GCF of 8845/817, 5399/3229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8845/817, 5399/3229 i.e 1/2638093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8845/817, 5399/3229.
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 8845/817,5399/3229?
Given fractions are 8845/817,5399/3229
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 8845/817,5399/3229, numerators are 8845,5399
Denominators are 817,3229
The GCF of 8845,5399 is 1 .
LCM of 817,3229 is 2638093.
The greatest common factor of 8845/817,5399/3229 = [GCF of 8845,5399]/[LCM of 817,3229]= 1/2638093
Therefore, the GCF of 8845/817,5399/3229 is 1/2638093.
To find the highest common factor of 8845,5399, we have to find the factors of both numbers and list the highest common factor.
The factors of 8845 are 1, 5, 29, 61, 145, 305, 1769, 8845
The factors of 5399 are 1, 5399
The HCF of 8845,5399 is 1.
Lets's calculate GCF of 8845,5399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8845,5399 By Matching Biggest Common Factor Method
Now, list down the factors of 8845
:1,5,29,61,145,305,1769,8845
Now, list down the factors of 5399
:1,5399
Greatest Common Factor
We found the factors 8845,5399 . The biggest common factor number is the GCF number.
So the greatest common factor 8845,5399 is 1.
Lets's calculate LCM of 817,3229
Given numbers has no common factors except 1. So, there LCM is their product i.e 2638093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2638093
Therefore, the GCF of Fractions 8845/817,5399/3229 is 1/2638093
Least Common Multiple of 817,3229 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 817,3229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,3229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,3229) x common factors =1 x 1 = 1
LCM(817,3229) = ( 817 × 3229 ) / 1
LCM(817,3229) = 2638093 / 1
LCM(817,3229) = 2638093
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FAQs on GCF of Fractions of 8845/817, 5399/3229
1. What is the HCF of 8845,5399?
The HCF of 8845,5399 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 8845/817, 5399/3229?
Answer: GCF of Numerators as per given numbers 8845/817, 5399/3229 is
GCF of Numerators i.e. for 8845,5399 is 1
LCM of denominators i.e. for 817,3229 is 2638093.
Thus, GCF of Fractions is 1/2638093.Finally, GCF of Fractions for 8845/817, 5399/3229 is 1/2638093.