Greatest Common Factor of 1528/43, 2483/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1528/43, 2483/673

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 1528/43,2483/673

Given fractions are 1528/43,2483/673

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 1528,2483

Greatest Common Factor of Numerators i.e. GCF of 1528,2483 is 191 .

LCM of Denominators means LCM of 43,673 as per the given fractions.

LCM of 43,673 is 28939 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1528,2483

GCF of Fractions 1528/43,2483/673 is 191/28939

191 1528, 2483
8, 13

∴ So the GCF of the given numbers is 191 = 191

Greatest Common Factor of 1528,2483 By Matching Biggest Common Factor Method

Greatest Common Factor of 1528,2483 By Matching Biggest Common Factor Method

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1,2,4,8,191,382,764,1528

Factors of 2483

List of positive integer factors of 2483 that divides 2483 without a remainder.

1,13,191,2483

Greatest Common Factor

We found the factors 1528,2483 . The biggest common factor number is the GCF number.
So the greatest common factor 1528,2483 is 191.

Lets's calculate LCM of 43,673

Given numbers has no common factors except 1. So, there LCM is their product i.e 28939

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 191/28939

Therefore, the GCF of Fractions 1528/43,2483/673 is 191/28939

Least Common Multiple of 43,673 with GCF Formula

Least Common Multiple of 43,673 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 43,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,673) = 1

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

GCF(43,673) x common factors =1 x 1 = 1

LCM(43,673) = ( 43 × 673 ) / 1

LCM(43,673) = 28939 / 1

LCM(43,673) = 28939


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 1528/43, 2483/673

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 1528/43, 2483/673?

Answer: GCF of Numerators as per given numbers 1528/43, 2483/673 is

GCF of Numerators i.e. for 1528,2483 is 191

LCM of denominators i.e. for 43,673 is 28939.

Thus, GCF of Fractions is 191/28939.Finally, GCF of Fractions for 1528/43, 2483/673 is 191/28939.