GCF of 5543/575, 6109/9959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5543/575, 6109/9959 i.e 1/248975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5543/575, 6109/9959.
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 5543/575,6109/9959?
Given fractions are 5543/575,6109/9959
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 5543/575,6109/9959, numerators are 5543,6109
Denominators are 575,9959
The GCF of 5543,6109 is 1 .
LCM of 575,9959 is 248975.
The greatest common factor of 5543/575,6109/9959 = [GCF of 5543,6109]/[LCM of 575,9959]= 1/248975
Therefore, the GCF of 5543/575,6109/9959 is 1/248975.
To find the highest common factor of 5543,6109, we have to find the factors of both numbers and list the highest common factor.
The factors of 5543 are 1, 23, 241, 5543
The factors of 6109 are 1, 41, 149, 6109
The HCF of 5543,6109 is 1.
Lets's calculate GCF of 5543,6109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5543,6109 By Matching Biggest Common Factor Method
Now, list down the factors of 5543
:1,23,241,5543
Now, list down the factors of 6109
:1,41,149,6109
Greatest Common Factor
We found the factors 5543,6109 . The biggest common factor number is the GCF number.
So the greatest common factor 5543,6109 is 1.
Lets's calculate LCM of 575,9959
| 23 | 575, 9959 |
| 25, 433 |
∴ So the LCM of the given numbers is 23 x 25 x 433 = 248975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248975
Therefore, the GCF of Fractions 5543/575,6109/9959 is 1/248975
Least Common Multiple of 575,9959 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 575,9959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,9959) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(575,9959) x common factors =23 x 1 = 23
LCM(575,9959) = ( 575 × 9959 ) / 23
LCM(575,9959) = 5726425 / 23
LCM(575,9959) = 248975
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FAQs on GCF of Fractions of 5543/575, 6109/9959
1. What is the HCF of 5543,6109?
The HCF of 5543,6109 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 5543/575, 6109/9959?
Answer: GCF of Numerators as per given numbers 5543/575, 6109/9959 is
GCF of Numerators i.e. for 5543,6109 is 1
LCM of denominators i.e. for 575,9959 is 248975.
Thus, GCF of Fractions is 1/248975.Finally, GCF of Fractions for 5543/575, 6109/9959 is 1/248975.