Greatest Common Factor of 1009/220, 1394/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1009/220, 1394/811

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 1009/220,1394/811

Given fractions are 1009/220,1394/811

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 1009,1394

Greatest Common Factor of Numerators i.e. GCF of 1009,1394 is 1 .

LCM of Denominators means LCM of 220,811 as per the given fractions.

LCM of 220,811 is 178420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1009,1394

GCF of Fractions 1009/220,1394/811 is 1/178420

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

Greatest Common Factor of 1009,1394 By Matching Biggest Common Factor Method

Greatest Common Factor of 1009,1394 By Matching Biggest Common Factor Method

Factors of 1009

List of positive integer factors of 1009 that divides 1009 without a remainder.

1,1009

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1,2,17,34,41,82,697,1394

Greatest Common Factor

We found the factors 1009,1394 . The biggest common factor number is the GCF number.
So the greatest common factor 1009,1394 is 1.

Lets's calculate LCM of 220,811

Given numbers has no common factors except 1. So, there LCM is their product i.e 178420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178420

Therefore, the GCF of Fractions 1009/220,1394/811 is 1/178420

Least Common Multiple of 220,811 with GCF Formula

Least Common Multiple of 220,811 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 220,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,811) = 1

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

GCF(220,811) x common factors =1 x 1 = 1

LCM(220,811) = ( 220 × 811 ) / 1

LCM(220,811) = 178420 / 1

LCM(220,811) = 178420


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 1009/220, 1394/811

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 1009/220, 1394/811?

Answer: GCF of Numerators as per given numbers 1009/220, 1394/811 is

GCF of Numerators i.e. for 1009,1394 is 1

LCM of denominators i.e. for 220,811 is 178420.

Thus, GCF of Fractions is 1/178420.Finally, GCF of Fractions for 1009/220, 1394/811 is 1/178420.