Greatest Common Factor of 643/38, 223/1273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 643/38, 223/1273

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 643/38,223/1273

Given fractions are 643/38,223/1273

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 643,223

Greatest Common Factor of Numerators i.e. GCF of 643,223 is 1 .

LCM of Denominators means LCM of 38,1273 as per the given fractions.

LCM of 38,1273 is 2546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 643,223

GCF of Fractions 643/38,223/1273 is 1/2546

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

Greatest Common Factor of 643,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,223 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 643,223 . The biggest common factor number is the GCF number.
So the greatest common factor 643,223 is 1.

Lets's calculate LCM of 38,1273

19 38, 1273
2, 67

∴ So the LCM of the given numbers is 19 x 2 x 67 = 2546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2546

Therefore, the GCF of Fractions 643/38,223/1273 is 1/2546

Least Common Multiple of 38,1273 with GCF Formula

Least Common Multiple of 38,1273 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 38,1273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,1273) = 19

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

GCF(38,1273) x common factors =19 x 1 = 19

LCM(38,1273) = ( 38 × 1273 ) / 19

LCM(38,1273) = 48374 / 19

LCM(38,1273) = 2546


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 643/38, 223/1273

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 643/38, 223/1273?

Answer: GCF of Numerators as per given numbers 643/38, 223/1273 is

GCF of Numerators i.e. for 643,223 is 1

LCM of denominators i.e. for 38,1273 is 2546.

Thus, GCF of Fractions is 1/2546.Finally, GCF of Fractions for 643/38, 223/1273 is 1/2546.