GCF of 8287/667, 3176/3678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8287/667, 3176/3678 i.e 1/2453226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8287/667, 3176/3678.
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 8287/667,3176/3678?
Given fractions are 8287/667,3176/3678
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 8287/667,3176/3678, numerators are 8287,3176
Denominators are 667,3678
The GCF of 8287,3176 is 1 .
LCM of 667,3678 is 2453226.
The greatest common factor of 8287/667,3176/3678 = [GCF of 8287,3176]/[LCM of 667,3678]= 1/2453226
Therefore, the GCF of 8287/667,3176/3678 is 1/2453226.
To find the highest common factor of 8287,3176, we have to find the factors of both numbers and list the highest common factor.
The factors of 8287 are 1, 8287
The factors of 3176 are 1, 2, 4, 8, 397, 794, 1588, 3176
The HCF of 8287,3176 is 1.
Lets's calculate GCF of 8287,3176
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8287,3176 By Matching Biggest Common Factor Method
Now, list down the factors of 8287
:1,8287
Now, list down the factors of 3176
:1,2,4,8,397,794,1588,3176
Greatest Common Factor
We found the factors 8287,3176 . The biggest common factor number is the GCF number.
So the greatest common factor 8287,3176 is 1.
Lets's calculate LCM of 667,3678
Given numbers has no common factors except 1. So, there LCM is their product i.e 2453226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2453226
Therefore, the GCF of Fractions 8287/667,3176/3678 is 1/2453226
Least Common Multiple of 667,3678 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 667,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,3678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,3678) x common factors =1 x 1 = 1
LCM(667,3678) = ( 667 × 3678 ) / 1
LCM(667,3678) = 2453226 / 1
LCM(667,3678) = 2453226
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FAQs on GCF of Fractions of 8287/667, 3176/3678
1. What is the HCF of 8287,3176?
The HCF of 8287,3176 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 8287/667, 3176/3678?
Answer: GCF of Numerators as per given numbers 8287/667, 3176/3678 is
GCF of Numerators i.e. for 8287,3176 is 1
LCM of denominators i.e. for 667,3678 is 2453226.
Thus, GCF of Fractions is 1/2453226.Finally, GCF of Fractions for 8287/667, 3176/3678 is 1/2453226.