GCF of 4105/469, 8896/7130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4105/469, 8896/7130 i.e 1/3343970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4105/469, 8896/7130.
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 4105/469,8896/7130?
Given fractions are 4105/469,8896/7130
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 4105/469,8896/7130, numerators are 4105,8896
Denominators are 469,7130
The GCF of 4105,8896 is 1 .
LCM of 469,7130 is 3343970.
The greatest common factor of 4105/469,8896/7130 = [GCF of 4105,8896]/[LCM of 469,7130]= 1/3343970
Therefore, the GCF of 4105/469,8896/7130 is 1/3343970.
To find the highest common factor of 4105,8896, we have to find the factors of both numbers and list the highest common factor.
The factors of 4105 are 1, 5, 821, 4105
The factors of 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896
The HCF of 4105,8896 is 1.
Lets's calculate GCF of 4105,8896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4105,8896 By Matching Biggest Common Factor Method
Now, list down the factors of 4105
:1,5,821,4105
Now, list down the factors of 8896
:1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896
Greatest Common Factor
We found the factors 4105,8896 . The biggest common factor number is the GCF number.
So the greatest common factor 4105,8896 is 1.
Lets's calculate LCM of 469,7130
Given numbers has no common factors except 1. So, there LCM is their product i.e 3343970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3343970
Therefore, the GCF of Fractions 4105/469,8896/7130 is 1/3343970
Least Common Multiple of 469,7130 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 469,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,7130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,7130) x common factors =1 x 1 = 1
LCM(469,7130) = ( 469 × 7130 ) / 1
LCM(469,7130) = 3343970 / 1
LCM(469,7130) = 3343970
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FAQs on GCF of Fractions of 4105/469, 8896/7130
1. What is the HCF of 4105,8896?
The HCF of 4105,8896 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 4105/469, 8896/7130?
Answer: GCF of Numerators as per given numbers 4105/469, 8896/7130 is
GCF of Numerators i.e. for 4105,8896 is 1
LCM of denominators i.e. for 469,7130 is 3343970.
Thus, GCF of Fractions is 1/3343970.Finally, GCF of Fractions for 4105/469, 8896/7130 is 1/3343970.