GCF of 941/329, 3741/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 941/329, 3741/827 i.e 1/272083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/329, 3741/827.
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 941/329,3741/827?
Given fractions are 941/329,3741/827
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 941/329,3741/827, numerators are 941,3741
Denominators are 329,827
The GCF of 941,3741 is 1 .
LCM of 329,827 is 272083.
The greatest common factor of 941/329,3741/827 = [GCF of 941,3741]/[LCM of 329,827]= 1/272083
Therefore, the GCF of 941/329,3741/827 is 1/272083.
To find the highest common factor of 941,3741, we have to find the factors of both numbers and list the highest common factor.
The factors of 941 are 1, 941
The factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741
The HCF of 941,3741 is 1.
Lets's calculate GCF of 941,3741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 941,3741 By Matching Biggest Common Factor Method
Now, list down the factors of 941
:1,941
Now, list down the factors of 3741
:1,3,29,43,87,129,1247,3741
Greatest Common Factor
We found the factors 941,3741 . The biggest common factor number is the GCF number.
So the greatest common factor 941,3741 is 1.
Lets's calculate LCM of 329,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 272083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272083
Therefore, the GCF of Fractions 941/329,3741/827 is 1/272083
Least Common Multiple of 329,827 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 329,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,827) x common factors =1 x 1 = 1
LCM(329,827) = ( 329 × 827 ) / 1
LCM(329,827) = 272083 / 1
LCM(329,827) = 272083
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FAQs on GCF of Fractions of 941/329, 3741/827
1. What is the HCF of 941,3741?
The HCF of 941,3741 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 941/329, 3741/827?
Answer: GCF of Numerators as per given numbers 941/329, 3741/827 is
GCF of Numerators i.e. for 941,3741 is 1
LCM of denominators i.e. for 329,827 is 272083.
Thus, GCF of Fractions is 1/272083.Finally, GCF of Fractions for 941/329, 3741/827 is 1/272083.