GCF of 8018/743, 9304/8461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8018/743, 9304/8461 i.e 2/6286523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8018/743, 9304/8461.
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 8018/743,9304/8461?
Given fractions are 8018/743,9304/8461
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 8018/743,9304/8461, numerators are 8018,9304
Denominators are 743,8461
The GCF of 8018,9304 is 2 .
LCM of 743,8461 is 6286523.
The greatest common factor of 8018/743,9304/8461 = [GCF of 8018,9304]/[LCM of 743,8461]= 2/6286523
Therefore, the GCF of 8018/743,9304/8461 is 2/6286523.
To find the highest common factor of 8018,9304, 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 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304
The HCF of 8018,9304 is 2.
Lets's calculate GCF of 8018,9304
| 2 | 8018, 9304 |
| 4009, 4652 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8018,9304 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 9304
:1,2,4,8,1163,2326,4652,9304
Greatest Common Factor
We found the factors 8018,9304 . The biggest common factor number is the GCF number.
So the greatest common factor 8018,9304 is 2.
Lets's calculate LCM of 743,8461
Given numbers has no common factors except 1. So, there LCM is their product i.e 6286523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6286523
Therefore, the GCF of Fractions 8018/743,9304/8461 is 2/6286523
Least Common Multiple of 743,8461 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 743,8461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,8461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,8461) x common factors =1 x 1 = 1
LCM(743,8461) = ( 743 × 8461 ) / 1
LCM(743,8461) = 6286523 / 1
LCM(743,8461) = 6286523
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FAQs on GCF of Fractions of 8018/743, 9304/8461
1. What is the HCF of 8018,9304?
The HCF of 8018,9304 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 8018/743, 9304/8461?
Answer: GCF of Numerators as per given numbers 8018/743, 9304/8461 is
GCF of Numerators i.e. for 8018,9304 is 2
LCM of denominators i.e. for 743,8461 is 6286523.
Thus, GCF of Fractions is 2/6286523.Finally, GCF of Fractions for 8018/743, 9304/8461 is 2/6286523.