GCF of 5643/798, 9498/5441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5643/798, 9498/5441 i.e 3/4341918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5643/798, 9498/5441.
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 5643/798,9498/5441?
Given fractions are 5643/798,9498/5441
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 5643/798,9498/5441, numerators are 5643,9498
Denominators are 798,5441
The GCF of 5643,9498 is 3 .
LCM of 798,5441 is 4341918.
The greatest common factor of 5643/798,9498/5441 = [GCF of 5643,9498]/[LCM of 798,5441]= 3/4341918
Therefore, the GCF of 5643/798,9498/5441 is 3/4341918.
To find the highest common factor of 5643,9498, we have to find the factors of both numbers and list the highest common factor.
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498
The HCF of 5643,9498 is 3.
Lets's calculate GCF of 5643,9498
| 3 | 5643, 9498 |
| 1881, 3166 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5643,9498 By Matching Biggest Common Factor Method
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Now, list down the factors of 9498
:1,2,3,6,1583,3166,4749,9498
Greatest Common Factor
We found the factors 5643,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 5643,9498 is 3.
Lets's calculate LCM of 798,5441
Given numbers has no common factors except 1. So, there LCM is their product i.e 4341918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4341918
Therefore, the GCF of Fractions 5643/798,9498/5441 is 3/4341918
Least Common Multiple of 798,5441 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 798,5441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,5441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,5441) x common factors =1 x 1 = 1
LCM(798,5441) = ( 798 × 5441 ) / 1
LCM(798,5441) = 4341918 / 1
LCM(798,5441) = 4341918
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FAQs on GCF of Fractions of 5643/798, 9498/5441
1. What is the HCF of 5643,9498?
The HCF of 5643,9498 is 3
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 5643/798, 9498/5441?
Answer: GCF of Numerators as per given numbers 5643/798, 9498/5441 is
GCF of Numerators i.e. for 5643,9498 is 3
LCM of denominators i.e. for 798,5441 is 4341918.
Thus, GCF of Fractions is 3/4341918.Finally, GCF of Fractions for 5643/798, 9498/5441 is 3/4341918.