GCF of 3819/389, 1271/3523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3819/389, 1271/3523 i.e 1/1370447 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3819/389, 1271/3523.
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 3819/389,1271/3523?
Given fractions are 3819/389,1271/3523
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 3819/389,1271/3523, numerators are 3819,1271
Denominators are 389,3523
The GCF of 3819,1271 is 1 .
LCM of 389,3523 is 1370447.
The greatest common factor of 3819/389,1271/3523 = [GCF of 3819,1271]/[LCM of 389,3523]= 1/1370447
Therefore, the GCF of 3819/389,1271/3523 is 1/1370447.
To find the highest common factor of 3819,1271, we have to find the factors of both numbers and list the highest common factor.
The factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819
The factors of 1271 are 1, 31, 41, 1271
The HCF of 3819,1271 is 1.
Lets's calculate GCF of 3819,1271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3819,1271 By Matching Biggest Common Factor Method
Now, list down the factors of 3819
:1,3,19,57,67,201,1273,3819
Now, list down the factors of 1271
:1,31,41,1271
Greatest Common Factor
We found the factors 3819,1271 . The biggest common factor number is the GCF number.
So the greatest common factor 3819,1271 is 1.
Lets's calculate LCM of 389,3523
Given numbers has no common factors except 1. So, there LCM is their product i.e 1370447
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1370447
Therefore, the GCF of Fractions 3819/389,1271/3523 is 1/1370447
Least Common Multiple of 389,3523 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 389,3523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,3523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,3523) x common factors =1 x 1 = 1
LCM(389,3523) = ( 389 × 3523 ) / 1
LCM(389,3523) = 1370447 / 1
LCM(389,3523) = 1370447
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FAQs on GCF of Fractions of 3819/389, 1271/3523
1. What is the HCF of 3819,1271?
The HCF of 3819,1271 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 3819/389, 1271/3523?
Answer: GCF of Numerators as per given numbers 3819/389, 1271/3523 is
GCF of Numerators i.e. for 3819,1271 is 1
LCM of denominators i.e. for 389,3523 is 1370447.
Thus, GCF of Fractions is 1/1370447.Finally, GCF of Fractions for 3819/389, 1271/3523 is 1/1370447.