GCF of 7181/534, 9487/3598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7181/534, 9487/3598 i.e 1/960666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7181/534, 9487/3598.
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 7181/534,9487/3598?
Given fractions are 7181/534,9487/3598
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 7181/534,9487/3598, numerators are 7181,9487
Denominators are 534,3598
The GCF of 7181,9487 is 1 .
LCM of 534,3598 is 960666.
The greatest common factor of 7181/534,9487/3598 = [GCF of 7181,9487]/[LCM of 534,3598]= 1/960666
Therefore, the GCF of 7181/534,9487/3598 is 1/960666.
To find the highest common factor of 7181,9487, we have to find the factors of both numbers and list the highest common factor.
The factors of 7181 are 1, 43, 167, 7181
The factors of 9487 are 1, 53, 179, 9487
The HCF of 7181,9487 is 1.
Lets's calculate GCF of 7181,9487
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7181,9487 By Matching Biggest Common Factor Method
Now, list down the factors of 7181
:1,43,167,7181
Now, list down the factors of 9487
:1,53,179,9487
Greatest Common Factor
We found the factors 7181,9487 . The biggest common factor number is the GCF number.
So the greatest common factor 7181,9487 is 1.
Lets's calculate LCM of 534,3598
| 2 | 534, 3598 |
| 267, 1799 |
∴ So the LCM of the given numbers is 2 x 267 x 1799 = 960666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960666
Therefore, the GCF of Fractions 7181/534,9487/3598 is 1/960666
Least Common Multiple of 534,3598 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 534,3598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,3598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,3598) x common factors =2 x 1 = 2
LCM(534,3598) = ( 534 × 3598 ) / 2
LCM(534,3598) = 1921332 / 2
LCM(534,3598) = 960666
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FAQs on GCF of Fractions of 7181/534, 9487/3598
1. What is the HCF of 7181,9487?
The HCF of 7181,9487 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 7181/534, 9487/3598?
Answer: GCF of Numerators as per given numbers 7181/534, 9487/3598 is
GCF of Numerators i.e. for 7181,9487 is 1
LCM of denominators i.e. for 534,3598 is 960666.
Thus, GCF of Fractions is 1/960666.Finally, GCF of Fractions for 7181/534, 9487/3598 is 1/960666.