GCF of 8579/682, 1009/8112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8579/682, 1009/8112 i.e 1/2766192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8579/682, 1009/8112.
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 8579/682,1009/8112?
Given fractions are 8579/682,1009/8112
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 8579/682,1009/8112, numerators are 8579,1009
Denominators are 682,8112
The GCF of 8579,1009 is 1 .
LCM of 682,8112 is 2766192.
The greatest common factor of 8579/682,1009/8112 = [GCF of 8579,1009]/[LCM of 682,8112]= 1/2766192
Therefore, the GCF of 8579/682,1009/8112 is 1/2766192.
To find the highest common factor of 8579,1009, we have to find the factors of both numbers and list the highest common factor.
The factors of 8579 are 1, 23, 373, 8579
The factors of 1009 are 1, 1009
The HCF of 8579,1009 is 1.
Lets's calculate GCF of 8579,1009
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8579,1009 By Matching Biggest Common Factor Method
Now, list down the factors of 8579
:1,23,373,8579
Now, list down the factors of 1009
:1,1009
Greatest Common Factor
We found the factors 8579,1009 . The biggest common factor number is the GCF number.
So the greatest common factor 8579,1009 is 1.
Lets's calculate LCM of 682,8112
| 2 | 682, 8112 |
| 341, 4056 |
∴ So the LCM of the given numbers is 2 x 341 x 4056 = 2766192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2766192
Therefore, the GCF of Fractions 8579/682,1009/8112 is 1/2766192
Least Common Multiple of 682,8112 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 682,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,8112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,8112) x common factors =2 x 1 = 2
LCM(682,8112) = ( 682 × 8112 ) / 2
LCM(682,8112) = 5532384 / 2
LCM(682,8112) = 2766192
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FAQs on GCF of Fractions of 8579/682, 1009/8112
1. What is the HCF of 8579,1009?
The HCF of 8579,1009 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 8579/682, 1009/8112?
Answer: GCF of Numerators as per given numbers 8579/682, 1009/8112 is
GCF of Numerators i.e. for 8579,1009 is 1
LCM of denominators i.e. for 682,8112 is 2766192.
Thus, GCF of Fractions is 1/2766192.Finally, GCF of Fractions for 8579/682, 1009/8112 is 1/2766192.