GCF of 7081/257, 5986/9308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7081/257, 5986/9308 i.e 73/2392156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7081/257, 5986/9308.
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 7081/257,5986/9308?
Given fractions are 7081/257,5986/9308
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 7081/257,5986/9308, numerators are 7081,5986
Denominators are 257,9308
The GCF of 7081,5986 is 73 .
LCM of 257,9308 is 2392156.
The greatest common factor of 7081/257,5986/9308 = [GCF of 7081,5986]/[LCM of 257,9308]= 73/2392156
Therefore, the GCF of 7081/257,5986/9308 is 73/2392156.
To find the highest common factor of 7081,5986, we have to find the factors of both numbers and list the highest common factor.
The factors of 7081 are 1, 73, 97, 7081
The factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986
The HCF of 7081,5986 is 73.
Lets's calculate GCF of 7081,5986
| 73 | 7081, 5986 |
| 97, 82 |
∴ So the GCF of the given numbers is 73 = 73
Greatest Common Factor of 7081,5986 By Matching Biggest Common Factor Method
Now, list down the factors of 7081
:1,73,97,7081
Now, list down the factors of 5986
:1,2,41,73,82,146,2993,5986
Greatest Common Factor
We found the factors 7081,5986 . The biggest common factor number is the GCF number.
So the greatest common factor 7081,5986 is 73.
Lets's calculate LCM of 257,9308
Given numbers has no common factors except 1. So, there LCM is their product i.e 2392156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/2392156
Therefore, the GCF of Fractions 7081/257,5986/9308 is 73/2392156
Least Common Multiple of 257,9308 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 257,9308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,9308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,9308) x common factors =1 x 1 = 1
LCM(257,9308) = ( 257 × 9308 ) / 1
LCM(257,9308) = 2392156 / 1
LCM(257,9308) = 2392156
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FAQs on GCF of Fractions of 7081/257, 5986/9308
1. What is the HCF of 7081,5986?
The HCF of 7081,5986 is 73
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 7081/257, 5986/9308?
Answer: GCF of Numerators as per given numbers 7081/257, 5986/9308 is
GCF of Numerators i.e. for 7081,5986 is 73
LCM of denominators i.e. for 257,9308 is 2392156.
Thus, GCF of Fractions is 73/2392156.Finally, GCF of Fractions for 7081/257, 5986/9308 is 73/2392156.