GCF of 8543/186, 2684/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8543/186, 2684/644 i.e 1/59892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8543/186, 2684/644.
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 8543/186,2684/644?
Given fractions are 8543/186,2684/644
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 8543/186,2684/644, numerators are 8543,2684
Denominators are 186,644
The GCF of 8543,2684 is 1 .
LCM of 186,644 is 59892.
The greatest common factor of 8543/186,2684/644 = [GCF of 8543,2684]/[LCM of 186,644]= 1/59892
Therefore, the GCF of 8543/186,2684/644 is 1/59892.
To find the highest common factor of 8543,2684, we have to find the factors of both numbers and list the highest common factor.
The factors of 8543 are 1, 8543
The factors of 2684 are 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684
The HCF of 8543,2684 is 1.
Lets's calculate GCF of 8543,2684
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8543,2684 By Matching Biggest Common Factor Method
Now, list down the factors of 8543
:1,8543
Now, list down the factors of 2684
:1,2,4,11,22,44,61,122,244,671,1342,2684
Greatest Common Factor
We found the factors 8543,2684 . The biggest common factor number is the GCF number.
So the greatest common factor 8543,2684 is 1.
Lets's calculate LCM of 186,644
| 2 | 186, 644 |
| 93, 322 |
∴ So the LCM of the given numbers is 2 x 93 x 322 = 59892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59892
Therefore, the GCF of Fractions 8543/186,2684/644 is 1/59892
Least Common Multiple of 186,644 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 186,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,644) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,644) x common factors =2 x 1 = 2
LCM(186,644) = ( 186 × 644 ) / 2
LCM(186,644) = 119784 / 2
LCM(186,644) = 59892
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FAQs on GCF of Fractions of 8543/186, 2684/644
1. What is the HCF of 8543,2684?
The HCF of 8543,2684 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 8543/186, 2684/644?
Answer: GCF of Numerators as per given numbers 8543/186, 2684/644 is
GCF of Numerators i.e. for 8543,2684 is 1
LCM of denominators i.e. for 186,644 is 59892.
Thus, GCF of Fractions is 1/59892.Finally, GCF of Fractions for 8543/186, 2684/644 is 1/59892.