GCF of 6263/450, 8485/5832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6263/450, 8485/5832 i.e 1/145800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6263/450, 8485/5832.
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 6263/450,8485/5832?
Given fractions are 6263/450,8485/5832
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 6263/450,8485/5832, numerators are 6263,8485
Denominators are 450,5832
The GCF of 6263,8485 is 1 .
LCM of 450,5832 is 145800.
The greatest common factor of 6263/450,8485/5832 = [GCF of 6263,8485]/[LCM of 450,5832]= 1/145800
Therefore, the GCF of 6263/450,8485/5832 is 1/145800.
To find the highest common factor of 6263,8485, we have to find the factors of both numbers and list the highest common factor.
The factors of 6263 are 1, 6263
The factors of 8485 are 1, 5, 1697, 8485
The HCF of 6263,8485 is 1.
Lets's calculate GCF of 6263,8485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6263,8485 By Matching Biggest Common Factor Method
Now, list down the factors of 6263
:1,6263
Now, list down the factors of 8485
:1,5,1697,8485
Greatest Common Factor
We found the factors 6263,8485 . The biggest common factor number is the GCF number.
So the greatest common factor 6263,8485 is 1.
Lets's calculate LCM of 450,5832
| 2 | 450, 5832 |
| 3 | 225, 2916 |
| 3 | 75, 972 |
| 25, 324 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 324 = 145800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145800
Therefore, the GCF of Fractions 6263/450,8485/5832 is 1/145800
Least Common Multiple of 450,5832 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 450,5832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,5832) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(450,5832) x common factors =18 x 1 = 18
LCM(450,5832) = ( 450 × 5832 ) / 18
LCM(450,5832) = 2624400 / 18
LCM(450,5832) = 145800
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FAQs on GCF of Fractions of 6263/450, 8485/5832
1. What is the HCF of 6263,8485?
The HCF of 6263,8485 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 6263/450, 8485/5832?
Answer: GCF of Numerators as per given numbers 6263/450, 8485/5832 is
GCF of Numerators i.e. for 6263,8485 is 1
LCM of denominators i.e. for 450,5832 is 145800.
Thus, GCF of Fractions is 1/145800.Finally, GCF of Fractions for 6263/450, 8485/5832 is 1/145800.