GCF of 2411/913, 1584/5202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2411/913, 1584/5202 i.e 1/4749426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2411/913, 1584/5202.
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 2411/913,1584/5202?
Given fractions are 2411/913,1584/5202
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 2411/913,1584/5202, numerators are 2411,1584
Denominators are 913,5202
The GCF of 2411,1584 is 1 .
LCM of 913,5202 is 4749426.
The greatest common factor of 2411/913,1584/5202 = [GCF of 2411,1584]/[LCM of 913,5202]= 1/4749426
Therefore, the GCF of 2411/913,1584/5202 is 1/4749426.
To find the highest common factor of 2411,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 2411 are 1, 2411
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
The HCF of 2411,1584 is 1.
Lets's calculate GCF of 2411,1584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2411,1584 By Matching Biggest Common Factor Method
Now, list down the factors of 2411
:1,2411
Now, list down the factors of 1584
:1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 2411,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 2411,1584 is 1.
Lets's calculate LCM of 913,5202
Given numbers has no common factors except 1. So, there LCM is their product i.e 4749426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4749426
Therefore, the GCF of Fractions 2411/913,1584/5202 is 1/4749426
Least Common Multiple of 913,5202 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 913,5202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,5202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,5202) x common factors =1 x 1 = 1
LCM(913,5202) = ( 913 × 5202 ) / 1
LCM(913,5202) = 4749426 / 1
LCM(913,5202) = 4749426
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FAQs on GCF of Fractions of 2411/913, 1584/5202
1. What is the HCF of 2411,1584?
The HCF of 2411,1584 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 2411/913, 1584/5202?
Answer: GCF of Numerators as per given numbers 2411/913, 1584/5202 is
GCF of Numerators i.e. for 2411,1584 is 1
LCM of denominators i.e. for 913,5202 is 4749426.
Thus, GCF of Fractions is 1/4749426.Finally, GCF of Fractions for 2411/913, 1584/5202 is 1/4749426.