GCF of 1800/745, 9067/891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1800/745, 9067/891 i.e 1/663795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1800/745, 9067/891.
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 1800/745,9067/891?
Given fractions are 1800/745,9067/891
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 1800/745,9067/891, numerators are 1800,9067
Denominators are 745,891
The GCF of 1800,9067 is 1 .
LCM of 745,891 is 663795.
The greatest common factor of 1800/745,9067/891 = [GCF of 1800,9067]/[LCM of 745,891]= 1/663795
Therefore, the GCF of 1800/745,9067/891 is 1/663795.
To find the highest common factor of 1800,9067, we have to find the factors of both numbers and list the highest common factor.
The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800
The factors of 9067 are 1, 9067
The HCF of 1800,9067 is 1.
Lets's calculate GCF of 1800,9067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1800,9067 By Matching Biggest Common Factor Method
Now, list down the factors of 1800
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800
Now, list down the factors of 9067
:1,9067
Greatest Common Factor
We found the factors 1800,9067 . The biggest common factor number is the GCF number.
So the greatest common factor 1800,9067 is 1.
Lets's calculate LCM of 745,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 663795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/663795
Therefore, the GCF of Fractions 1800/745,9067/891 is 1/663795
Least Common Multiple of 745,891 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 745,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,891) x common factors =1 x 1 = 1
LCM(745,891) = ( 745 × 891 ) / 1
LCM(745,891) = 663795 / 1
LCM(745,891) = 663795
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FAQs on GCF of Fractions of 1800/745, 9067/891
1. What is the HCF of 1800,9067?
The HCF of 1800,9067 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 1800/745, 9067/891?
Answer: GCF of Numerators as per given numbers 1800/745, 9067/891 is
GCF of Numerators i.e. for 1800,9067 is 1
LCM of denominators i.e. for 745,891 is 663795.
Thus, GCF of Fractions is 1/663795.Finally, GCF of Fractions for 1800/745, 9067/891 is 1/663795.