GCF of 3301/337, 6918/6982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3301/337, 6918/6982 i.e 1/2352934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3301/337, 6918/6982.
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 3301/337,6918/6982?
Given fractions are 3301/337,6918/6982
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 3301/337,6918/6982, numerators are 3301,6918
Denominators are 337,6982
The GCF of 3301,6918 is 1 .
LCM of 337,6982 is 2352934.
The greatest common factor of 3301/337,6918/6982 = [GCF of 3301,6918]/[LCM of 337,6982]= 1/2352934
Therefore, the GCF of 3301/337,6918/6982 is 1/2352934.
To find the highest common factor of 3301,6918, we have to find the factors of both numbers and list the highest common factor.
The factors of 3301 are 1, 3301
The factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918
The HCF of 3301,6918 is 1.
Lets's calculate GCF of 3301,6918
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3301,6918 By Matching Biggest Common Factor Method
Now, list down the factors of 3301
:1,3301
Now, list down the factors of 6918
:1,2,3,6,1153,2306,3459,6918
Greatest Common Factor
We found the factors 3301,6918 . The biggest common factor number is the GCF number.
So the greatest common factor 3301,6918 is 1.
Lets's calculate LCM of 337,6982
Given numbers has no common factors except 1. So, there LCM is their product i.e 2352934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2352934
Therefore, the GCF of Fractions 3301/337,6918/6982 is 1/2352934
Least Common Multiple of 337,6982 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 337,6982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,6982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,6982) x common factors =1 x 1 = 1
LCM(337,6982) = ( 337 × 6982 ) / 1
LCM(337,6982) = 2352934 / 1
LCM(337,6982) = 2352934
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FAQs on GCF of Fractions of 3301/337, 6918/6982
1. What is the HCF of 3301,6918?
The HCF of 3301,6918 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 3301/337, 6918/6982?
Answer: GCF of Numerators as per given numbers 3301/337, 6918/6982 is
GCF of Numerators i.e. for 3301,6918 is 1
LCM of denominators i.e. for 337,6982 is 2352934.
Thus, GCF of Fractions is 1/2352934.Finally, GCF of Fractions for 3301/337, 6918/6982 is 1/2352934.