GCF of 4075/105, 5329/9117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4075/105, 5329/9117 i.e 1/319095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4075/105, 5329/9117.
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 4075/105,5329/9117?
Given fractions are 4075/105,5329/9117
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 4075/105,5329/9117, numerators are 4075,5329
Denominators are 105,9117
The GCF of 4075,5329 is 1 .
LCM of 105,9117 is 319095.
The greatest common factor of 4075/105,5329/9117 = [GCF of 4075,5329]/[LCM of 105,9117]= 1/319095
Therefore, the GCF of 4075/105,5329/9117 is 1/319095.
To find the highest common factor of 4075,5329, we have to find the factors of both numbers and list the highest common factor.
The factors of 4075 are 1, 5, 25, 163, 815, 4075
The factors of 5329 are 1, 73, 5329
The HCF of 4075,5329 is 1.
Lets's calculate GCF of 4075,5329
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4075,5329 By Matching Biggest Common Factor Method
Now, list down the factors of 4075
:1,5,25,163,815,4075
Now, list down the factors of 5329
:1,73,5329
Greatest Common Factor
We found the factors 4075,5329 . The biggest common factor number is the GCF number.
So the greatest common factor 4075,5329 is 1.
Lets's calculate LCM of 105,9117
| 3 | 105, 9117 |
| 35, 3039 |
∴ So the LCM of the given numbers is 3 x 35 x 3039 = 319095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319095
Therefore, the GCF of Fractions 4075/105,5329/9117 is 1/319095
Least Common Multiple of 105,9117 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 105,9117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,9117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,9117) x common factors =3 x 1 = 3
LCM(105,9117) = ( 105 × 9117 ) / 3
LCM(105,9117) = 957285 / 3
LCM(105,9117) = 319095
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FAQs on GCF of Fractions of 4075/105, 5329/9117
1. What is the HCF of 4075,5329?
The HCF of 4075,5329 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 4075/105, 5329/9117?
Answer: GCF of Numerators as per given numbers 4075/105, 5329/9117 is
GCF of Numerators i.e. for 4075,5329 is 1
LCM of denominators i.e. for 105,9117 is 319095.
Thus, GCF of Fractions is 1/319095.Finally, GCF of Fractions for 4075/105, 5329/9117 is 1/319095.