GCF of 4153/284, 9041/4438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4153/284, 9041/4438 i.e 1/630196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4153/284, 9041/4438.
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 4153/284,9041/4438?
Given fractions are 4153/284,9041/4438
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 4153/284,9041/4438, numerators are 4153,9041
Denominators are 284,4438
The GCF of 4153,9041 is 1 .
LCM of 284,4438 is 630196.
The greatest common factor of 4153/284,9041/4438 = [GCF of 4153,9041]/[LCM of 284,4438]= 1/630196
Therefore, the GCF of 4153/284,9041/4438 is 1/630196.
To find the highest common factor of 4153,9041, we have to find the factors of both numbers and list the highest common factor.
The factors of 4153 are 1, 4153
The factors of 9041 are 1, 9041
The HCF of 4153,9041 is 1.
Lets's calculate GCF of 4153,9041
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4153,9041 By Matching Biggest Common Factor Method
Now, list down the factors of 4153
:1,4153
Now, list down the factors of 9041
:1,9041
Greatest Common Factor
We found the factors 4153,9041 . The biggest common factor number is the GCF number.
So the greatest common factor 4153,9041 is 1.
Lets's calculate LCM of 284,4438
| 2 | 284, 4438 |
| 142, 2219 |
∴ So the LCM of the given numbers is 2 x 142 x 2219 = 630196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630196
Therefore, the GCF of Fractions 4153/284,9041/4438 is 1/630196
Least Common Multiple of 284,4438 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 284,4438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,4438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,4438) x common factors =2 x 1 = 2
LCM(284,4438) = ( 284 × 4438 ) / 2
LCM(284,4438) = 1260392 / 2
LCM(284,4438) = 630196
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FAQs on GCF of Fractions of 4153/284, 9041/4438
1. What is the HCF of 4153,9041?
The HCF of 4153,9041 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 4153/284, 9041/4438?
Answer: GCF of Numerators as per given numbers 4153/284, 9041/4438 is
GCF of Numerators i.e. for 4153,9041 is 1
LCM of denominators i.e. for 284,4438 is 630196.
Thus, GCF of Fractions is 1/630196.Finally, GCF of Fractions for 4153/284, 9041/4438 is 1/630196.