GCF of 8081/363, 1653/175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8081/363, 1653/175 i.e 1/63525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8081/363, 1653/175.
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 8081/363,1653/175?
Given fractions are 8081/363,1653/175
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 8081/363,1653/175, numerators are 8081,1653
Denominators are 363,175
The GCF of 8081,1653 is 1 .
LCM of 363,175 is 63525.
The greatest common factor of 8081/363,1653/175 = [GCF of 8081,1653]/[LCM of 363,175]= 1/63525
Therefore, the GCF of 8081/363,1653/175 is 1/63525.
To find the highest common factor of 8081,1653, we have to find the factors of both numbers and list the highest common factor.
The factors of 8081 are 1, 8081
The factors of 1653 are 1, 3, 19, 29, 57, 87, 551, 1653
The HCF of 8081,1653 is 1.
Lets's calculate GCF of 8081,1653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8081,1653 By Matching Biggest Common Factor Method
Now, list down the factors of 8081
:1,8081
Now, list down the factors of 1653
:1,3,19,29,57,87,551,1653
Greatest Common Factor
We found the factors 8081,1653 . The biggest common factor number is the GCF number.
So the greatest common factor 8081,1653 is 1.
Lets's calculate LCM of 363,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 63525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63525
Therefore, the GCF of Fractions 8081/363,1653/175 is 1/63525
Least Common Multiple of 363,175 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 363,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,175) x common factors =1 x 1 = 1
LCM(363,175) = ( 363 × 175 ) / 1
LCM(363,175) = 63525 / 1
LCM(363,175) = 63525
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FAQs on GCF of Fractions of 8081/363, 1653/175
1. What is the HCF of 8081,1653?
The HCF of 8081,1653 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 8081/363, 1653/175?
Answer: GCF of Numerators as per given numbers 8081/363, 1653/175 is
GCF of Numerators i.e. for 8081,1653 is 1
LCM of denominators i.e. for 363,175 is 63525.
Thus, GCF of Fractions is 1/63525.Finally, GCF of Fractions for 8081/363, 1653/175 is 1/63525.