GCF of 7198/682, 8481/5331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7198/682, 8481/5331 i.e 1/3635742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7198/682, 8481/5331.
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 7198/682,8481/5331?
Given fractions are 7198/682,8481/5331
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 7198/682,8481/5331, numerators are 7198,8481
Denominators are 682,5331
The GCF of 7198,8481 is 1 .
LCM of 682,5331 is 3635742.
The greatest common factor of 7198/682,8481/5331 = [GCF of 7198,8481]/[LCM of 682,5331]= 1/3635742
Therefore, the GCF of 7198/682,8481/5331 is 1/3635742.
To find the highest common factor of 7198,8481, we have to find the factors of both numbers and list the highest common factor.
The factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198
The factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481
The HCF of 7198,8481 is 1.
Lets's calculate GCF of 7198,8481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7198,8481 By Matching Biggest Common Factor Method
Now, list down the factors of 7198
:1,2,59,61,118,122,3599,7198
Now, list down the factors of 8481
:1,3,11,33,257,771,2827,8481
Greatest Common Factor
We found the factors 7198,8481 . The biggest common factor number is the GCF number.
So the greatest common factor 7198,8481 is 1.
Lets's calculate LCM of 682,5331
Given numbers has no common factors except 1. So, there LCM is their product i.e 3635742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3635742
Therefore, the GCF of Fractions 7198/682,8481/5331 is 1/3635742
Least Common Multiple of 682,5331 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 682,5331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,5331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,5331) x common factors =1 x 1 = 1
LCM(682,5331) = ( 682 × 5331 ) / 1
LCM(682,5331) = 3635742 / 1
LCM(682,5331) = 3635742
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FAQs on GCF of Fractions of 7198/682, 8481/5331
1. What is the HCF of 7198,8481?
The HCF of 7198,8481 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 7198/682, 8481/5331?
Answer: GCF of Numerators as per given numbers 7198/682, 8481/5331 is
GCF of Numerators i.e. for 7198,8481 is 1
LCM of denominators i.e. for 682,5331 is 3635742.
Thus, GCF of Fractions is 1/3635742.Finally, GCF of Fractions for 7198/682, 8481/5331 is 1/3635742.