GCF of 8405/415, 3453/2834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8405/415, 3453/2834 i.e 1/1176110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8405/415, 3453/2834.
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 8405/415,3453/2834?
Given fractions are 8405/415,3453/2834
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 8405/415,3453/2834, numerators are 8405,3453
Denominators are 415,2834
The GCF of 8405,3453 is 1 .
LCM of 415,2834 is 1176110.
The greatest common factor of 8405/415,3453/2834 = [GCF of 8405,3453]/[LCM of 415,2834]= 1/1176110
Therefore, the GCF of 8405/415,3453/2834 is 1/1176110.
To find the highest common factor of 8405,3453, we have to find the factors of both numbers and list the highest common factor.
The factors of 8405 are 1, 5, 41, 205, 1681, 8405
The factors of 3453 are 1, 3, 1151, 3453
The HCF of 8405,3453 is 1.
Lets's calculate GCF of 8405,3453
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8405,3453 By Matching Biggest Common Factor Method
Now, list down the factors of 8405
:1,5,41,205,1681,8405
Now, list down the factors of 3453
:1,3,1151,3453
Greatest Common Factor
We found the factors 8405,3453 . The biggest common factor number is the GCF number.
So the greatest common factor 8405,3453 is 1.
Lets's calculate LCM of 415,2834
Given numbers has no common factors except 1. So, there LCM is their product i.e 1176110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1176110
Therefore, the GCF of Fractions 8405/415,3453/2834 is 1/1176110
Least Common Multiple of 415,2834 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 415,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,2834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,2834) x common factors =1 x 1 = 1
LCM(415,2834) = ( 415 × 2834 ) / 1
LCM(415,2834) = 1176110 / 1
LCM(415,2834) = 1176110
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FAQs on GCF of Fractions of 8405/415, 3453/2834
1. What is the HCF of 8405,3453?
The HCF of 8405,3453 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 8405/415, 3453/2834?
Answer: GCF of Numerators as per given numbers 8405/415, 3453/2834 is
GCF of Numerators i.e. for 8405,3453 is 1
LCM of denominators i.e. for 415,2834 is 1176110.
Thus, GCF of Fractions is 1/1176110.Finally, GCF of Fractions for 8405/415, 3453/2834 is 1/1176110.