GCF of 3341/483, 3946/370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3341/483, 3946/370 i.e 1/178710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3341/483, 3946/370.
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 3341/483,3946/370?
Given fractions are 3341/483,3946/370
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 3341/483,3946/370, numerators are 3341,3946
Denominators are 483,370
The GCF of 3341,3946 is 1 .
LCM of 483,370 is 178710.
The greatest common factor of 3341/483,3946/370 = [GCF of 3341,3946]/[LCM of 483,370]= 1/178710
Therefore, the GCF of 3341/483,3946/370 is 1/178710.
To find the highest common factor of 3341,3946, we have to find the factors of both numbers and list the highest common factor.
The factors of 3341 are 1, 13, 257, 3341
The factors of 3946 are 1, 2, 1973, 3946
The HCF of 3341,3946 is 1.
Lets's calculate GCF of 3341,3946
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3341,3946 By Matching Biggest Common Factor Method
Now, list down the factors of 3341
:1,13,257,3341
Now, list down the factors of 3946
:1,2,1973,3946
Greatest Common Factor
We found the factors 3341,3946 . The biggest common factor number is the GCF number.
So the greatest common factor 3341,3946 is 1.
Lets's calculate LCM of 483,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 178710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178710
Therefore, the GCF of Fractions 3341/483,3946/370 is 1/178710
Least Common Multiple of 483,370 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 483,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,370) x common factors =1 x 1 = 1
LCM(483,370) = ( 483 × 370 ) / 1
LCM(483,370) = 178710 / 1
LCM(483,370) = 178710
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FAQs on GCF of Fractions of 3341/483, 3946/370
1. What is the HCF of 3341,3946?
The HCF of 3341,3946 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 3341/483, 3946/370?
Answer: GCF of Numerators as per given numbers 3341/483, 3946/370 is
GCF of Numerators i.e. for 3341,3946 is 1
LCM of denominators i.e. for 483,370 is 178710.
Thus, GCF of Fractions is 1/178710.Finally, GCF of Fractions for 3341/483, 3946/370 is 1/178710.