GCF of 8302/558, 3133/9077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8302/558, 3133/9077 i.e 1/5064966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8302/558, 3133/9077.
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 8302/558,3133/9077?
Given fractions are 8302/558,3133/9077
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 8302/558,3133/9077, numerators are 8302,3133
Denominators are 558,9077
The GCF of 8302,3133 is 1 .
LCM of 558,9077 is 5064966.
The greatest common factor of 8302/558,3133/9077 = [GCF of 8302,3133]/[LCM of 558,9077]= 1/5064966
Therefore, the GCF of 8302/558,3133/9077 is 1/5064966.
To find the highest common factor of 8302,3133, we have to find the factors of both numbers and list the highest common factor.
The factors of 8302 are 1, 2, 7, 14, 593, 1186, 4151, 8302
The factors of 3133 are 1, 13, 241, 3133
The HCF of 8302,3133 is 1.
Lets's calculate GCF of 8302,3133
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8302,3133 By Matching Biggest Common Factor Method
Now, list down the factors of 8302
:1,2,7,14,593,1186,4151,8302
Now, list down the factors of 3133
:1,13,241,3133
Greatest Common Factor
We found the factors 8302,3133 . The biggest common factor number is the GCF number.
So the greatest common factor 8302,3133 is 1.
Lets's calculate LCM of 558,9077
Given numbers has no common factors except 1. So, there LCM is their product i.e 5064966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5064966
Therefore, the GCF of Fractions 8302/558,3133/9077 is 1/5064966
Least Common Multiple of 558,9077 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 558,9077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,9077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,9077) x common factors =1 x 1 = 1
LCM(558,9077) = ( 558 × 9077 ) / 1
LCM(558,9077) = 5064966 / 1
LCM(558,9077) = 5064966
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FAQs on GCF of Fractions of 8302/558, 3133/9077
1. What is the HCF of 8302,3133?
The HCF of 8302,3133 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 8302/558, 3133/9077?
Answer: GCF of Numerators as per given numbers 8302/558, 3133/9077 is
GCF of Numerators i.e. for 8302,3133 is 1
LCM of denominators i.e. for 558,9077 is 5064966.
Thus, GCF of Fractions is 1/5064966.Finally, GCF of Fractions for 8302/558, 3133/9077 is 1/5064966.