GCF of 5463/296, 2299/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5463/296, 2299/558 i.e 1/82584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5463/296, 2299/558.
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 5463/296,2299/558?
Given fractions are 5463/296,2299/558
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 5463/296,2299/558, numerators are 5463,2299
Denominators are 296,558
The GCF of 5463,2299 is 1 .
LCM of 296,558 is 82584.
The greatest common factor of 5463/296,2299/558 = [GCF of 5463,2299]/[LCM of 296,558]= 1/82584
Therefore, the GCF of 5463/296,2299/558 is 1/82584.
To find the highest common factor of 5463,2299, we have to find the factors of both numbers and list the highest common factor.
The factors of 5463 are 1, 3, 9, 607, 1821, 5463
The factors of 2299 are 1, 11, 19, 121, 209, 2299
The HCF of 5463,2299 is 1.
Lets's calculate GCF of 5463,2299
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5463,2299 By Matching Biggest Common Factor Method
Now, list down the factors of 5463
:1,3,9,607,1821,5463
Now, list down the factors of 2299
:1,11,19,121,209,2299
Greatest Common Factor
We found the factors 5463,2299 . The biggest common factor number is the GCF number.
So the greatest common factor 5463,2299 is 1.
Lets's calculate LCM of 296,558
| 2 | 296, 558 |
| 148, 279 |
∴ So the LCM of the given numbers is 2 x 148 x 279 = 82584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82584
Therefore, the GCF of Fractions 5463/296,2299/558 is 1/82584
Least Common Multiple of 296,558 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 296,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,558) x common factors =2 x 1 = 2
LCM(296,558) = ( 296 × 558 ) / 2
LCM(296,558) = 165168 / 2
LCM(296,558) = 82584
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FAQs on GCF of Fractions of 5463/296, 2299/558
1. What is the HCF of 5463,2299?
The HCF of 5463,2299 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 5463/296, 2299/558?
Answer: GCF of Numerators as per given numbers 5463/296, 2299/558 is
GCF of Numerators i.e. for 5463,2299 is 1
LCM of denominators i.e. for 296,558 is 82584.
Thus, GCF of Fractions is 1/82584.Finally, GCF of Fractions for 5463/296, 2299/558 is 1/82584.