Greatest Common Factor of 1445/26, 6511/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1445/26, 6511/796

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 1445/26,6511/796

Given fractions are 1445/26,6511/796

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 1445,6511

Greatest Common Factor of Numerators i.e. GCF of 1445,6511 is 17 .

LCM of Denominators means LCM of 26,796 as per the given fractions.

LCM of 26,796 is 10348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1445,6511

GCF of Fractions 1445/26,6511/796 is 17/10348

17 1445, 6511
85, 383

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 1445,6511 By Matching Biggest Common Factor Method

Greatest Common Factor of 1445,6511 By Matching Biggest Common Factor Method

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1,5,17,85,289,1445

Factors of 6511

List of positive integer factors of 6511 that divides 6511 without a remainder.

1,17,383,6511

Greatest Common Factor

We found the factors 1445,6511 . The biggest common factor number is the GCF number.
So the greatest common factor 1445,6511 is 17.

Lets's calculate LCM of 26,796

2 26, 796
13, 398

∴ So the LCM of the given numbers is 2 x 13 x 398 = 10348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/10348

Therefore, the GCF of Fractions 1445/26,6511/796 is 17/10348

Least Common Multiple of 26,796 with GCF Formula

Least Common Multiple of 26,796 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 26,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,796) = 2

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

GCF(26,796) x common factors =2 x 1 = 2

LCM(26,796) = ( 26 × 796 ) / 2

LCM(26,796) = 20696 / 2

LCM(26,796) = 10348


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 1445/26, 6511/796

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 1445/26, 6511/796?

Answer: GCF of Numerators as per given numbers 1445/26, 6511/796 is

GCF of Numerators i.e. for 1445,6511 is 17

LCM of denominators i.e. for 26,796 is 10348.

Thus, GCF of Fractions is 17/10348.Finally, GCF of Fractions for 1445/26, 6511/796 is 17/10348.