GCF of 8616/682, 8035/6800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8616/682, 8035/6800 i.e 1/2318800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8616/682, 8035/6800.
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 8616/682,8035/6800?
Given fractions are 8616/682,8035/6800
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 8616/682,8035/6800, numerators are 8616,8035
Denominators are 682,6800
The GCF of 8616,8035 is 1 .
LCM of 682,6800 is 2318800.
The greatest common factor of 8616/682,8035/6800 = [GCF of 8616,8035]/[LCM of 682,6800]= 1/2318800
Therefore, the GCF of 8616/682,8035/6800 is 1/2318800.
To find the highest common factor of 8616,8035, we have to find the factors of both numbers and list the highest common factor.
The factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616
The factors of 8035 are 1, 5, 1607, 8035
The HCF of 8616,8035 is 1.
Lets's calculate GCF of 8616,8035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8616,8035 By Matching Biggest Common Factor Method
Now, list down the factors of 8616
:1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616
Now, list down the factors of 8035
:1,5,1607,8035
Greatest Common Factor
We found the factors 8616,8035 . The biggest common factor number is the GCF number.
So the greatest common factor 8616,8035 is 1.
Lets's calculate LCM of 682,6800
| 2 | 682, 6800 |
| 341, 3400 |
∴ So the LCM of the given numbers is 2 x 341 x 3400 = 2318800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2318800
Therefore, the GCF of Fractions 8616/682,8035/6800 is 1/2318800
Least Common Multiple of 682,6800 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 682,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,6800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,6800) x common factors =2 x 1 = 2
LCM(682,6800) = ( 682 × 6800 ) / 2
LCM(682,6800) = 4637600 / 2
LCM(682,6800) = 2318800
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FAQs on GCF of Fractions of 8616/682, 8035/6800
1. What is the HCF of 8616,8035?
The HCF of 8616,8035 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 8616/682, 8035/6800?
Answer: GCF of Numerators as per given numbers 8616/682, 8035/6800 is
GCF of Numerators i.e. for 8616,8035 is 1
LCM of denominators i.e. for 682,6800 is 2318800.
Thus, GCF of Fractions is 1/2318800.Finally, GCF of Fractions for 8616/682, 8035/6800 is 1/2318800.