GCF of 573/648, 5975/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 573/648, 5975/338 i.e 1/109512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 573/648, 5975/338.
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 573/648,5975/338?
Given fractions are 573/648,5975/338
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 573/648,5975/338, numerators are 573,5975
Denominators are 648,338
The GCF of 573,5975 is 1 .
LCM of 648,338 is 109512.
The greatest common factor of 573/648,5975/338 = [GCF of 573,5975]/[LCM of 648,338]= 1/109512
Therefore, the GCF of 573/648,5975/338 is 1/109512.
To find the highest common factor of 573,5975, we have to find the factors of both numbers and list the highest common factor.
The factors of 573 are 1, 3, 191, 573
The factors of 5975 are 1, 5, 25, 239, 1195, 5975
The HCF of 573,5975 is 1.
Lets's calculate GCF of 573,5975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 573,5975 By Matching Biggest Common Factor Method
Now, list down the factors of 573
:1,3,191,573
Now, list down the factors of 5975
:1,5,25,239,1195,5975
Greatest Common Factor
We found the factors 573,5975 . The biggest common factor number is the GCF number.
So the greatest common factor 573,5975 is 1.
Lets's calculate LCM of 648,338
| 2 | 648, 338 |
| 324, 169 |
∴ So the LCM of the given numbers is 2 x 324 x 169 = 109512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109512
Therefore, the GCF of Fractions 573/648,5975/338 is 1/109512
Least Common Multiple of 648,338 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 648,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,338) x common factors =2 x 1 = 2
LCM(648,338) = ( 648 × 338 ) / 2
LCM(648,338) = 219024 / 2
LCM(648,338) = 109512
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FAQs on GCF of Fractions of 573/648, 5975/338
1. What is the HCF of 573,5975?
The HCF of 573,5975 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 573/648, 5975/338?
Answer: GCF of Numerators as per given numbers 573/648, 5975/338 is
GCF of Numerators i.e. for 573,5975 is 1
LCM of denominators i.e. for 648,338 is 109512.
Thus, GCF of Fractions is 1/109512.Finally, GCF of Fractions for 573/648, 5975/338 is 1/109512.