GCF of 4601/589, 2872/7461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4601/589, 2872/7461 i.e 1/4394529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4601/589, 2872/7461.
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 4601/589,2872/7461?
Given fractions are 4601/589,2872/7461
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 4601/589,2872/7461, numerators are 4601,2872
Denominators are 589,7461
The GCF of 4601,2872 is 1 .
LCM of 589,7461 is 4394529.
The greatest common factor of 4601/589,2872/7461 = [GCF of 4601,2872]/[LCM of 589,7461]= 1/4394529
Therefore, the GCF of 4601/589,2872/7461 is 1/4394529.
To find the highest common factor of 4601,2872, we have to find the factors of both numbers and list the highest common factor.
The factors of 4601 are 1, 43, 107, 4601
The factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872
The HCF of 4601,2872 is 1.
Lets's calculate GCF of 4601,2872
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4601,2872 By Matching Biggest Common Factor Method
Now, list down the factors of 4601
:1,43,107,4601
Now, list down the factors of 2872
:1,2,4,8,359,718,1436,2872
Greatest Common Factor
We found the factors 4601,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 4601,2872 is 1.
Lets's calculate LCM of 589,7461
Given numbers has no common factors except 1. So, there LCM is their product i.e 4394529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4394529
Therefore, the GCF of Fractions 4601/589,2872/7461 is 1/4394529
Least Common Multiple of 589,7461 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 589,7461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,7461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,7461) x common factors =1 x 1 = 1
LCM(589,7461) = ( 589 × 7461 ) / 1
LCM(589,7461) = 4394529 / 1
LCM(589,7461) = 4394529
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4601/589, 2872/7461
1. What is the HCF of 4601,2872?
The HCF of 4601,2872 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 4601/589, 2872/7461?
Answer: GCF of Numerators as per given numbers 4601/589, 2872/7461 is
GCF of Numerators i.e. for 4601,2872 is 1
LCM of denominators i.e. for 589,7461 is 4394529.
Thus, GCF of Fractions is 1/4394529.Finally, GCF of Fractions for 4601/589, 2872/7461 is 1/4394529.