GCF of 6485/481, 1184/7683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6485/481, 1184/7683 i.e 1/284271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6485/481, 1184/7683.
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 6485/481,1184/7683?
Given fractions are 6485/481,1184/7683
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 6485/481,1184/7683, numerators are 6485,1184
Denominators are 481,7683
The GCF of 6485,1184 is 1 .
LCM of 481,7683 is 284271.
The greatest common factor of 6485/481,1184/7683 = [GCF of 6485,1184]/[LCM of 481,7683]= 1/284271
Therefore, the GCF of 6485/481,1184/7683 is 1/284271.
To find the highest common factor of 6485,1184, we have to find the factors of both numbers and list the highest common factor.
The factors of 6485 are 1, 5, 1297, 6485
The factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184
The HCF of 6485,1184 is 1.
Lets's calculate GCF of 6485,1184
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6485,1184 By Matching Biggest Common Factor Method
Now, list down the factors of 6485
:1,5,1297,6485
Now, list down the factors of 1184
:1,2,4,8,16,32,37,74,148,296,592,1184
Greatest Common Factor
We found the factors 6485,1184 . The biggest common factor number is the GCF number.
So the greatest common factor 6485,1184 is 1.
Lets's calculate LCM of 481,7683
| 13 | 481, 7683 |
| 37, 591 |
∴ So the LCM of the given numbers is 13 x 37 x 591 = 284271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284271
Therefore, the GCF of Fractions 6485/481,1184/7683 is 1/284271
Least Common Multiple of 481,7683 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 481,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,7683) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(481,7683) x common factors =13 x 1 = 13
LCM(481,7683) = ( 481 × 7683 ) / 13
LCM(481,7683) = 3695523 / 13
LCM(481,7683) = 284271
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6485/481, 1184/7683
1. What is the HCF of 6485,1184?
The HCF of 6485,1184 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 6485/481, 1184/7683?
Answer: GCF of Numerators as per given numbers 6485/481, 1184/7683 is
GCF of Numerators i.e. for 6485,1184 is 1
LCM of denominators i.e. for 481,7683 is 284271.
Thus, GCF of Fractions is 1/284271.Finally, GCF of Fractions for 6485/481, 1184/7683 is 1/284271.