GCF of 5416/621, 5589/5899
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5416/621, 5589/5899 i.e 1/3663279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5416/621, 5589/5899.
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 5416/621,5589/5899?
Given fractions are 5416/621,5589/5899
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 5416/621,5589/5899, numerators are 5416,5589
Denominators are 621,5899
The GCF of 5416,5589 is 1 .
LCM of 621,5899 is 3663279.
The greatest common factor of 5416/621,5589/5899 = [GCF of 5416,5589]/[LCM of 621,5899]= 1/3663279
Therefore, the GCF of 5416/621,5589/5899 is 1/3663279.
To find the highest common factor of 5416,5589, we have to find the factors of both numbers and list the highest common factor.
The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416
The factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589
The HCF of 5416,5589 is 1.
Lets's calculate GCF of 5416,5589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5416,5589 By Matching Biggest Common Factor Method
Now, list down the factors of 5416
:1,2,4,8,677,1354,2708,5416
Now, list down the factors of 5589
:1,3,9,23,27,69,81,207,243,621,1863,5589
Greatest Common Factor
We found the factors 5416,5589 . The biggest common factor number is the GCF number.
So the greatest common factor 5416,5589 is 1.
Lets's calculate LCM of 621,5899
Given numbers has no common factors except 1. So, there LCM is their product i.e 3663279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3663279
Therefore, the GCF of Fractions 5416/621,5589/5899 is 1/3663279
Least Common Multiple of 621,5899 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 621,5899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,5899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,5899) x common factors =1 x 1 = 1
LCM(621,5899) = ( 621 × 5899 ) / 1
LCM(621,5899) = 3663279 / 1
LCM(621,5899) = 3663279
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FAQs on GCF of Fractions of 5416/621, 5589/5899
1. What is the HCF of 5416,5589?
The HCF of 5416,5589 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 5416/621, 5589/5899?
Answer: GCF of Numerators as per given numbers 5416/621, 5589/5899 is
GCF of Numerators i.e. for 5416,5589 is 1
LCM of denominators i.e. for 621,5899 is 3663279.
Thus, GCF of Fractions is 1/3663279.Finally, GCF of Fractions for 5416/621, 5589/5899 is 1/3663279.