GCF of 809/298, 4125/875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 809/298, 4125/875 i.e 1/260750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 809/298, 4125/875.
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 809/298,4125/875?
Given fractions are 809/298,4125/875
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 809/298,4125/875, numerators are 809,4125
Denominators are 298,875
The GCF of 809,4125 is 1 .
LCM of 298,875 is 260750.
The greatest common factor of 809/298,4125/875 = [GCF of 809,4125]/[LCM of 298,875]= 1/260750
Therefore, the GCF of 809/298,4125/875 is 1/260750.
To find the highest common factor of 809,4125, we have to find the factors of both numbers and list the highest common factor.
The factors of 809 are 1, 809
The factors of 4125 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125
The HCF of 809,4125 is 1.
Lets's calculate GCF of 809,4125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 809,4125 By Matching Biggest Common Factor Method
Now, list down the factors of 809
:1,809
Now, list down the factors of 4125
:1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125
Greatest Common Factor
We found the factors 809,4125 . The biggest common factor number is the GCF number.
So the greatest common factor 809,4125 is 1.
Lets's calculate LCM of 298,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 260750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260750
Therefore, the GCF of Fractions 809/298,4125/875 is 1/260750
Least Common Multiple of 298,875 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 298,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,875) x common factors =1 x 1 = 1
LCM(298,875) = ( 298 × 875 ) / 1
LCM(298,875) = 260750 / 1
LCM(298,875) = 260750
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FAQs on GCF of Fractions of 809/298, 4125/875
1. What is the HCF of 809,4125?
The HCF of 809,4125 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 809/298, 4125/875?
Answer: GCF of Numerators as per given numbers 809/298, 4125/875 is
GCF of Numerators i.e. for 809,4125 is 1
LCM of denominators i.e. for 298,875 is 260750.
Thus, GCF of Fractions is 1/260750.Finally, GCF of Fractions for 809/298, 4125/875 is 1/260750.