Greatest Common Factor of 1793/224, 4609/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1793/224, 4609/283

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 1793/224,4609/283

Given fractions are 1793/224,4609/283

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 1793,4609

Greatest Common Factor of Numerators i.e. GCF of 1793,4609 is 11 .

LCM of Denominators means LCM of 224,283 as per the given fractions.

LCM of 224,283 is 63392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1793,4609

GCF of Fractions 1793/224,4609/283 is 11/63392

11 1793, 4609
163, 419

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1793,4609 By Matching Biggest Common Factor Method

Greatest Common Factor of 1793,4609 By Matching Biggest Common Factor Method

Factors of 1793

List of positive integer factors of 1793 that divides 1793 without a remainder.

1,11,163,1793

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1,11,419,4609

Greatest Common Factor

We found the factors 1793,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 1793,4609 is 11.

Lets's calculate LCM of 224,283

Given numbers has no common factors except 1. So, there LCM is their product i.e 63392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/63392

Therefore, the GCF of Fractions 1793/224,4609/283 is 11/63392

Least Common Multiple of 224,283 with GCF Formula

Least Common Multiple of 224,283 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 224,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,283) = 1

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

GCF(224,283) x common factors =1 x 1 = 1

LCM(224,283) = ( 224 × 283 ) / 1

LCM(224,283) = 63392 / 1

LCM(224,283) = 63392


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 1793/224, 4609/283

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 1793/224, 4609/283?

Answer: GCF of Numerators as per given numbers 1793/224, 4609/283 is

GCF of Numerators i.e. for 1793,4609 is 11

LCM of denominators i.e. for 224,283 is 63392.

Thus, GCF of Fractions is 11/63392.Finally, GCF of Fractions for 1793/224, 4609/283 is 11/63392.