GCF of 6553/204, 2743/4599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6553/204, 2743/4599 i.e 1/312732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6553/204, 2743/4599.
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 6553/204,2743/4599?
Given fractions are 6553/204,2743/4599
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 6553/204,2743/4599, numerators are 6553,2743
Denominators are 204,4599
The GCF of 6553,2743 is 1 .
LCM of 204,4599 is 312732.
The greatest common factor of 6553/204,2743/4599 = [GCF of 6553,2743]/[LCM of 204,4599]= 1/312732
Therefore, the GCF of 6553/204,2743/4599 is 1/312732.
To find the highest common factor of 6553,2743, we have to find the factors of both numbers and list the highest common factor.
The factors of 6553 are 1, 6553
The factors of 2743 are 1, 13, 211, 2743
The HCF of 6553,2743 is 1.
Lets's calculate GCF of 6553,2743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6553,2743 By Matching Biggest Common Factor Method
Now, list down the factors of 6553
:1,6553
Now, list down the factors of 2743
:1,13,211,2743
Greatest Common Factor
We found the factors 6553,2743 . The biggest common factor number is the GCF number.
So the greatest common factor 6553,2743 is 1.
Lets's calculate LCM of 204,4599
| 3 | 204, 4599 |
| 68, 1533 |
∴ So the LCM of the given numbers is 3 x 68 x 1533 = 312732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312732
Therefore, the GCF of Fractions 6553/204,2743/4599 is 1/312732
Least Common Multiple of 204,4599 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 204,4599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,4599) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,4599) x common factors =3 x 1 = 3
LCM(204,4599) = ( 204 × 4599 ) / 3
LCM(204,4599) = 938196 / 3
LCM(204,4599) = 312732
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FAQs on GCF of Fractions of 6553/204, 2743/4599
1. What is the HCF of 6553,2743?
The HCF of 6553,2743 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 6553/204, 2743/4599?
Answer: GCF of Numerators as per given numbers 6553/204, 2743/4599 is
GCF of Numerators i.e. for 6553,2743 is 1
LCM of denominators i.e. for 204,4599 is 312732.
Thus, GCF of Fractions is 1/312732.Finally, GCF of Fractions for 6553/204, 2743/4599 is 1/312732.