GCF of 5324/523, 7149/513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5324/523, 7149/513 i.e 1/268299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5324/523, 7149/513.
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 5324/523,7149/513?
Given fractions are 5324/523,7149/513
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 5324/523,7149/513, numerators are 5324,7149
Denominators are 523,513
The GCF of 5324,7149 is 1 .
LCM of 523,513 is 268299.
The greatest common factor of 5324/523,7149/513 = [GCF of 5324,7149]/[LCM of 523,513]= 1/268299
Therefore, the GCF of 5324/523,7149/513 is 1/268299.
To find the highest common factor of 5324,7149, we have to find the factors of both numbers and list the highest common factor.
The factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324
The factors of 7149 are 1, 3, 2383, 7149
The HCF of 5324,7149 is 1.
Lets's calculate GCF of 5324,7149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5324,7149 By Matching Biggest Common Factor Method
Now, list down the factors of 5324
:1,2,4,11,22,44,121,242,484,1331,2662,5324
Now, list down the factors of 7149
:1,3,2383,7149
Greatest Common Factor
We found the factors 5324,7149 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,7149 is 1.
Lets's calculate LCM of 523,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 268299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268299
Therefore, the GCF of Fractions 5324/523,7149/513 is 1/268299
Least Common Multiple of 523,513 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 523,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,513) x common factors =1 x 1 = 1
LCM(523,513) = ( 523 × 513 ) / 1
LCM(523,513) = 268299 / 1
LCM(523,513) = 268299
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FAQs on GCF of Fractions of 5324/523, 7149/513
1. What is the HCF of 5324,7149?
The HCF of 5324,7149 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 5324/523, 7149/513?
Answer: GCF of Numerators as per given numbers 5324/523, 7149/513 is
GCF of Numerators i.e. for 5324,7149 is 1
LCM of denominators i.e. for 523,513 is 268299.
Thus, GCF of Fractions is 1/268299.Finally, GCF of Fractions for 5324/523, 7149/513 is 1/268299.