GCF of 8000/507, 6517/7130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8000/507, 6517/7130 i.e 1/3614910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8000/507, 6517/7130.
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 8000/507,6517/7130?
Given fractions are 8000/507,6517/7130
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 8000/507,6517/7130, numerators are 8000,6517
Denominators are 507,7130
The GCF of 8000,6517 is 1 .
LCM of 507,7130 is 3614910.
The greatest common factor of 8000/507,6517/7130 = [GCF of 8000,6517]/[LCM of 507,7130]= 1/3614910
Therefore, the GCF of 8000/507,6517/7130 is 1/3614910.
To find the highest common factor of 8000,6517, we have to find the factors of both numbers and list the highest common factor.
The factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000
The factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517
The HCF of 8000,6517 is 1.
Lets's calculate GCF of 8000,6517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8000,6517 By Matching Biggest Common Factor Method
Now, list down the factors of 8000
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000
Now, list down the factors of 6517
:1,7,19,49,133,343,931,6517
Greatest Common Factor
We found the factors 8000,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 8000,6517 is 1.
Lets's calculate LCM of 507,7130
Given numbers has no common factors except 1. So, there LCM is their product i.e 3614910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3614910
Therefore, the GCF of Fractions 8000/507,6517/7130 is 1/3614910
Least Common Multiple of 507,7130 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 507,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,7130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,7130) x common factors =1 x 1 = 1
LCM(507,7130) = ( 507 × 7130 ) / 1
LCM(507,7130) = 3614910 / 1
LCM(507,7130) = 3614910
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FAQs on GCF of Fractions of 8000/507, 6517/7130
1. What is the HCF of 8000,6517?
The HCF of 8000,6517 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 8000/507, 6517/7130?
Answer: GCF of Numerators as per given numbers 8000/507, 6517/7130 is
GCF of Numerators i.e. for 8000,6517 is 1
LCM of denominators i.e. for 507,7130 is 3614910.
Thus, GCF of Fractions is 1/3614910.Finally, GCF of Fractions for 8000/507, 6517/7130 is 1/3614910.