83, 941/81, 351/298 is 1/2003454.