GCF of 8018/811, 5182/3972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8018/811, 5182/3972 i.e 2/3221292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8018/811, 5182/3972.
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 8018/811,5182/3972?
Given fractions are 8018/811,5182/3972
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 8018/811,5182/3972, numerators are 8018,5182
Denominators are 811,3972
The GCF of 8018,5182 is 2 .
LCM of 811,3972 is 3221292.
The greatest common factor of 8018/811,5182/3972 = [GCF of 8018,5182]/[LCM of 811,3972]= 2/3221292
Therefore, the GCF of 8018/811,5182/3972 is 2/3221292.
To find the highest common factor of 8018,5182, we have to find the factors of both numbers and list the highest common factor.
The factors of 8018 are 1, 2, 19, 38, 211, 422, 4009, 8018
The factors of 5182 are 1, 2, 2591, 5182
The HCF of 8018,5182 is 2.
Lets's calculate GCF of 8018,5182
| 2 | 8018, 5182 |
| 4009, 2591 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8018,5182 By Matching Biggest Common Factor Method
Now, list down the factors of 8018
:1,2,19,38,211,422,4009,8018
Now, list down the factors of 5182
:1,2,2591,5182
Greatest Common Factor
We found the factors 8018,5182 . The biggest common factor number is the GCF number.
So the greatest common factor 8018,5182 is 2.
Lets's calculate LCM of 811,3972
Given numbers has no common factors except 1. So, there LCM is their product i.e 3221292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3221292
Therefore, the GCF of Fractions 8018/811,5182/3972 is 2/3221292
Least Common Multiple of 811,3972 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 811,3972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,3972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,3972) x common factors =1 x 1 = 1
LCM(811,3972) = ( 811 × 3972 ) / 1
LCM(811,3972) = 3221292 / 1
LCM(811,3972) = 3221292
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FAQs on GCF of Fractions of 8018/811, 5182/3972
1. What is the HCF of 8018,5182?
The HCF of 8018,5182 is 2
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 8018/811, 5182/3972?
Answer: GCF of Numerators as per given numbers 8018/811, 5182/3972 is
GCF of Numerators i.e. for 8018,5182 is 2
LCM of denominators i.e. for 811,3972 is 3221292.
Thus, GCF of Fractions is 2/3221292.Finally, GCF of Fractions for 8018/811, 5182/3972 is 2/3221292.