GCF of 3463/750, 3300/1619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3463/750, 3300/1619 i.e 1/1214250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3463/750, 3300/1619.
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 3463/750,3300/1619?
Given fractions are 3463/750,3300/1619
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 3463/750,3300/1619, numerators are 3463,3300
Denominators are 750,1619
The GCF of 3463,3300 is 1 .
LCM of 750,1619 is 1214250.
The greatest common factor of 3463/750,3300/1619 = [GCF of 3463,3300]/[LCM of 750,1619]= 1/1214250
Therefore, the GCF of 3463/750,3300/1619 is 1/1214250.
To find the highest common factor of 3463,3300, we have to find the factors of both numbers and list the highest common factor.
The factors of 3463 are 1, 3463
The factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300
The HCF of 3463,3300 is 1.
Lets's calculate GCF of 3463,3300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3463,3300 By Matching Biggest Common Factor Method
Now, list down the factors of 3463
:1,3463
Now, list down the factors of 3300
:1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300
Greatest Common Factor
We found the factors 3463,3300 . The biggest common factor number is the GCF number.
So the greatest common factor 3463,3300 is 1.
Lets's calculate LCM of 750,1619
Given numbers has no common factors except 1. So, there LCM is their product i.e 1214250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1214250
Therefore, the GCF of Fractions 3463/750,3300/1619 is 1/1214250
Least Common Multiple of 750,1619 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 750,1619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,1619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(750,1619) x common factors =1 x 1 = 1
LCM(750,1619) = ( 750 × 1619 ) / 1
LCM(750,1619) = 1214250 / 1
LCM(750,1619) = 1214250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3463/750, 3300/1619
1. What is the HCF of 3463,3300?
The HCF of 3463,3300 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 3463/750, 3300/1619?
Answer: GCF of Numerators as per given numbers 3463/750, 3300/1619 is
GCF of Numerators i.e. for 3463,3300 is 1
LCM of denominators i.e. for 750,1619 is 1214250.
Thus, GCF of Fractions is 1/1214250.Finally, GCF of Fractions for 3463/750, 3300/1619 is 1/1214250.