GCF of 5338/460, 7153/4437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5338/460, 7153/4437 i.e 1/2041020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5338/460, 7153/4437.
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 5338/460,7153/4437?
Given fractions are 5338/460,7153/4437
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 5338/460,7153/4437, numerators are 5338,7153
Denominators are 460,4437
The GCF of 5338,7153 is 1 .
LCM of 460,4437 is 2041020.
The greatest common factor of 5338/460,7153/4437 = [GCF of 5338,7153]/[LCM of 460,4437]= 1/2041020
Therefore, the GCF of 5338/460,7153/4437 is 1/2041020.
To find the highest common factor of 5338,7153, we have to find the factors of both numbers and list the highest common factor.
The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338
The factors of 7153 are 1, 23, 311, 7153
The HCF of 5338,7153 is 1.
Lets's calculate GCF of 5338,7153
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5338,7153 By Matching Biggest Common Factor Method
Now, list down the factors of 5338
:1,2,17,34,157,314,2669,5338
Now, list down the factors of 7153
:1,23,311,7153
Greatest Common Factor
We found the factors 5338,7153 . The biggest common factor number is the GCF number.
So the greatest common factor 5338,7153 is 1.
Lets's calculate LCM of 460,4437
Given numbers has no common factors except 1. So, there LCM is their product i.e 2041020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2041020
Therefore, the GCF of Fractions 5338/460,7153/4437 is 1/2041020
Least Common Multiple of 460,4437 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 460,4437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,4437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,4437) x common factors =1 x 1 = 1
LCM(460,4437) = ( 460 × 4437 ) / 1
LCM(460,4437) = 2041020 / 1
LCM(460,4437) = 2041020
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FAQs on GCF of Fractions of 5338/460, 7153/4437
1. What is the HCF of 5338,7153?
The HCF of 5338,7153 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 5338/460, 7153/4437?
Answer: GCF of Numerators as per given numbers 5338/460, 7153/4437 is
GCF of Numerators i.e. for 5338,7153 is 1
LCM of denominators i.e. for 460,4437 is 2041020.
Thus, GCF of Fractions is 1/2041020.Finally, GCF of Fractions for 5338/460, 7153/4437 is 1/2041020.