GCF of 3449/814, 8976/5893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3449/814, 8976/5893 i.e 1/4796902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3449/814, 8976/5893.
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 3449/814,8976/5893?
Given fractions are 3449/814,8976/5893
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 3449/814,8976/5893, numerators are 3449,8976
Denominators are 814,5893
The GCF of 3449,8976 is 1 .
LCM of 814,5893 is 4796902.
The greatest common factor of 3449/814,8976/5893 = [GCF of 3449,8976]/[LCM of 814,5893]= 1/4796902
Therefore, the GCF of 3449/814,8976/5893 is 1/4796902.
To find the highest common factor of 3449,8976, we have to find the factors of both numbers and list the highest common factor.
The factors of 3449 are 1, 3449
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The HCF of 3449,8976 is 1.
Lets's calculate GCF of 3449,8976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3449,8976 By Matching Biggest Common Factor Method
Now, list down the factors of 3449
:1,3449
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Greatest Common Factor
We found the factors 3449,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 3449,8976 is 1.
Lets's calculate LCM of 814,5893
Given numbers has no common factors except 1. So, there LCM is their product i.e 4796902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4796902
Therefore, the GCF of Fractions 3449/814,8976/5893 is 1/4796902
Least Common Multiple of 814,5893 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 814,5893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,5893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,5893) x common factors =1 x 1 = 1
LCM(814,5893) = ( 814 × 5893 ) / 1
LCM(814,5893) = 4796902 / 1
LCM(814,5893) = 4796902
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FAQs on GCF of Fractions of 3449/814, 8976/5893
1. What is the HCF of 3449,8976?
The HCF of 3449,8976 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 3449/814, 8976/5893?
Answer: GCF of Numerators as per given numbers 3449/814, 8976/5893 is
GCF of Numerators i.e. for 3449,8976 is 1
LCM of denominators i.e. for 814,5893 is 4796902.
Thus, GCF of Fractions is 1/4796902.Finally, GCF of Fractions for 3449/814, 8976/5893 is 1/4796902.