GCF of 4883/863, 5313/4625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4883/863, 5313/4625 i.e 1/3991375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4883/863, 5313/4625.
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 4883/863,5313/4625?
Given fractions are 4883/863,5313/4625
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 4883/863,5313/4625, numerators are 4883,5313
Denominators are 863,4625
The GCF of 4883,5313 is 1 .
LCM of 863,4625 is 3991375.
The greatest common factor of 4883/863,5313/4625 = [GCF of 4883,5313]/[LCM of 863,4625]= 1/3991375
Therefore, the GCF of 4883/863,5313/4625 is 1/3991375.
To find the highest common factor of 4883,5313, we have to find the factors of both numbers and list the highest common factor.
The factors of 4883 are 1, 19, 257, 4883
The factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313
The HCF of 4883,5313 is 1.
Lets's calculate GCF of 4883,5313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4883,5313 By Matching Biggest Common Factor Method
Now, list down the factors of 4883
:1,19,257,4883
Now, list down the factors of 5313
:1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313
Greatest Common Factor
We found the factors 4883,5313 . The biggest common factor number is the GCF number.
So the greatest common factor 4883,5313 is 1.
Lets's calculate LCM of 863,4625
Given numbers has no common factors except 1. So, there LCM is their product i.e 3991375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3991375
Therefore, the GCF of Fractions 4883/863,5313/4625 is 1/3991375
Least Common Multiple of 863,4625 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 863,4625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,4625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,4625) x common factors =1 x 1 = 1
LCM(863,4625) = ( 863 × 4625 ) / 1
LCM(863,4625) = 3991375 / 1
LCM(863,4625) = 3991375
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FAQs on GCF of Fractions of 4883/863, 5313/4625
1. What is the HCF of 4883,5313?
The HCF of 4883,5313 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 4883/863, 5313/4625?
Answer: GCF of Numerators as per given numbers 4883/863, 5313/4625 is
GCF of Numerators i.e. for 4883,5313 is 1
LCM of denominators i.e. for 863,4625 is 3991375.
Thus, GCF of Fractions is 1/3991375.Finally, GCF of Fractions for 4883/863, 5313/4625 is 1/3991375.