GCF of 2016/279, 8317/5156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2016/279, 8317/5156 i.e 1/1438524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2016/279, 8317/5156.
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 2016/279,8317/5156?
Given fractions are 2016/279,8317/5156
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 2016/279,8317/5156, numerators are 2016,8317
Denominators are 279,5156
The GCF of 2016,8317 is 1 .
LCM of 279,5156 is 1438524.
The greatest common factor of 2016/279,8317/5156 = [GCF of 2016,8317]/[LCM of 279,5156]= 1/1438524
Therefore, the GCF of 2016/279,8317/5156 is 1/1438524.
To find the highest common factor of 2016,8317, we have to find the factors of both numbers and list the highest common factor.
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The factors of 8317 are 1, 8317
The HCF of 2016,8317 is 1.
Lets's calculate GCF of 2016,8317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2016,8317 By Matching Biggest Common Factor Method
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Now, list down the factors of 8317
:1,8317
Greatest Common Factor
We found the factors 2016,8317 . The biggest common factor number is the GCF number.
So the greatest common factor 2016,8317 is 1.
Lets's calculate LCM of 279,5156
Given numbers has no common factors except 1. So, there LCM is their product i.e 1438524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1438524
Therefore, the GCF of Fractions 2016/279,8317/5156 is 1/1438524
Least Common Multiple of 279,5156 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 279,5156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,5156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,5156) x common factors =1 x 1 = 1
LCM(279,5156) = ( 279 × 5156 ) / 1
LCM(279,5156) = 1438524 / 1
LCM(279,5156) = 1438524
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2016/279, 8317/5156
1. What is the HCF of 2016,8317?
The HCF of 2016,8317 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 2016/279, 8317/5156?
Answer: GCF of Numerators as per given numbers 2016/279, 8317/5156 is
GCF of Numerators i.e. for 2016,8317 is 1
LCM of denominators i.e. for 279,5156 is 1438524.
Thus, GCF of Fractions is 1/1438524.Finally, GCF of Fractions for 2016/279, 8317/5156 is 1/1438524.