GCF of 4394/769, 8189/8876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4394/769, 8189/8876 i.e 1/6825644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4394/769, 8189/8876.
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 4394/769,8189/8876?
Given fractions are 4394/769,8189/8876
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 4394/769,8189/8876, numerators are 4394,8189
Denominators are 769,8876
The GCF of 4394,8189 is 1 .
LCM of 769,8876 is 6825644.
The greatest common factor of 4394/769,8189/8876 = [GCF of 4394,8189]/[LCM of 769,8876]= 1/6825644
Therefore, the GCF of 4394/769,8189/8876 is 1/6825644.
To find the highest common factor of 4394,8189, we have to find the factors of both numbers and list the highest common factor.
The factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394
The factors of 8189 are 1, 19, 431, 8189
The HCF of 4394,8189 is 1.
Lets's calculate GCF of 4394,8189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4394,8189 By Matching Biggest Common Factor Method
Now, list down the factors of 4394
:1,2,13,26,169,338,2197,4394
Now, list down the factors of 8189
:1,19,431,8189
Greatest Common Factor
We found the factors 4394,8189 . The biggest common factor number is the GCF number.
So the greatest common factor 4394,8189 is 1.
Lets's calculate LCM of 769,8876
Given numbers has no common factors except 1. So, there LCM is their product i.e 6825644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6825644
Therefore, the GCF of Fractions 4394/769,8189/8876 is 1/6825644
Least Common Multiple of 769,8876 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 769,8876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,8876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,8876) x common factors =1 x 1 = 1
LCM(769,8876) = ( 769 × 8876 ) / 1
LCM(769,8876) = 6825644 / 1
LCM(769,8876) = 6825644
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4394/769, 8189/8876
1. What is the HCF of 4394,8189?
The HCF of 4394,8189 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 4394/769, 8189/8876?
Answer: GCF of Numerators as per given numbers 4394/769, 8189/8876 is
GCF of Numerators i.e. for 4394,8189 is 1
LCM of denominators i.e. for 769,8876 is 6825644.
Thus, GCF of Fractions is 1/6825644.Finally, GCF of Fractions for 4394/769, 8189/8876 is 1/6825644.