GCF of 8189/569, 5459/5582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8189/569, 5459/5582 i.e 1/3176158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8189/569, 5459/5582.
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 8189/569,5459/5582?
Given fractions are 8189/569,5459/5582
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 8189/569,5459/5582, numerators are 8189,5459
Denominators are 569,5582
The GCF of 8189,5459 is 1 .
LCM of 569,5582 is 3176158.
The greatest common factor of 8189/569,5459/5582 = [GCF of 8189,5459]/[LCM of 569,5582]= 1/3176158
Therefore, the GCF of 8189/569,5459/5582 is 1/3176158.
To find the highest common factor of 8189,5459, we have to find the factors of both numbers and list the highest common factor.
The factors of 8189 are 1, 19, 431, 8189
The factors of 5459 are 1, 53, 103, 5459
The HCF of 8189,5459 is 1.
Lets's calculate GCF of 8189,5459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8189,5459 By Matching Biggest Common Factor Method
Now, list down the factors of 8189
:1,19,431,8189
Now, list down the factors of 5459
:1,53,103,5459
Greatest Common Factor
We found the factors 8189,5459 . The biggest common factor number is the GCF number.
So the greatest common factor 8189,5459 is 1.
Lets's calculate LCM of 569,5582
Given numbers has no common factors except 1. So, there LCM is their product i.e 3176158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3176158
Therefore, the GCF of Fractions 8189/569,5459/5582 is 1/3176158
Least Common Multiple of 569,5582 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 569,5582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,5582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,5582) x common factors =1 x 1 = 1
LCM(569,5582) = ( 569 × 5582 ) / 1
LCM(569,5582) = 3176158 / 1
LCM(569,5582) = 3176158
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FAQs on GCF of Fractions of 8189/569, 5459/5582
1. What is the HCF of 8189,5459?
The HCF of 8189,5459 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 8189/569, 5459/5582?
Answer: GCF of Numerators as per given numbers 8189/569, 5459/5582 is
GCF of Numerators i.e. for 8189,5459 is 1
LCM of denominators i.e. for 569,5582 is 3176158.
Thus, GCF of Fractions is 1/3176158.Finally, GCF of Fractions for 8189/569, 5459/5582 is 1/3176158.