GCF of 8833/511, 4175/6150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8833/511, 4175/6150 i.e 1/3142650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8833/511, 4175/6150.
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 8833/511,4175/6150?
Given fractions are 8833/511,4175/6150
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 8833/511,4175/6150, numerators are 8833,4175
Denominators are 511,6150
The GCF of 8833,4175 is 1 .
LCM of 511,6150 is 3142650.
The greatest common factor of 8833/511,4175/6150 = [GCF of 8833,4175]/[LCM of 511,6150]= 1/3142650
Therefore, the GCF of 8833/511,4175/6150 is 1/3142650.
To find the highest common factor of 8833,4175, we have to find the factors of both numbers and list the highest common factor.
The factors of 8833 are 1, 11, 73, 121, 803, 8833
The factors of 4175 are 1, 5, 25, 167, 835, 4175
The HCF of 8833,4175 is 1.
Lets's calculate GCF of 8833,4175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8833,4175 By Matching Biggest Common Factor Method
Now, list down the factors of 8833
:1,11,73,121,803,8833
Now, list down the factors of 4175
:1,5,25,167,835,4175
Greatest Common Factor
We found the factors 8833,4175 . The biggest common factor number is the GCF number.
So the greatest common factor 8833,4175 is 1.
Lets's calculate LCM of 511,6150
Given numbers has no common factors except 1. So, there LCM is their product i.e 3142650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3142650
Therefore, the GCF of Fractions 8833/511,4175/6150 is 1/3142650
Least Common Multiple of 511,6150 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 511,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,6150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,6150) x common factors =1 x 1 = 1
LCM(511,6150) = ( 511 × 6150 ) / 1
LCM(511,6150) = 3142650 / 1
LCM(511,6150) = 3142650
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8833/511, 4175/6150
1. What is the HCF of 8833,4175?
The HCF of 8833,4175 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 8833/511, 4175/6150?
Answer: GCF of Numerators as per given numbers 8833/511, 4175/6150 is
GCF of Numerators i.e. for 8833,4175 is 1
LCM of denominators i.e. for 511,6150 is 3142650.
Thus, GCF of Fractions is 1/3142650.Finally, GCF of Fractions for 8833/511, 4175/6150 is 1/3142650.