GCF of 3667/378, 6824/4337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3667/378, 6824/4337 i.e 1/1639386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3667/378, 6824/4337.
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 3667/378,6824/4337?
Given fractions are 3667/378,6824/4337
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 3667/378,6824/4337, numerators are 3667,6824
Denominators are 378,4337
The GCF of 3667,6824 is 1 .
LCM of 378,4337 is 1639386.
The greatest common factor of 3667/378,6824/4337 = [GCF of 3667,6824]/[LCM of 378,4337]= 1/1639386
Therefore, the GCF of 3667/378,6824/4337 is 1/1639386.
To find the highest common factor of 3667,6824, we have to find the factors of both numbers and list the highest common factor.
The factors of 3667 are 1, 19, 193, 3667
The factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824
The HCF of 3667,6824 is 1.
Lets's calculate GCF of 3667,6824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3667,6824 By Matching Biggest Common Factor Method
Now, list down the factors of 3667
:1,19,193,3667
Now, list down the factors of 6824
:1,2,4,8,853,1706,3412,6824
Greatest Common Factor
We found the factors 3667,6824 . The biggest common factor number is the GCF number.
So the greatest common factor 3667,6824 is 1.
Lets's calculate LCM of 378,4337
Given numbers has no common factors except 1. So, there LCM is their product i.e 1639386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1639386
Therefore, the GCF of Fractions 3667/378,6824/4337 is 1/1639386
Least Common Multiple of 378,4337 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 378,4337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,4337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,4337) x common factors =1 x 1 = 1
LCM(378,4337) = ( 378 × 4337 ) / 1
LCM(378,4337) = 1639386 / 1
LCM(378,4337) = 1639386
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FAQs on GCF of Fractions of 3667/378, 6824/4337
1. What is the HCF of 3667,6824?
The HCF of 3667,6824 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 3667/378, 6824/4337?
Answer: GCF of Numerators as per given numbers 3667/378, 6824/4337 is
GCF of Numerators i.e. for 3667,6824 is 1
LCM of denominators i.e. for 378,4337 is 1639386.
Thus, GCF of Fractions is 1/1639386.Finally, GCF of Fractions for 3667/378, 6824/4337 is 1/1639386.