GCF of 8279/479, 2936/1178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8279/479, 2936/1178 i.e 1/564262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8279/479, 2936/1178.
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 8279/479,2936/1178?
Given fractions are 8279/479,2936/1178
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 8279/479,2936/1178, numerators are 8279,2936
Denominators are 479,1178
The GCF of 8279,2936 is 1 .
LCM of 479,1178 is 564262.
The greatest common factor of 8279/479,2936/1178 = [GCF of 8279,2936]/[LCM of 479,1178]= 1/564262
Therefore, the GCF of 8279/479,2936/1178 is 1/564262.
To find the highest common factor of 8279,2936, we have to find the factors of both numbers and list the highest common factor.
The factors of 8279 are 1, 17, 487, 8279
The factors of 2936 are 1, 2, 4, 8, 367, 734, 1468, 2936
The HCF of 8279,2936 is 1.
Lets's calculate GCF of 8279,2936
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8279,2936 By Matching Biggest Common Factor Method
Now, list down the factors of 8279
:1,17,487,8279
Now, list down the factors of 2936
:1,2,4,8,367,734,1468,2936
Greatest Common Factor
We found the factors 8279,2936 . The biggest common factor number is the GCF number.
So the greatest common factor 8279,2936 is 1.
Lets's calculate LCM of 479,1178
Given numbers has no common factors except 1. So, there LCM is their product i.e 564262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564262
Therefore, the GCF of Fractions 8279/479,2936/1178 is 1/564262
Least Common Multiple of 479,1178 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 479,1178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,1178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,1178) x common factors =1 x 1 = 1
LCM(479,1178) = ( 479 × 1178 ) / 1
LCM(479,1178) = 564262 / 1
LCM(479,1178) = 564262
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FAQs on GCF of Fractions of 8279/479, 2936/1178
1. What is the HCF of 8279,2936?
The HCF of 8279,2936 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 8279/479, 2936/1178?
Answer: GCF of Numerators as per given numbers 8279/479, 2936/1178 is
GCF of Numerators i.e. for 8279,2936 is 1
LCM of denominators i.e. for 479,1178 is 564262.
Thus, GCF of Fractions is 1/564262.Finally, GCF of Fractions for 8279/479, 2936/1178 is 1/564262.