GCF of 8687/343, 4990/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8687/343, 4990/136 i.e 1/46648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8687/343, 4990/136.
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 8687/343,4990/136?
Given fractions are 8687/343,4990/136
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 8687/343,4990/136, numerators are 8687,4990
Denominators are 343,136
The GCF of 8687,4990 is 1 .
LCM of 343,136 is 46648.
The greatest common factor of 8687/343,4990/136 = [GCF of 8687,4990]/[LCM of 343,136]= 1/46648
Therefore, the GCF of 8687/343,4990/136 is 1/46648.
To find the highest common factor of 8687,4990, 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 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990
The HCF of 8687,4990 is 1.
Lets's calculate GCF of 8687,4990
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8687,4990 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 4990
:1,2,5,10,499,998,2495,4990
Greatest Common Factor
We found the factors 8687,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 8687,4990 is 1.
Lets's calculate LCM of 343,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 46648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46648
Therefore, the GCF of Fractions 8687/343,4990/136 is 1/46648
Least Common Multiple of 343,136 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 343,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,136) x common factors =1 x 1 = 1
LCM(343,136) = ( 343 × 136 ) / 1
LCM(343,136) = 46648 / 1
LCM(343,136) = 46648
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FAQs on GCF of Fractions of 8687/343, 4990/136
1. What is the HCF of 8687,4990?
The HCF of 8687,4990 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 8687/343, 4990/136?
Answer: GCF of Numerators as per given numbers 8687/343, 4990/136 is
GCF of Numerators i.e. for 8687,4990 is 1
LCM of denominators i.e. for 343,136 is 46648.
Thus, GCF of Fractions is 1/46648.Finally, GCF of Fractions for 8687/343, 4990/136 is 1/46648.