Greatest Common Factor of 554/26, 738/8786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 554/26, 738/8786

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 554/26,738/8786

Given fractions are 554/26,738/8786

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 554,738

Greatest Common Factor of Numerators i.e. GCF of 554,738 is 2 .

LCM of Denominators means LCM of 26,8786 as per the given fractions.

LCM of 26,8786 is 114218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 554,738

GCF of Fractions 554/26,738/8786 is 2/114218

2 554, 738
277, 369

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

Greatest Common Factor of 554,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,738 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 554,738 . The biggest common factor number is the GCF number.
So the greatest common factor 554,738 is 2.

Lets's calculate LCM of 26,8786

2 26, 8786
13, 4393

∴ So the LCM of the given numbers is 2 x 13 x 4393 = 114218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114218

Therefore, the GCF of Fractions 554/26,738/8786 is 2/114218

Least Common Multiple of 26,8786 with GCF Formula

Least Common Multiple of 26,8786 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 26,8786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,8786) = 2

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

GCF(26,8786) x common factors =2 x 1 = 2

LCM(26,8786) = ( 26 × 8786 ) / 2

LCM(26,8786) = 228436 / 2

LCM(26,8786) = 114218


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 554/26, 738/8786

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 554/26, 738/8786?

Answer: GCF of Numerators as per given numbers 554/26, 738/8786 is

GCF of Numerators i.e. for 554,738 is 2

LCM of denominators i.e. for 26,8786 is 114218.

Thus, GCF of Fractions is 2/114218.Finally, GCF of Fractions for 554/26, 738/8786 is 2/114218.