GCF of 8063/300, 6125/5882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8063/300, 6125/5882 i.e 1/882300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8063/300, 6125/5882.
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 8063/300,6125/5882?
Given fractions are 8063/300,6125/5882
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 8063/300,6125/5882, numerators are 8063,6125
Denominators are 300,5882
The GCF of 8063,6125 is 1 .
LCM of 300,5882 is 882300.
The greatest common factor of 8063/300,6125/5882 = [GCF of 8063,6125]/[LCM of 300,5882]= 1/882300
Therefore, the GCF of 8063/300,6125/5882 is 1/882300.
To find the highest common factor of 8063,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 8063 are 1, 11, 733, 8063
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 8063,6125 is 1.
Lets's calculate GCF of 8063,6125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8063,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 8063
:1,11,733,8063
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 8063,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 8063,6125 is 1.
Lets's calculate LCM of 300,5882
| 2 | 300, 5882 |
| 150, 2941 |
∴ So the LCM of the given numbers is 2 x 150 x 2941 = 882300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/882300
Therefore, the GCF of Fractions 8063/300,6125/5882 is 1/882300
Least Common Multiple of 300,5882 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 300,5882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,5882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(300,5882) x common factors =2 x 1 = 2
LCM(300,5882) = ( 300 × 5882 ) / 2
LCM(300,5882) = 1764600 / 2
LCM(300,5882) = 882300
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FAQs on GCF of Fractions of 8063/300, 6125/5882
1. What is the HCF of 8063,6125?
The HCF of 8063,6125 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 8063/300, 6125/5882?
Answer: GCF of Numerators as per given numbers 8063/300, 6125/5882 is
GCF of Numerators i.e. for 8063,6125 is 1
LCM of denominators i.e. for 300,5882 is 882300.
Thus, GCF of Fractions is 1/882300.Finally, GCF of Fractions for 8063/300, 6125/5882 is 1/882300.