GCF of 3686/757, 8869/5745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3686/757, 8869/5745 i.e 1/4348965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3686/757, 8869/5745.
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 3686/757,8869/5745?
Given fractions are 3686/757,8869/5745
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 3686/757,8869/5745, numerators are 3686,8869
Denominators are 757,5745
The GCF of 3686,8869 is 1 .
LCM of 757,5745 is 4348965.
The greatest common factor of 3686/757,8869/5745 = [GCF of 3686,8869]/[LCM of 757,5745]= 1/4348965
Therefore, the GCF of 3686/757,8869/5745 is 1/4348965.
To find the highest common factor of 3686,8869, we have to find the factors of both numbers and list the highest common factor.
The factors of 3686 are 1, 2, 19, 38, 97, 194, 1843, 3686
The factors of 8869 are 1, 7, 49, 181, 1267, 8869
The HCF of 3686,8869 is 1.
Lets's calculate GCF of 3686,8869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3686,8869 By Matching Biggest Common Factor Method
Now, list down the factors of 3686
:1,2,19,38,97,194,1843,3686
Now, list down the factors of 8869
:1,7,49,181,1267,8869
Greatest Common Factor
We found the factors 3686,8869 . The biggest common factor number is the GCF number.
So the greatest common factor 3686,8869 is 1.
Lets's calculate LCM of 757,5745
Given numbers has no common factors except 1. So, there LCM is their product i.e 4348965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4348965
Therefore, the GCF of Fractions 3686/757,8869/5745 is 1/4348965
Least Common Multiple of 757,5745 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 757,5745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,5745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,5745) x common factors =1 x 1 = 1
LCM(757,5745) = ( 757 × 5745 ) / 1
LCM(757,5745) = 4348965 / 1
LCM(757,5745) = 4348965
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FAQs on GCF of Fractions of 3686/757, 8869/5745
1. What is the HCF of 3686,8869?
The HCF of 3686,8869 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 3686/757, 8869/5745?
Answer: GCF of Numerators as per given numbers 3686/757, 8869/5745 is
GCF of Numerators i.e. for 3686,8869 is 1
LCM of denominators i.e. for 757,5745 is 4348965.
Thus, GCF of Fractions is 1/4348965.Finally, GCF of Fractions for 3686/757, 8869/5745 is 1/4348965.