GCF of 5509/497, 5524/3627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5509/497, 5524/3627 i.e 1/1802619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5509/497, 5524/3627.
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 5509/497,5524/3627?
Given fractions are 5509/497,5524/3627
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 5509/497,5524/3627, numerators are 5509,5524
Denominators are 497,3627
The GCF of 5509,5524 is 1 .
LCM of 497,3627 is 1802619.
The greatest common factor of 5509/497,5524/3627 = [GCF of 5509,5524]/[LCM of 497,3627]= 1/1802619
Therefore, the GCF of 5509/497,5524/3627 is 1/1802619.
To find the highest common factor of 5509,5524, we have to find the factors of both numbers and list the highest common factor.
The factors of 5509 are 1, 7, 787, 5509
The factors of 5524 are 1, 2, 4, 1381, 2762, 5524
The HCF of 5509,5524 is 1.
Lets's calculate GCF of 5509,5524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5509,5524 By Matching Biggest Common Factor Method
Now, list down the factors of 5509
:1,7,787,5509
Now, list down the factors of 5524
:1,2,4,1381,2762,5524
Greatest Common Factor
We found the factors 5509,5524 . The biggest common factor number is the GCF number.
So the greatest common factor 5509,5524 is 1.
Lets's calculate LCM of 497,3627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1802619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1802619
Therefore, the GCF of Fractions 5509/497,5524/3627 is 1/1802619
Least Common Multiple of 497,3627 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 497,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,3627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,3627) x common factors =1 x 1 = 1
LCM(497,3627) = ( 497 × 3627 ) / 1
LCM(497,3627) = 1802619 / 1
LCM(497,3627) = 1802619
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FAQs on GCF of Fractions of 5509/497, 5524/3627
1. What is the HCF of 5509,5524?
The HCF of 5509,5524 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 5509/497, 5524/3627?
Answer: GCF of Numerators as per given numbers 5509/497, 5524/3627 is
GCF of Numerators i.e. for 5509,5524 is 1
LCM of denominators i.e. for 497,3627 is 1802619.
Thus, GCF of Fractions is 1/1802619.Finally, GCF of Fractions for 5509/497, 5524/3627 is 1/1802619.