GCF of 8481/134, 5490/191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8481/134, 5490/191 i.e 3/25594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8481/134, 5490/191.
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 8481/134,5490/191?
Given fractions are 8481/134,5490/191
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 8481/134,5490/191, numerators are 8481,5490
Denominators are 134,191
The GCF of 8481,5490 is 3 .
LCM of 134,191 is 25594.
The greatest common factor of 8481/134,5490/191 = [GCF of 8481,5490]/[LCM of 134,191]= 3/25594
Therefore, the GCF of 8481/134,5490/191 is 3/25594.
To find the highest common factor of 8481,5490, we have to find the factors of both numbers and list the highest common factor.
The factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481
The factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
The HCF of 8481,5490 is 3.
Lets's calculate GCF of 8481,5490
| 3 | 8481, 5490 |
| 2827, 1830 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8481,5490 By Matching Biggest Common Factor Method
Now, list down the factors of 8481
:1,3,11,33,257,771,2827,8481
Now, list down the factors of 5490
:1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Greatest Common Factor
We found the factors 8481,5490 . The biggest common factor number is the GCF number.
So the greatest common factor 8481,5490 is 3.
Lets's calculate LCM of 134,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 25594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25594
Therefore, the GCF of Fractions 8481/134,5490/191 is 3/25594
Least Common Multiple of 134,191 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 134,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,191) x common factors =1 x 1 = 1
LCM(134,191) = ( 134 × 191 ) / 1
LCM(134,191) = 25594 / 1
LCM(134,191) = 25594
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FAQs on GCF of Fractions of 8481/134, 5490/191
1. What is the HCF of 8481,5490?
The HCF of 8481,5490 is 3
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 8481/134, 5490/191?
Answer: GCF of Numerators as per given numbers 8481/134, 5490/191 is
GCF of Numerators i.e. for 8481,5490 is 3
LCM of denominators i.e. for 134,191 is 25594.
Thus, GCF of Fractions is 3/25594.Finally, GCF of Fractions for 8481/134, 5490/191 is 3/25594.