GCF of 4629/849, 4558/485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4629/849, 4558/485 i.e 1/411765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4629/849, 4558/485.
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 4629/849,4558/485?
Given fractions are 4629/849,4558/485
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 4629/849,4558/485, numerators are 4629,4558
Denominators are 849,485
The GCF of 4629,4558 is 1 .
LCM of 849,485 is 411765.
The greatest common factor of 4629/849,4558/485 = [GCF of 4629,4558]/[LCM of 849,485]= 1/411765
Therefore, the GCF of 4629/849,4558/485 is 1/411765.
To find the highest common factor of 4629,4558, we have to find the factors of both numbers and list the highest common factor.
The factors of 4629 are 1, 3, 1543, 4629
The factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558
The HCF of 4629,4558 is 1.
Lets's calculate GCF of 4629,4558
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4629,4558 By Matching Biggest Common Factor Method
Now, list down the factors of 4629
:1,3,1543,4629
Now, list down the factors of 4558
:1,2,43,53,86,106,2279,4558
Greatest Common Factor
We found the factors 4629,4558 . The biggest common factor number is the GCF number.
So the greatest common factor 4629,4558 is 1.
Lets's calculate LCM of 849,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 411765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411765
Therefore, the GCF of Fractions 4629/849,4558/485 is 1/411765
Least Common Multiple of 849,485 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 849,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,485) x common factors =1 x 1 = 1
LCM(849,485) = ( 849 × 485 ) / 1
LCM(849,485) = 411765 / 1
LCM(849,485) = 411765
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FAQs on GCF of Fractions of 4629/849, 4558/485
1. What is the HCF of 4629,4558?
The HCF of 4629,4558 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 4629/849, 4558/485?
Answer: GCF of Numerators as per given numbers 4629/849, 4558/485 is
GCF of Numerators i.e. for 4629,4558 is 1
LCM of denominators i.e. for 849,485 is 411765.
Thus, GCF of Fractions is 1/411765.Finally, GCF of Fractions for 4629/849, 4558/485 is 1/411765.