GCF of 5687/993, 7872/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5687/993, 7872/289 i.e 1/286977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5687/993, 7872/289.
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 5687/993,7872/289?
Given fractions are 5687/993,7872/289
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 5687/993,7872/289, numerators are 5687,7872
Denominators are 993,289
The GCF of 5687,7872 is 1 .
LCM of 993,289 is 286977.
The greatest common factor of 5687/993,7872/289 = [GCF of 5687,7872]/[LCM of 993,289]= 1/286977
Therefore, the GCF of 5687/993,7872/289 is 1/286977.
To find the highest common factor of 5687,7872, we have to find the factors of both numbers and list the highest common factor.
The factors of 5687 are 1, 11, 47, 121, 517, 5687
The factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872
The HCF of 5687,7872 is 1.
Lets's calculate GCF of 5687,7872
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5687,7872 By Matching Biggest Common Factor Method
Now, list down the factors of 5687
:1,11,47,121,517,5687
Now, list down the factors of 7872
:1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors 5687,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 5687,7872 is 1.
Lets's calculate LCM of 993,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 286977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286977
Therefore, the GCF of Fractions 5687/993,7872/289 is 1/286977
Least Common Multiple of 993,289 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 993,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,289) x common factors =1 x 1 = 1
LCM(993,289) = ( 993 × 289 ) / 1
LCM(993,289) = 286977 / 1
LCM(993,289) = 286977
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FAQs on GCF of Fractions of 5687/993, 7872/289
1. What is the HCF of 5687,7872?
The HCF of 5687,7872 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 5687/993, 7872/289?
Answer: GCF of Numerators as per given numbers 5687/993, 7872/289 is
GCF of Numerators i.e. for 5687,7872 is 1
LCM of denominators i.e. for 993,289 is 286977.
Thus, GCF of Fractions is 1/286977.Finally, GCF of Fractions for 5687/993, 7872/289 is 1/286977.