Greatest Common Factor of 1861/800, 1600/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1861/800, 1600/723

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1861/800,1600/723

Given fractions are 1861/800,1600/723

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1861,1600

Greatest Common Factor of Numerators i.e. GCF of 1861,1600 is 1 .

LCM of Denominators means LCM of 800,723 as per the given fractions.

LCM of 800,723 is 578400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1861,1600

GCF of Fractions 1861/800,1600/723 is 1/578400

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1861,1600 By Matching Biggest Common Factor Method

Greatest Common Factor of 1861,1600 By Matching Biggest Common Factor Method

Factors of 1861

List of positive integer factors of 1861 that divides 1861 without a remainder.

1,1861

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600

Greatest Common Factor

We found the factors 1861,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 1861,1600 is 1.

Lets's calculate LCM of 800,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 578400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/578400

Therefore, the GCF of Fractions 1861/800,1600/723 is 1/578400

Least Common Multiple of 800,723 with GCF Formula

Least Common Multiple of 800,723 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 800,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,723) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(800,723) x common factors =1 x 1 = 1

LCM(800,723) = ( 800 × 723 ) / 1

LCM(800,723) = 578400 / 1

LCM(800,723) = 578400


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1861/800, 1600/723

1. 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.

2. What is the GCF of Fractions for 1861/800, 1600/723?

Answer: GCF of Numerators as per given numbers 1861/800, 1600/723 is

GCF of Numerators i.e. for 1861,1600 is 1

LCM of denominators i.e. for 800,723 is 578400.

Thus, GCF of Fractions is 1/578400.Finally, GCF of Fractions for 1861/800, 1600/723 is 1/578400.