GCF of 4468/599, 8771/501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4468/599, 8771/501 i.e 1/300099 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4468/599, 8771/501.
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 4468/599,8771/501?
Given fractions are 4468/599,8771/501
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 4468/599,8771/501, numerators are 4468,8771
Denominators are 599,501
The GCF of 4468,8771 is 1 .
LCM of 599,501 is 300099.
The greatest common factor of 4468/599,8771/501 = [GCF of 4468,8771]/[LCM of 599,501]= 1/300099
Therefore, the GCF of 4468/599,8771/501 is 1/300099.
To find the highest common factor of 4468,8771, we have to find the factors of both numbers and list the highest common factor.
The factors of 4468 are 1, 2, 4, 1117, 2234, 4468
The factors of 8771 are 1, 7, 49, 179, 1253, 8771
The HCF of 4468,8771 is 1.
Lets's calculate GCF of 4468,8771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4468,8771 By Matching Biggest Common Factor Method
Now, list down the factors of 4468
:1,2,4,1117,2234,4468
Now, list down the factors of 8771
:1,7,49,179,1253,8771
Greatest Common Factor
We found the factors 4468,8771 . The biggest common factor number is the GCF number.
So the greatest common factor 4468,8771 is 1.
Lets's calculate LCM of 599,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 300099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300099
Therefore, the GCF of Fractions 4468/599,8771/501 is 1/300099
Least Common Multiple of 599,501 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 599,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,501) x common factors =1 x 1 = 1
LCM(599,501) = ( 599 × 501 ) / 1
LCM(599,501) = 300099 / 1
LCM(599,501) = 300099
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FAQs on GCF of Fractions of 4468/599, 8771/501
1. What is the HCF of 4468,8771?
The HCF of 4468,8771 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 4468/599, 8771/501?
Answer: GCF of Numerators as per given numbers 4468/599, 8771/501 is
GCF of Numerators i.e. for 4468,8771 is 1
LCM of denominators i.e. for 599,501 is 300099.
Thus, GCF of Fractions is 1/300099.Finally, GCF of Fractions for 4468/599, 8771/501 is 1/300099.