GCF of 5383/814, 5227/6199
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5383/814, 5227/6199 i.e 1/5045986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5383/814, 5227/6199.
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 5383/814,5227/6199?
Given fractions are 5383/814,5227/6199
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 5383/814,5227/6199, numerators are 5383,5227
Denominators are 814,6199
The GCF of 5383,5227 is 1 .
LCM of 814,6199 is 5045986.
The greatest common factor of 5383/814,5227/6199 = [GCF of 5383,5227]/[LCM of 814,6199]= 1/5045986
Therefore, the GCF of 5383/814,5227/6199 is 1/5045986.
To find the highest common factor of 5383,5227, we have to find the factors of both numbers and list the highest common factor.
The factors of 5383 are 1, 7, 769, 5383
The factors of 5227 are 1, 5227
The HCF of 5383,5227 is 1.
Lets's calculate GCF of 5383,5227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5383,5227 By Matching Biggest Common Factor Method
Now, list down the factors of 5383
:1,7,769,5383
Now, list down the factors of 5227
:1,5227
Greatest Common Factor
We found the factors 5383,5227 . The biggest common factor number is the GCF number.
So the greatest common factor 5383,5227 is 1.
Lets's calculate LCM of 814,6199
Given numbers has no common factors except 1. So, there LCM is their product i.e 5045986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5045986
Therefore, the GCF of Fractions 5383/814,5227/6199 is 1/5045986
Least Common Multiple of 814,6199 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 814,6199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,6199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,6199) x common factors =1 x 1 = 1
LCM(814,6199) = ( 814 × 6199 ) / 1
LCM(814,6199) = 5045986 / 1
LCM(814,6199) = 5045986
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FAQs on GCF of Fractions of 5383/814, 5227/6199
1. What is the HCF of 5383,5227?
The HCF of 5383,5227 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 5383/814, 5227/6199?
Answer: GCF of Numerators as per given numbers 5383/814, 5227/6199 is
GCF of Numerators i.e. for 5383,5227 is 1
LCM of denominators i.e. for 814,6199 is 5045986.
Thus, GCF of Fractions is 1/5045986.Finally, GCF of Fractions for 5383/814, 5227/6199 is 1/5045986.