GCF of 191/512, 4355/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 191/512, 4355/455 i.e 1/232960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 191/512, 4355/455.
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 191/512,4355/455?
Given fractions are 191/512,4355/455
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 191/512,4355/455, numerators are 191,4355
Denominators are 512,455
The GCF of 191,4355 is 1 .
LCM of 512,455 is 232960.
The greatest common factor of 191/512,4355/455 = [GCF of 191,4355]/[LCM of 512,455]= 1/232960
Therefore, the GCF of 191/512,4355/455 is 1/232960.
To find the highest common factor of 191,4355, we have to find the factors of both numbers and list the highest common factor.
The factors of 191 are 1, 191
The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355
The HCF of 191,4355 is 1.
Lets's calculate GCF of 191,4355
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 191,4355 By Matching Biggest Common Factor Method
Now, list down the factors of 191
:1,191
Now, list down the factors of 4355
:1,5,13,65,67,335,871,4355
Greatest Common Factor
We found the factors 191,4355 . The biggest common factor number is the GCF number.
So the greatest common factor 191,4355 is 1.
Lets's calculate LCM of 512,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 232960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232960
Therefore, the GCF of Fractions 191/512,4355/455 is 1/232960
Least Common Multiple of 512,455 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 512,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,455) x common factors =1 x 1 = 1
LCM(512,455) = ( 512 × 455 ) / 1
LCM(512,455) = 232960 / 1
LCM(512,455) = 232960
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FAQs on GCF of Fractions of 191/512, 4355/455
1. What is the HCF of 191,4355?
The HCF of 191,4355 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 191/512, 4355/455?
Answer: GCF of Numerators as per given numbers 191/512, 4355/455 is
GCF of Numerators i.e. for 191,4355 is 1
LCM of denominators i.e. for 512,455 is 232960.
Thus, GCF of Fractions is 1/232960.Finally, GCF of Fractions for 191/512, 4355/455 is 1/232960.