Greatest Common Factor of 1004/26, 1844/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1004/26, 1844/524

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 1004/26,1844/524

Given fractions are 1004/26,1844/524

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 1004,1844

Greatest Common Factor of Numerators i.e. GCF of 1004,1844 is 4 .

LCM of Denominators means LCM of 26,524 as per the given fractions.

LCM of 26,524 is 6812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1004,1844

GCF of Fractions 1004/26,1844/524 is 4/6812

2 1004, 1844
2 502, 922
251, 461

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1004,1844 By Matching Biggest Common Factor Method

Greatest Common Factor of 1004,1844 By Matching Biggest Common Factor Method

Factors of 1004

List of positive integer factors of 1004 that divides 1004 without a remainder.

1,2,4,251,502,1004

Factors of 1844

List of positive integer factors of 1844 that divides 1844 without a remainder.

1,2,4,461,922,1844

Greatest Common Factor

We found the factors 1004,1844 . The biggest common factor number is the GCF number.
So the greatest common factor 1004,1844 is 4.

Lets's calculate LCM of 26,524

2 26, 524
13, 262

∴ So the LCM of the given numbers is 2 x 13 x 262 = 6812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6812

Therefore, the GCF of Fractions 1004/26,1844/524 is 4/6812

Least Common Multiple of 26,524 with GCF Formula

Least Common Multiple of 26,524 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 26,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,524) = 2

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

GCF(26,524) x common factors =2 x 1 = 2

LCM(26,524) = ( 26 × 524 ) / 2

LCM(26,524) = 13624 / 2

LCM(26,524) = 6812


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 1004/26, 1844/524

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 1004/26, 1844/524?

Answer: GCF of Numerators as per given numbers 1004/26, 1844/524 is

GCF of Numerators i.e. for 1004,1844 is 4

LCM of denominators i.e. for 26,524 is 6812.

Thus, GCF of Fractions is 4/6812.Finally, GCF of Fractions for 1004/26, 1844/524 is 4/6812.