Greatest Common Factor of 824/220, 2273/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/220, 2273/322

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 824/220,2273/322

Given fractions are 824/220,2273/322

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 824,2273

Greatest Common Factor of Numerators i.e. GCF of 824,2273 is 1 .

LCM of Denominators means LCM of 220,322 as per the given fractions.

LCM of 220,322 is 35420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,2273

GCF of Fractions 824/220,2273/322 is 1/35420

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

Greatest Common Factor of 824,2273 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,2273 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 2273

List of positive integer factors of 2273 that divides 2273 without a remainder.

1,2273

Greatest Common Factor

We found the factors 824,2273 . The biggest common factor number is the GCF number.
So the greatest common factor 824,2273 is 1.

Lets's calculate LCM of 220,322

2 220, 322
110, 161

∴ So the LCM of the given numbers is 2 x 110 x 161 = 35420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35420

Therefore, the GCF of Fractions 824/220,2273/322 is 1/35420

Least Common Multiple of 220,322 with GCF Formula

Least Common Multiple of 220,322 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 220,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,322) = 2

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

GCF(220,322) x common factors =2 x 1 = 2

LCM(220,322) = ( 220 × 322 ) / 2

LCM(220,322) = 70840 / 2

LCM(220,322) = 35420


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 824/220, 2273/322

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 824/220, 2273/322?

Answer: GCF of Numerators as per given numbers 824/220, 2273/322 is

GCF of Numerators i.e. for 824,2273 is 1

LCM of denominators i.e. for 220,322 is 35420.

Thus, GCF of Fractions is 1/35420.Finally, GCF of Fractions for 824/220, 2273/322 is 1/35420.