GCF of 8182/531, 4697/8267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8182/531, 4697/8267 i.e 1/4389777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8182/531, 4697/8267.
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 8182/531,4697/8267?
Given fractions are 8182/531,4697/8267
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 8182/531,4697/8267, numerators are 8182,4697
Denominators are 531,8267
The GCF of 8182,4697 is 1 .
LCM of 531,8267 is 4389777.
The greatest common factor of 8182/531,4697/8267 = [GCF of 8182,4697]/[LCM of 531,8267]= 1/4389777
Therefore, the GCF of 8182/531,4697/8267 is 1/4389777.
To find the highest common factor of 8182,4697, we have to find the factors of both numbers and list the highest common factor.
The factors of 8182 are 1, 2, 4091, 8182
The factors of 4697 are 1, 7, 11, 61, 77, 427, 671, 4697
The HCF of 8182,4697 is 1.
Lets's calculate GCF of 8182,4697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8182,4697 By Matching Biggest Common Factor Method
Now, list down the factors of 8182
:1,2,4091,8182
Now, list down the factors of 4697
:1,7,11,61,77,427,671,4697
Greatest Common Factor
We found the factors 8182,4697 . The biggest common factor number is the GCF number.
So the greatest common factor 8182,4697 is 1.
Lets's calculate LCM of 531,8267
Given numbers has no common factors except 1. So, there LCM is their product i.e 4389777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4389777
Therefore, the GCF of Fractions 8182/531,4697/8267 is 1/4389777
Least Common Multiple of 531,8267 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 531,8267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,8267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,8267) x common factors =1 x 1 = 1
LCM(531,8267) = ( 531 × 8267 ) / 1
LCM(531,8267) = 4389777 / 1
LCM(531,8267) = 4389777
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FAQs on GCF of Fractions of 8182/531, 4697/8267
1. What is the HCF of 8182,4697?
The HCF of 8182,4697 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 8182/531, 4697/8267?
Answer: GCF of Numerators as per given numbers 8182/531, 4697/8267 is
GCF of Numerators i.e. for 8182,4697 is 1
LCM of denominators i.e. for 531,8267 is 4389777.
Thus, GCF of Fractions is 1/4389777.Finally, GCF of Fractions for 8182/531, 4697/8267 is 1/4389777.