GCF of 4793/352, 3333/9255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4793/352, 3333/9255 i.e 1/3257760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4793/352, 3333/9255.
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 4793/352,3333/9255?
Given fractions are 4793/352,3333/9255
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 4793/352,3333/9255, numerators are 4793,3333
Denominators are 352,9255
The GCF of 4793,3333 is 1 .
LCM of 352,9255 is 3257760.
The greatest common factor of 4793/352,3333/9255 = [GCF of 4793,3333]/[LCM of 352,9255]= 1/3257760
Therefore, the GCF of 4793/352,3333/9255 is 1/3257760.
To find the highest common factor of 4793,3333, we have to find the factors of both numbers and list the highest common factor.
The factors of 4793 are 1, 4793
The factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333
The HCF of 4793,3333 is 1.
Lets's calculate GCF of 4793,3333
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4793,3333 By Matching Biggest Common Factor Method
Now, list down the factors of 4793
:1,4793
Now, list down the factors of 3333
:1,3,11,33,101,303,1111,3333
Greatest Common Factor
We found the factors 4793,3333 . The biggest common factor number is the GCF number.
So the greatest common factor 4793,3333 is 1.
Lets's calculate LCM of 352,9255
Given numbers has no common factors except 1. So, there LCM is their product i.e 3257760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3257760
Therefore, the GCF of Fractions 4793/352,3333/9255 is 1/3257760
Least Common Multiple of 352,9255 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 352,9255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,9255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(352,9255) x common factors =1 x 1 = 1
LCM(352,9255) = ( 352 × 9255 ) / 1
LCM(352,9255) = 3257760 / 1
LCM(352,9255) = 3257760
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FAQs on GCF of Fractions of 4793/352, 3333/9255
1. What is the HCF of 4793,3333?
The HCF of 4793,3333 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 4793/352, 3333/9255?
Answer: GCF of Numerators as per given numbers 4793/352, 3333/9255 is
GCF of Numerators i.e. for 4793,3333 is 1
LCM of denominators i.e. for 352,9255 is 3257760.
Thus, GCF of Fractions is 1/3257760.Finally, GCF of Fractions for 4793/352, 3333/9255 is 1/3257760.