GCF of 573/59, 349/431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 573/59, 349/431 i.e 1/25429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 573/59, 349/431.
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 573/59,349/431?
Given fractions are 573/59,349/431
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 573/59,349/431, numerators are 573,349
Denominators are 59,431
The GCF of 573,349 is 1 .
LCM of 59,431 is 25429.
The greatest common factor of 573/59,349/431 = [GCF of 573,349]/[LCM of 59,431]= 1/25429
Therefore, the GCF of 573/59,349/431 is 1/25429.
To find the highest common factor of 573,349, 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 349 are 1, 349
The HCF of 573,349 is 1.
Lets's calculate GCF of 573,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 573,349 By Matching Biggest Common Factor Method
Now, list down the factors of 573
:1,3,191,573
Now, list down the factors of 349
:1,349
Greatest Common Factor
We found the factors 573,349 . The biggest common factor number is the GCF number.
So the greatest common factor 573,349 is 1.
Lets's calculate LCM of 59,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 25429
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25429
Therefore, the GCF of Fractions 573/59,349/431 is 1/25429
Least Common Multiple of 59,431 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 59,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,431) x common factors =1 x 1 = 1
LCM(59,431) = ( 59 × 431 ) / 1
LCM(59,431) = 25429 / 1
LCM(59,431) = 25429
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 573/59, 349/431
1. What is the HCF of 573,349?
The HCF of 573,349 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 573/59, 349/431?
Answer: GCF of Numerators as per given numbers 573/59, 349/431 is
GCF of Numerators i.e. for 573,349 is 1
LCM of denominators i.e. for 59,431 is 25429.
Thus, GCF of Fractions is 1/25429.Finally, GCF of Fractions for 573/59, 349/431 is 1/25429.