GCF of 8687/591, 3716/4906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8687/591, 3716/4906 i.e 1/2899446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8687/591, 3716/4906.
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 8687/591,3716/4906?
Given fractions are 8687/591,3716/4906
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 8687/591,3716/4906, numerators are 8687,3716
Denominators are 591,4906
The GCF of 8687,3716 is 1 .
LCM of 591,4906 is 2899446.
The greatest common factor of 8687/591,3716/4906 = [GCF of 8687,3716]/[LCM of 591,4906]= 1/2899446
Therefore, the GCF of 8687/591,3716/4906 is 1/2899446.
To find the highest common factor of 8687,3716, we have to find the factors of both numbers and list the highest common factor.
The factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687
The factors of 3716 are 1, 2, 4, 929, 1858, 3716
The HCF of 8687,3716 is 1.
Lets's calculate GCF of 8687,3716
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8687,3716 By Matching Biggest Common Factor Method
Now, list down the factors of 8687
:1,7,17,73,119,511,1241,8687
Now, list down the factors of 3716
:1,2,4,929,1858,3716
Greatest Common Factor
We found the factors 8687,3716 . The biggest common factor number is the GCF number.
So the greatest common factor 8687,3716 is 1.
Lets's calculate LCM of 591,4906
Given numbers has no common factors except 1. So, there LCM is their product i.e 2899446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2899446
Therefore, the GCF of Fractions 8687/591,3716/4906 is 1/2899446
Least Common Multiple of 591,4906 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 591,4906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,4906) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,4906) x common factors =1 x 1 = 1
LCM(591,4906) = ( 591 × 4906 ) / 1
LCM(591,4906) = 2899446 / 1
LCM(591,4906) = 2899446
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FAQs on GCF of Fractions of 8687/591, 3716/4906
1. What is the HCF of 8687,3716?
The HCF of 8687,3716 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 8687/591, 3716/4906?
Answer: GCF of Numerators as per given numbers 8687/591, 3716/4906 is
GCF of Numerators i.e. for 8687,3716 is 1
LCM of denominators i.e. for 591,4906 is 2899446.
Thus, GCF of Fractions is 1/2899446.Finally, GCF of Fractions for 8687/591, 3716/4906 is 1/2899446.